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ORCIDCarsten Carstensen
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- affiliation: Humboldt University of Berlin, Germany
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2020 – today
- 2024
[j149]Carsten Carstensen, Benedikt Gräßle, Neela Nataraj:
Unifying a posteriori error analysis of five piecewise quadratic discretisations for the biharmonic equation. J. Num. Math. 32(1): 77- (2024)- [j148]Philipp Bringmann, Carsten Carstensen, Julian Streitberger:
Local parameter selection in the C0 interior penalty method for the biharmonic equation. J. Num. Math. 32(3): 257-274 (2024) - [j147]Carsten Carstensen, Sophie Puttkammer:
Adaptive guaranteed lower eigenvalue bounds with optimal convergence rates. Numerische Mathematik 156(1): 1-38 (2024) - [j146]Carsten Carstensen, Benedikt Gräßle, Ngoc Tien Tran:
Adaptive hybrid high-order method for guaranteed lower eigenvalue bounds. Numerische Mathematik 156(3): 813-851 (2024) - [j145]Carsten Carstensen, Benedikt Gräßle, Neela Nataraj:
A Posteriori Error Control for Fourth-Order Semilinear Problems with Quadratic Nonlinearity. SIAM J. Numer. Anal. 62(2): 919-945 (2024) - [i22]Carsten Carstensen, Norbert Heuer:
A fractional-order trace-dev-div inequality. CoRR abs/2403.01291 (2024) - [i21]Carsten Carstensen, Benedikt Gräßle:
Rate-optimal higher-order adaptive conforming FEM for biharmonic eigenvalue problems on polygonal domains. CoRR abs/2403.12577 (2024) - [i20]Carsten Carstensen, Benedikt Gräßle, Ngoc Tien Tran:
Adaptive hybrid high-order method for guaranteed lower eigenvalue bounds. CoRR abs/2404.01228 (2024) - [i19]Carsten Carstensen, Ngoc Tien Tran:
Locking-free hybrid high-order method for linear elasticity. CoRR abs/2404.02768 (2024) - 2023
- [j144]Carsten Carstensen, Mira Schedensack:
Two discretisations of the time-dependent Bingham problem. Numerische Mathematik 153(2-3): 411-450 (2023) - [j143]Carsten Carstensen, Neela Nataraj, Gopikrishnan Chirappurathu Remesan
, Devika Shylaja:
Unified a priori analysis of four second-order FEM for fourth-order quadratic semilinear problems. Numerische Mathematik 154(3-4): 323-368 (2023) - [j142]Fleurianne Bertrand, Carsten Carstensen, Benedikt Gräßle, Ngoc Tien Tran:
Stabilization-free HHO a posteriori error control. Numerische Mathematik 154(3-4): 369-408 (2023) - [j141]Carsten Carstensen, Sophie Puttkammer:
Direct Guaranteed Lower Eigenvalue Bounds with Optimal a Priori Convergence Rates for the Bi-Laplacian. SIAM J. Numer. Anal. 61(2): 812-836 (2023) - [j140]Carsten Carstensen, Rekha Khot, Amiya Kumar Pani:
Nonconforming Virtual Elements for the Biharmonic Equation with Morley Degrees of Freedom on Polygonal Meshes. SIAM J. Numer. Anal. 61(5): 2460-2484 (2023) - [i18]Carsten Carstensen, Neela Nataraj, Gopikrishnan Chirappurathu Remesan, Devika Shylaja:
Unified a priori analysis of four second-order FEM for fourth-order quadratic semilinear problems. CoRR abs/2305.06171 (2023) - [i17]Carsten Carstensen, Benedikt Gräßle, Neela Nataraj:
A posteriori error control for fourth-order semilinear problems with quadratic nonlinearity. CoRR abs/2309.08427 (2023) - [i16]Carsten Carstensen, Benedikt Gräßle, Neela Nataraj:
Unifying a posteriori error analysis of five piecewise quadratic discretisations for the biharmonic equation. CoRR abs/2310.05648 (2023) - 2022
- [j139]Carsten Carstensen, Stefan A. Sauter:
Critical functions and inf-sup stability of Crouzeix-Raviart elements. Comput. Math. Appl. 108: 12-23 (2022) - [j138]Carsten Carstensen, Stefan A. Sauter:
Crouzeix-Raviart triangular elements are inf-sup stable. Math. Comput. 91(337): 2041-2057 (2022) - [j137]Carsten Carstensen, Neela Nataraj, Amiya Kumar Pani:
Stability of mixed FEMs for non-selfadjoint indefinite second-order linear elliptic PDEs. Numerische Mathematik 150(4): 975-992 (2022) - [j136]Carsten Carstensen, Ngoc Tien Tran:
