Carsten Carstensen

Publication Activity (10 Years)

Years Active: 1992-2024
Publications (10 Years): 68

Top Venues

Numerische Mathematik

CoRR

SIAM J. Numer. Anal.

Comput. Math. Appl.

Publications

Carsten Carstensen, Sophie Puttkammer
Adaptive guaranteed lower eigenvalue bounds with optimal convergence rates. Numerische Mathematik 156 (1) (2024)
Carsten Carstensen, Benedikt Gräßle, Neela Nataraj
Unifying a posteriori error analysis of five piecewise quadratic discretisations for the biharmonic equation. CoRR (2023)
Fleurianne Bertrand, Carsten Carstensen, Benedikt Gräßle, Ngoc Tien Tran
Stabilization-free HHO a posteriori error control. Numerische Mathematik 154 (3-4) (2023)
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) (2023)
Carsten Carstensen, Mira Schedensack
Two discretisations of the time-dependent Bingham problem. Numerische Mathematik 153 (2) (2023)
Carsten Carstensen, Benedikt Gräßle, Neela Nataraj
A posteriori error control for fourth-order semilinear problems with quadratic nonlinearity. CoRR (2023)
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) (2023)
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 (2023)
Fleurianne Bertrand, Carsten Carstensen, Benedikt Gräßle, Ngoc Tien Tran
Stabilization-free HHO a posteriori error control. CoRR (2022)
Carsten Carstensen, Rekha Khot, Amiya Kumar Pani
Nonconforming virtual elements for the biharmonic equation with Morley degrees of freedom on polygonal meshes. CoRR (2022)
Philipp Bringmann, Carsten Carstensen, Julian Streitberger
interior penalty method for the biharmonic equation. CoRR (2022)
Carsten Carstensen, Sophie Puttkammer
Adaptive guaranteed lower eigenvalue bounds with optimal convergence rates. CoRR (2022)
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) (2022)
Carsten Carstensen, Stefan A. Sauter
Crouzeix-Raviart triangular elements are inf-sup stable. Math. Comput. 91 (337) (2022)
Carsten Carstensen, Stefan A. Sauter
Critical functions and inf-sup stability of Crouzeix-Raviart elements. Comput. Math. Appl. 108 (2022)
Carsten Carstensen, Neela Nataraj, Amiya Kumar Pani
Stability of mixed FEMs for non-selfadjoint indefinite second-order linear elliptic PDEs. Numerische Mathematik 150 (4) (2022)
Carsten Carstensen, Neela Nataraj, Amiya Kumar Pani
Stability of mixed FEMs for non-selfadjoint indefinite second-order linear elliptic PDEs. CoRR (2022)
Carsten Carstensen, Ngoc Tien Tran
Convergent adaptive hybrid higher-order schemes for convex minimization. Numerische Mathematik 151 (2) (2022)
Carsten Carstensen, Alexandre Ern, Sophie Puttkammer
Guaranteed lower bounds on eigenvalues of elliptic operators with a hybrid high-order method. Numerische Mathematik 149 (2) (2021)
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 (2021)
Carsten Carstensen, Neela Nataraj
Lower-order equivalent nonstandard finite element methods for biharmonic plates. CoRR (2021)
Carsten Carstensen, Rui Ma
Collective marking for arbitrary order adaptive least-squares finite element methods with optimal rates. Comput. Math. Appl. 95 (2021)
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) (2021)
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) (2021)
Carsten Carstensen, Neela Nataraj
Adaptive Morley FEM for the von Kármán Equations with Optimal Convergence Rates. SIAM J. Numer. Anal. 59 (2) (2021)
Carsten Carstensen, Jun Hu
Hierarchical Argyris Finite Element Method for Adaptive and Multigrid Algorithms. Comput. Methods Appl. Math. 21 (3) (2021)
Carsten Carstensen, S. Sauter
Crouzeix-Raviart triangular elements are inf-sup stable. CoRR (2021)
Carsten Carstensen, S. Sauter
Critical Functions and Inf-Sup Stability of Crouzeix-Raviart Elements. CoRR (2021)
Carsten Carstensen, Tien Tran
Unstabilized Hybrid High-order Method for a Class of Degenerate Convex Minimization Problems. SIAM J. Numer. Anal. 59 (3) (2021)
Carsten Carstensen, Ngoc Tien Tran
Convergent adaptive hybrid higher-order schemes for convex minimization. CoRR (2021)
Carsten Carstensen, Sophie Puttkammer
Direct guaranteed lower eigenvalue bounds with optimal a priori convergence rates for the bi-Laplacian. CoRR (2021)
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 (2021)
Carsten Carstensen, Sharat Gaddam, Neela Nataraj, Amiya Kumar Pani, Devika Shylaja
Morley Finite Element Method for the von Kármán Obstacle Problem. CoRR (2020)
Carsten Carstensen, Qilong Zhai, Ran Zhang
A Skeletal Finite Element Method Can Compute Lower Eigenvalue Bounds. SIAM J. Numer. Anal. 58 (1) (2020)
Carsten Carstensen, Ngoc Tien Tran
Unstabilized Hybrid High-Order method for a class of degenerate convex minimization problems. CoRR (2020)
Carsten Carstensen
Collective marking for adaptive least-squares finite element methods with optimal rates. Math. Comput. 89 (321) (2020)
Carsten Carstensen, Dongjie Liu, Jochen Alberty
Convergence of \(\text{ dG(1) }\) in elastoplastic evolution. Numerische Mathematik 141 (3) (2019)
Carsten Carstensen, Dietmar Gallistl, Joscha Gedicke
Residual-based a posteriori error analysis for symmetric mixed Arnold-Winther FEM. Numerische Mathematik 142 (2) (2019