Convergent adaptive hybrid higher-order schemes for convex minimization. Numerische Mathematik 151(2): 329-367 (2022) - [j135]Carsten Carstensen, Rekha Khot, Amiya Kumar Pani:
A priori and a posteriori error analysis of the lowest-order NCVEM for second-order linear indefinite elliptic problems. Numerische Mathematik 151(3): 551-600 (2022) - [i15]Carsten Carstensen, Sophie Puttkammer:
Adaptive guaranteed lower eigenvalue bounds with optimal convergence rates. CoRR abs/2203.01028 (2022) - [i14]Carsten Carstensen, Neela Nataraj, Amiya Kumar Pani:
Stability of mixed FEMs for non-selfadjoint indefinite second-order linear elliptic PDEs. CoRR abs/2203.02716 (2022) - [i13]Carsten Carstensen, Rekha Khot, Amiya Kumar Pani:
Nonconforming virtual elements for the biharmonic equation with Morley degrees of freedom on polygonal meshes. CoRR abs/2205.08764 (2022) - [i12]Fleurianne Bertrand, Carsten Carstensen, Benedikt Gräßle, Ngoc Tien Tran:
Stabilization-free HHO a posteriori error control. CoRR abs/2207.01038 (2022) - [i11]Philipp Bringmann, Carsten Carstensen, Julian Streitberger:
Parameter-free implementation of the quadratic C0 interior penalty method for the biharmonic equation. CoRR abs/2209.05221 (2022) - 2021
- [j134]Carsten Carstensen, Rui Ma:
Collective marking for arbitrary order adaptive least-squares finite element methods with optimal rates. Comput. Math. Appl. 95: 271-281 (2021) - [j133]Carsten Carstensen, Neela Nataraj:
A Priori and a Posteriori Error Analysis of the Crouzeix-Raviart and Morley FEM with Original and Modified Right-Hand Sides. Comput. Methods Appl. Math. 21(2): 289-315 (2021) - [j132]Carsten Carstensen, Jun Hu:
Hierarchical Argyris Finite Element Method for Adaptive and Multigrid Algorithms. Comput. Methods Appl. Math. 21(3): 529-556 (2021) - [j131]Carsten Carstensen, Alexandre Ern, Sophie Puttkammer:
Guaranteed lower bounds on eigenvalues of elliptic operators with a hybrid high-order method. Numerische Mathematik 149(2): 273-304 (2021) - [j130]Carsten Carstensen, Neela Nataraj:
Adaptive Morley FEM for the von Kármán Equations with Optimal Convergence Rates. SIAM J. Numer. Anal. 59(2): 696-719 (2021) - [j129]Carsten Carstensen, Rui Ma:
Adaptive Mixed Finite Element Methods for Non-self-adjoint Indefinite Second-Order Elliptic PDEs with Optimal Rates. SIAM J. Numer. Anal. 59(2): 955-982 (2021) - [j128]Carsten Carstensen, Ngoc Tien Tran:
Unstabilized Hybrid High-order Method for a Class of Degenerate Convex Minimization Problems. SIAM J. Numer. Anal. 59(3): 1348-1373 (2021) - [i10]Carsten Carstensen, Rekha Khot, Amiya Kumar Pani:
A priori and a posteriori error analysis of the lowest-order NCVEM for second-order linear indefinite elliptic problems. CoRR abs/2101.08472 (2021) - [i9]Carsten Carstensen, Neela Nataraj:
A priori and a posteriori error analysis of the Crouzeix-Raviart and Morley FEM with original and modified righthand sides. CoRR abs/2102.08117 (2021) - [i8]Carsten Carstensen, Neela Nataraj:
Lower-order equivalent nonstandard finite element methods for biharmonic plates. CoRR abs/2102.08125 (2021) - [i7]Carsten Carstensen, Sophie Puttkammer:
Direct guaranteed lower eigenvalue bounds with optimal a priori convergence rates for the bi-Laplacian. CoRR abs/2105.01505 (2021) - [i6]Carsten Carstensen, Stefan A. Sauter:
Critical Functions and Inf-Sup Stability of Crouzeix-Raviart Elements. CoRR abs/2105.14981 (2021) - [i5]Carsten Carstensen, Stefan A. Sauter:
Crouzeix-Raviart triangular elements are inf-sup stable. CoRR abs/2105.14987 (2021) - [i4]Carsten Carstensen, Ngoc Tien Tran:
Convergent adaptive hybrid higher-order schemes for convex minimization. CoRR abs/2111.01181 (2021) - 2020
- [j127]Carsten Carstensen:
Collective marking for adaptive least-squares finite element methods with optimal rates. Math. Comput. 89(321): 89-103 (2020) - [j126]Carsten Carstensen, Qilong Zhai, Ran Zhang:
A Skeletal Finite Element Method Can Compute Lower Eigenvalue Bounds. SIAM J. Numer. Anal. 58(1): 109-124 (2020) - [i3]Carsten Carstensen, Sharat Gaddam, Neela Nataraj, Amiya Kumar Pani, Devika Shylaja:
Morley Finite Element Method for the von Kármán Obstacle Problem. CoRR abs/2009.03205 (2020) - [i2]Carsten Carstensen, Ngoc Tien Tran:
Unstabilized Hybrid High-Order method for a class of degenerate convex minimization problems. CoRR abs/2011.15059 (2020)
2010 – 2019
- 2019
- [j125]Carsten Carstensen, Asha K. Dond, Hella Rabus:
Quasi-Optimality of Adaptive Mixed FEMs for Non-selfadjoint Indefinite Second-Order Linear Elliptic Problems. Comput. Methods Appl. Math. 19(2): 233-250 (2019) - [j124]Carsten Carstensen, Dongjie Liu, Jochen Alberty:
Convergence of \(\text{ dG(1) }\) in elastoplastic evolution. Numerische Mathematik 141(3): 715-742 (2019) - [j123]Carsten Carstensen, Dietmar Gallistl, Joscha Gedicke:
Residual-based a posteriori error analysis for symmetric mixed Arnold-Winther FEM. Numerische Mathematik 142(2): 205-234 (2019) - [i1]Carsten Carstensen, Neela Nataraj:
Adaptive Morley FEM for the von Kármán equations with optimal convergence rates. CoRR abs/1908.08013 (2019) - 2018
- [j122]Carsten Carstensen, Friederike Hellwig:
Constants in Discrete Poincaré and Friedrichs Inequalities and Discrete Quasi-Interpolation. Comput. Methods Appl. Math. 18(3): 433-450 (2018) - [j121]Carsten Carstensen, Philipp Bringmann, Friederike Hellwig, Peter Wriggers:
Nonlinear discontinuous Petrov-Galerkin methods. Numerische Mathematik 139(3): 529-561 (2018) - [j120]Carsten Carstensen, Sophie Puttkammer:
A low-order discontinuous Petrov-Galerkin method for the Stokes equations. Numerische Mathematik 140(1): 1-34 (2018) - [j119]Philipp Bringmann, Carsten Carstensen, Gerhard Starke:
An Adaptive Least-Squares FEM for Linear Elasticity with Optimal Convergence Rates. SIAM J. Numer. Anal. 56(1): 428-447 (2018) - [j118]Carsten Carstensen, Friederike Hellwig:
Optimal Convergence Rates for Adaptive Lowest-Order Discontinuous Petrov-Galerkin Schemes. SIAM J. Numer. Anal. 56(2): 1091-1111 (2018) - [j117]Carsten Carstensen, Johannes Storn:
Asymptotic Exactness of the Least-Squares Finite Element Residual. SIAM J. Numer. Anal. 56(4): 2008-2028 (2018) - [j116]Carsten Carstensen, Asha K. Dond, Neela Nataraj, Amiya Kumar Pani:
Three First-Order Finite Volume Element Methods for Stokes Equations under Minimal Regularity Assumptions. SIAM J. Numer. Anal. 56(4): 2648-2671 (2018) - 2017
- [j115]Marc I. Gerritsma, Carsten Carstensen, Leszek F. Demkowicz, Jay Gopalakrishnan:
Minimum Residual and Least Squares Finite Element Methods II. Comput. Math. Appl. 74(8): 1922 (2017) - [j114]Philipp Bringmann, Carsten Carstensen:
-adaptive least-squares finite element methods for the 2D Stokes equations of any order with optimal convergence rates. Comput. Math. Appl. 74(8): 1923-1939 (2017) - [j113]Philipp Bringmann, Carsten Carstensen:
An adaptive least-squares FEM for the Stokes equations with optimal convergence rates. Numerische Mathematik 135(2): 459-492 (2017) - [j112]Carsten Carstensen, Eun-Jae Park, Philipp Bringmann:
Convergence of natural adaptive least squares finite element methods. Numerische Mathematik 136(4): 1097-1115 (2017) - [j111]Carsten Carstensen, Karoline Köhler:
Efficient Discrete Lagrange Multipliers in three first-order finite element discretizations for the A Posteriori Error Control in an Obstacle Problem. SIAM J. Numer. Anal. 55(1): 349-375 (2017) - [j110]Carsten Carstensen, Hella Rabus:
Axioms of Adaptivity with Separate Marking for Data Resolution. SIAM J. Numer. Anal. 55(6): 2644-2665 (2017) - 2016
- [j109]Carsten Carstensen, Leszek F. Demkowicz, Jay Gopalakrishnan:
Breaking spaces and forms for the DPG method and applications including Maxwell equations. Comput. Math. Appl. 72(3): 494-522 (2016) - [j108]Carsten Carstensen, Martin Eigel:
Reliable Averaging for the Primal Variable in the Courant FEM and Hierarchical Error Estimators on Red-Refined Meshes. Comput. Methods Appl. Math. 16(2): 213-230 (2016) - [j107]Carsten Carstensen, Andreas Schröder, Sebastian Wiedemann:
An optimal adaptive finite element method for elastoplasticity. Numerische Mathematik 132(1): 131-154 (2016) - [j106]Carsten Carstensen, Daniel Peterseim, Andreas Schröder:
The norm of a discretized gradient in \(\varvec{H({{\mathrm{div}}})^*}\) for a posteriori finite element error analysis. Numerische Mathematik 132(3): 519-539 (2016) - [j105]Carsten Carstensen, B. Daya Reddy, Mira Schedensack:
A natural nonconforming FEM for the Bingham flow problem is quasi-optimal. Numerische Mathematik 133(1): 37-66 (2016) - [j104]Carsten Carstensen, Asha K. Dond, Neela Nataraj, Amiya Kumar Pani:
Error analysis of nonconforming and mixed FEMs for second-order linear non-selfadjoint and indefinite elliptic problems. Numerische Mathematik 133(3): 557-597 (2016) - [j103]Carsten Carstensen, Dietmar Gallistl, Joscha Gedicke:
Justification of the saturation assumption. Numerische Mathematik 134(1): 1-25 (2016) - [j102]Carsten Carstensen, Friederike Hellwig:
Low-Order Discontinuous Petrov-Galerkin Finite Element Methods for Linear Elasticity. SIAM J. Numer. Anal. 54(6): 3388-3410 (2016) - 2015
- [j101]Carsten Carstensen, Jun Hu:
An Optimal Adaptive Finite Element Method for an Obstacle Problem. Comput. Methods Appl. Math. 15(3): 259-277 (2015) - [j100]Paulo Rafael Bösing, Carsten Carstensen:
Discontinuous Galerkin with Weakly Over-Penalized Techniques for Reissner-Mindlin Plates. J. Sci. Comput. 64(2): 401-424 (2015) - [j99]Carsten Carstensen, Dietmar Gallistl, Mira Schedensack:
Adaptive nonconforming Crouzeix-Raviart FEM for eigenvalue problems. Math. Comput. 84(293): 1061-1087 (2015) - [j98]Carsten Carstensen, Georg Dolzmann:
Convergence of adaptive finite element methods for a nonconvex double-well minimization problem. Math. Comput. 84(295): 2111-2135 (2015) - [j97]Paulo Rafael Bösing, Carsten Carstensen:
Weakly over-penalized discontinuous Galerkin schemes for Reissner-Mindlin plates without the shear variable. Numerische Mathematik 130(3): 395-423 (2015) - [j96]Carsten Carstensen, Eun-Jae Park:
Convergence and Optimality of Adaptive Least Squares Finite Element Methods. SIAM J. Numer. Anal. 53(1): 43-62 (2015) - [j95]Carsten Carstensen, Dongjie Liu:
Nonconforming FEMs for an Optimal Design Problem. SIAM J. Numer. Anal. 53(2): 874-894 (2015) - 2014
- [j94]Wolfgang Boiger, Carsten Carstensen:
A posteriori error analysis of stabilised FEM for degenerate convex minimisation problems under weak regularity assumptions. Adv. Model. Simul. Eng. Sci. 1(1): 5:1-5:23 (2014) - [j93]Carsten Carstensen, Michael Feischl, Marcus Page, Dirk Praetorius:
Axioms of adaptivity. Comput. Math. Appl. 67(6): 1195-1253 (2014) - [j92]Carsten Carstensen, Dietmar Gallistl, Friederike Hellwig, Lucy Weggler:
Low-order dPG-FEM for an elliptic PDE. Comput. Math. Appl. 68(11): 1503-1512 (2014) - [j91]Carsten Carstensen, Dietmar Gallistl, Jun Hu:
A discrete Helmholtz decomposition with Morley finite element functions and the optimality of adaptive finite element schemes. Comput. Math. Appl. 68(12): 2167-2181 (2014) - [j90]Carsten Carstensen, Christian Merdon:
Computational Survey on A Posteriori Error Estimators for the Crouzeix-Raviart Nonconforming Finite Element Method for the Stokes Problem. Comput. Methods Appl. Math. 14(1): 35-54 (2014) - [j89]Carsten Carstensen, Joscha Gedicke:
Guaranteed lower bounds for eigenvalues. Math. Comput. 83(290): 2605-2629 (2014) - [j88]Carsten Carstensen, Dietmar Gallistl:
Guaranteed lower eigenvalue bounds for the biharmonic equation. Numerische Mathematik 126(1): 33-51 (2014) - [j87]Carsten Carstensen, Joscha Gedicke, Volker Mehrmann, Agnieszka Miedlar:
An adaptive finite element method with asymptotic saturation for eigenvalue problems. Numerische Mathematik 128(4): 615-634 (2014) - [j86]Carsten Carstensen, Leszek F. Demkowicz, Jayadeep Gopalakrishnan:
A Posteriori Error Control for DPG Methods. SIAM J. Numer. Anal. 52(3): 1335-1353 (2014) - [j85]Carsten Carstensen, Christian Merdon:
Refined Fully Explicit a Posteriori Residual-Based Error Control. SIAM J. Numer. Anal. 52(4): 1709-1728 (2014) - 2013
- [j84]Carsten Carstensen, Christian Merdon:
Computational survey on a posteriori error estimators for nonconforming finite element methods for the Poisson problem. J. Comput. Appl. Math. 249: 74-94 (2013) - [j83]Carsten Carstensen, Daniel Peterseim, Hella Rabus:
Optimal adaptive nonconforming FEM for the Stokes problem. Numerische Mathematik 123(2): 291-308 (2013) - [j82]Carsten Carstensen, Christian Merdon:
Effective postprocessing for equilibration a posteriori error estimators. Numerische Mathematik 123(3): 425-459 (2013) - [j81]Daniel Peterseim, Carsten Carstensen:
Finite element network approximation of conductivity in particle composites. Numerische Mathematik 124(1): 73-97 (2013) - [j80]Carsten Carstensen, Dietmar Gallistl, Jun Hu:
A posteriori error estimates for nonconforming finite element methods for fourth-order problems on rectangles. Numerische Mathematik 124(2): 309-335 (2013) - [j79]Carsten Carstensen, Dietmar Gallistl, Mira Schedensack:
Quasi-optimal Adaptive Pseudostress Approximation of the Stokes Equations. SIAM J. Numer. Anal. 51(3): 1715-1734 (2013) - [j78]Carsten Carstensen, Dietmar Gallistl, Mira Schedensack:
Discrete Reliability for Crouzeix-Raviart FEMs. SIAM J. Numer. Anal. 51(5): 2935-2955 (2013) - 2012
- [j77]Carsten Carstensen, Dirk Praetorius:
Stabilisation yields strong convergence of macroscopic magnetisation vectors for micromagnetics without exchange energy. J. Num. Math. 20(2): 81-110 (2012) - [j76]Robert Altmann, Carsten Carstensen:
P1-Nonconforming Finite Elements on Triangulations into Triangles and Quadrilaterals. SIAM J. Numer. Anal. 50(2): 418-438 (2012) - [j75]Carsten Carstensen, David Günther, Hella Rabus:
Mixed Finite Element Method for a Degenerate Convex Variational Problem from Topology Optimization. SIAM J. Numer. Anal. 50(2): 522-543 (2012) - [j74]Carsten Carstensen, Joscha Gedicke:
An Adaptive Finite Element Eigenvalue Solver of Asymptotic Quasi-Optimal Computational Complexity. SIAM J. Numer. Anal. 50(3): 1029-1057 (2012) - [j73]Carsten Carstensen, Hella Rabus:
The Adaptive Nonconforming FEM for the Pure Displacement Problem in Linear Elasticity is Optimal and Robust. SIAM J. Numer. Anal. 50(3): 1264-1283 (2012) - [j72]Carsten Carstensen, Daniel Peterseim, Mira Schedensack:
Comparison Results of Finite Element Methods for the Poisson Model Problem. SIAM J. Numer. Anal. 50(6): 2803-2823 (2012) - [j71]Carsten Carstensen, Joscha Gedicke, Eun-Jae Park:
Numerical Experiments for the Arnold-Winther Mixed Finite Elements for the Stokes Problem. SIAM J. Sci. Comput. 34(4) (2012) - 2011
- [j70]Carsten Carstensen, Hella Rabus:
An optimal adaptive mixed finite element method. Math. Comput. 80(274): 649-667 (2011) - [j69]Carsten Carstensen, Joscha Gedicke:
An oscillation-free adaptive FEM for symmetric eigenvalue problems. Numerische Mathematik 118(3): 401-427 (2011) - [j68]Carsten Carstensen, Joscha Gedicke, Volker Mehrmann, Agnieszka Miedlar:
An adaptive homotopy approach for non-selfadjoint eigenvalue problems. Numerische Mathematik 119(3): 557-583 (2011) - [j67]Carsten Carstensen, Dongho Kim, Eun-Jae Park:
A Priori and A Posteriori Pseudostress-velocity Mixed Finite Element Error Analysis for the Stokes Problem. SIAM J. Numer. Anal. 49(6): 2501-2523 (2011) - 2010
- [j66]Carsten Carstensen, Christoph Ortner:
Analysis of a Class of Penalty Methods for Computing Singular Minimizers. Comput. Methods Appl. Math. 10(2): 137-163 (2010) - [j65]Wolfgang Boiger, Carsten Carstensen:
On the Strong Convergence of Gradients in Stabilized Degenerate Convex Minimization Problems. SIAM J. Numer. Anal. 47(6): 4569-4580 (2010)
2000 – 2009
- 2009
- [j64]Carsten Carstensen, Ronald H. W. Hoppe:
Unified framework for an a posteriori error analysis of non-standard finite element approximations of H(curl)-elliptic problems. J. Num. Math. 17(1): 27-44 (2009) - [j63]Carsten Carstensen, Thirupathi Gudi, Max Jensen:
A unifying theory of a posteriori error control for discontinuous Galerkin FEM. Numerische Mathematik 112(3): 363-379 (2009) - [j62]Jan C. Aurich, Dirk Biermann, Heribert Blum, Christian Brecher, Carsten Carstensen, Berend Denkena, Fritz Klocke, Matthias Kröger, Paul Steinmann, Klaus Weinert:
Modelling and simulation of process: machine interaction in grinding. Prod. Eng. 3(1): 111-120 (2009) - 2008
- [j61]Carsten Carstensen, Jun Hu:
A posteriori error analysis for conforming MITC elements for Reissner-Mindlin plates. Math. Comput. 77(262): 611-632 (2008) - [j60]Sören Bartels, Carsten Carstensen:
A convergent adaptive finite element method for an optimal design problem. Numerische Mathematik 108(3): 359-385 (2008) - 2007
- [j59]Dietrich Braess, Carsten Carstensen, Ronald H. W. Hoppe:
Convergence analysis of a conforming adaptive finite element method for an obstacle problem. Numerische Mathematik 107(3): 455-471 (2007) - [j58]Carsten Carstensen, Jun Hu:
A unifying theory of a posteriori error control for nonconforming finite element methods. Numerische Mathematik 107(3): 473-502 (2007) - [j57]Carsten Carstensen, Jun Hu, Antonio Orlando:
Framework for the A Posteriori Error Analysis of Nonconforming Finite Elements. SIAM J. Numer. Anal. 45(1): 68-82 (2007) - [j56]Carsten Carstensen, Dirk Praetorius:
Averaging Techniques for the A Posteriori BEM Error Control for a Hypersingular Integral Equation in Two Dimensions. SIAM J. Sci. Comput. 29(2): 782-810 (2007) - 2006
- [j55]Carsten Carstensen, R. H. W. Hoppe:
Error reduction and convergence for an adaptive mixed finite element method. Math. Comput. 75(255): 1033-1042 (2006) - [j54]Carsten Carstensen, Wenbin Liu, Ningning Yan:
A posteriori FE error control for p-Laplacian by gradient recovery in quasi-norm. Math. Comput. 75(256): 1599-1616 (2006) - [j53]Carsten Carstensen, Joachim Schöberl:
Residual-based a posteriori error estimate for a mixed Reißner-Mindlin plate finite element method. Numerische Mathematik 103(2): 225-250 (2006) - [j52]Carsten Carstensen, Ronald H. W. Hoppe:
Convergence analysis of an adaptive nonconforming finite element method. Numerische Mathematik 103(2): 251-266 (2006) - [j51]Carsten Carstensen, Wenbin Liu, Ningning Yan:
A Posteriori Error Estimates for Finite Element Approximation of Parabolic p-Laplacian. SIAM J. Numer. Anal. 43(6): 2294-2319 (2006) - [j50]Carsten Carstensen, Dirk Praetorius:
Averaging Techniques for the Effective Numerical Solution of Symm's Integral Equation of the First Kind. SIAM J. Sci. Comput. 27(4): 1226-1260 (2006) - 2005
- [j49]Carsten Carstensen, Ronald H. W. Hoppe:
Convergence analysis of an adaptive edge finite element method for the 2D eddy current equations. J. Num. Math. 13(1): 19-32 (2005) - [j48]Carsten Carstensen:
A unifying theory of a posteriori finite element error control. Numerische Mathematik 100(4): 617-637 (2005) - [j47]Carsten Carstensen, Paola Causin, Riccardo Sacco:
A posteriori dual-mixed adaptive finite element error control for Lamé and Stokes equations. Numerische Mathematik 101(2): 309-332 (2005) - [j46]Carsten Carstensen:
Estimation of Higher Sobolev Norm from Lower Order Approximation. SIAM J. Numer. Anal. 42(5): 2136-2147 (2005) - [j45]Carsten Carstensen, Raytcho D. Lazarov, Stanimire Tomov:
Explicit and Averaging A Posteriori Error Estimates for Adaptive Finite Volume Methods. SIAM J. Numer. Anal. 42(6): 2496-2521 (2005) - [j44]Carsten Carstensen, Dirk Praetorius:
Numerical Analysis for a Macroscopic Model in Micromagnetics. SIAM J. Numer. Anal. 42(6): 2633-2651 (2005) - 2004
- [j43]Carsten Carstensen:
All first-order averaging techniques for a posteriori finite element error control on unstructured grids are efficient and reliable. Math. Comput. 73(247): 1153-1165 (2004) - [j42]Dietrich Braess, Carsten Carstensen, B. Daya Reddy:
Uniform convergence and a posteriori error estimators for the enhanced strain finite element method. Numerische Mathematik 96(3): 461-479 (2004) - [j41]Carsten Carstensen, Stefan A. Sauter:
A posteriori error analysis for elliptic pdes on domains with complicated structures. Numerische Mathematik 96(4): 691-721 (2004) - [j40]Carsten Carstensen, Georg Dolzmann:
An a priori error estimate for finite element discretizations in nonlinear elasticity for polyconvex materials under small loads. Numerische Mathematik 97(1): 67-80 (2004) - [j39]Carsten Carstensen, Matthias Maischak, Dirk Praetorius, Ernst P. Stephan:
Residual-based a posteriori error estimate for hypersingular equation on surfaces. Numerische Mathematik 97(3): 397-425 (2004) - [j38]Sören Bartels, Carsten Carstensen, Georg Dolzmann:
Inhomogeneous Dirichlet conditions in a priori and a posteriori finite element error analysis. Numerische Mathematik 99(1): 1-24 (2004) - [j37]Sören Bartels, Carsten Carstensen:
Averaging techniques yield reliable a posteriori finite element error control for obstacle problems. Numerische Mathematik 99(2): 225-249 (2004) - [j36]Carsten Carstensen, Georg Dolzmann:
Time-Space Discretization of the Nonlinear Hyperbolic System utt = div (\sigma(Du)+ Dut). SIAM J. Numer. Anal. 42(1): 75-89 (2004) - 2003
- [j35]Carsten Carstensen, K. Jochimsen:
Adaptive Finite Element Methods for Microstructures? Numerical Experiments for a 2-Well Benchmark. Computing 71(2): 175-204 (2003) - [j34]Carsten Carstensen, Dirk Praetorius:
A Posteriori Error Control in Adaptive Qualocation Boundary Element Analysis for a Logarithmic-Kernel Integral Equation of the First Kind. SIAM J. Sci. Comput. 25(1): 259-283 (2003) - [j33]Carsten Carstensen, Roland Klose:
A Posteriori Finite Element Error Control for the P-Laplace Problem. SIAM J. Sci. Comput. 25(3): 792-814 (2003) - 2002
- [j32]Jochen Alberty, Carsten Carstensen, Stefan A. Funken, Roland Klose:
Matlab Implementation of the Finite Element Method in Elasticity. Computing 69(3): 239-263 (2002) - [j31]Carsten Carstensen, Roland Klose:
Elastoviscoplastic Finite Element analysis in 100 lines of Matlab. J. Num. Math. 10(3): 157-192 (2002) - [j30]Carsten Carstensen:
Merging the Bramble-Pasciak-Steinbach and the Crouzeix-Thomée criterion for H1-stability of the L2-projection onto finite element spaces. Math. Comput. 71(237): 157-163 (2002) - [j29]Carsten Carstensen, Sören Bartels:
Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part I: Low order conforming, nonconforming, and mixed FEM. Math. Comput. 71(239): 945-969 (2002) - [j28]Sören Bartels, Carsten Carstensen:
Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part II: Higher order FEM. Math. Comput. 71(239): 971-994 (2002) - [j27]Carsten Carstensen, Sören Bartels, Stefan Jansche:
A posteriori error estimates for nonconforming finite element methods. Numerische Mathematik 92(2): 233-256 (2002) - [j26]Carsten Carstensen, Stefan Müller:
Local Stress Regularity in Scalar Nonconvex Variational Problems. SIAM J. Math. Anal. 34(2): 495-509 (2002) - [j25]Carsten Carstensen:
Residual-Based A Posteriori Error Estimate for a Nonconforming Reissner-Mindlin Plate Finite Element. SIAM J. Numer. Anal. 39(6): 2034-2044 (2002) - 2001
- [j24]Carsten Carstensen, Sören Bartels, Roland Klose:
An experimental survey of a posteriori Courant finite element error control for the Poisson equation. Adv. Comput. Math. 15(1-4): 79-106 (2001) - [j23]Carsten Carstensen, Stefan A. Funken:
A posteriori error control in low-order finite element discretisations of incompressible stationary flow problems. Math. Comput. 70(236): 1353-1381 (2001) - [j22]Carsten Carstensen, Andreas Prohl:
Numerical analysis of relaxed micromagnetics by penalised finite elements. Numerische Mathematik 90(1): 65-99 (2001) - [j21]Carsten Carstensen, Matthias Maischak, Ernst P. Stephan:
A posteriori error estimate and h-adaptive algorithm on surfaces for Symm's integral equation. Numerische Mathematik 90(2): 197-213 (2001) - 2000
- [j20]Carsten Carstensen, Tomás Roubícek:
Numerical approximation of young measuresin non-convex variational problems. Numerische Mathematik 84(3): 395-415 (2000) - [j19]Jochen Alberty, Carsten Carstensen:
Numerical Analysis of Time-Depending PrimalElastoplasticity with Hardening. SIAM J. Numer. Anal. 37(4): 1271-1294 (2000) - [j18]Carsten Carstensen, Petr Plechác:
Numerical Analysis of Compatible Phase Transitions in Elastic Solids. SIAM J. Numer. Anal. 37(6): 2061-2081 (2000)
1990 – 1999
- 1999
- [j17]Carsten Carstensen, Stefan A. Funken:
Coupling of Nonconforming Finite Elements and Boundary Elements I: A Priori Estimates. Computing 62(3): 229-241 (1999) - [j16]Carsten Carstensen, Stefan A. Funken:
Coupling of Nonconforming Finite Elements and Boundary Elements II: A Posteriori Estimates and Adaptive Mesh-Refinement. Computing 62(3): 243-259 (1999) - [j15]Jochen Alberty, Carsten Carstensen, Stefan A. Funken:
Remarks around 50 lines of Matlab: short finite element implementation. Numer. Algorithms 20(2-3): 117-137 (1999) - [j14]Carsten Carstensen:
Numerical analysis of the primal problem of elastoplasticity with hardening. Numerische Mathematik 82(4): 577-597 (1999) - [j13]Carsten Carstensen, Oliver Scherf, Peter Wriggers:
Adaptive Finite Elements for Elastic Bodies in Contact. SIAM J. Sci. Comput. 20(5): 1605-1626 (1999) - [j12]Carsten Carstensen, Stefan A. Funken:
Fully Reliable Localized Error Control in the FEM. SIAM J. Sci. Comput. 21(4): 1465-1484 (1999) - 1998
- [j11]Carsten Carstensen, Georg Dolzmann:
A posteriori error estimates for mixed FEM in elasticity. Numerische Mathematik 81(2): 187-209 (1998) - 1997
- [j10]Carsten Carstensen:
An a posteriori error estimate for a first-kind integral equation. Math. Comput. 66(217): 139-155 (1997) - [j9]Carsten Carstensen:
A posteriori error estimate for the mixed finite element method. Math. Comput. 66(218): 465-476 (1997) - [j8]Carsten Carstensen, Petr Plechác:
Numerical solution of the scalar double-well problem allowing microstructure. Math. Comput. 66(219): 997-1026 (1997) - [j7]Carsten Carstensen:
Domain decomposition for a non-smooth convex minimization problem and its application to plasticity. Numer. Linear Algebra Appl. 4(3): 177-190 (1997) - 1996
- [j6]Carsten Carstensen:
A Posteriori Error Estimate for the Symmetric Coupling of Finite Elements and Boundary Elements. Computing 57(4): 301-322 (1996) - [j5]Carsten Carstensen:
Efficiency of a posteriori BEM-error estimates for first-kind integral equations on quasi-uniform meshes. Math. Comput. 65(213): 69-84 (1996) - 1995
- [j4]Carsten Carstensen, Günter W. Mühlbach, G. Schmidt:
De Casteljau's algorithm is an extrapolation method. Comput. Aided Geom. Des. 12(4): 371-380 (1995) - 1993
- [j3]Carsten Carstensen, Miodrag S. Petkovic:
On some interval methods for algebraic, exponential and trigonometric polynomials. Computing 51(3-4): 313-326 (1993) - 1992
- [j2]Bernhard Beckermann, Carsten Carstensen:
A reliable modification of the cross rule for rational Hermite interpolation. Numer. Algorithms 3(1): 29-44 (1992) - [j1]Carsten Carstensen, Günter W. Mühlbach:
The Neville-Aitken formula for rational interpolants with prescribed poles. Numer. Algorithms 3(1): 133-141 (1992)
Coauthor Index
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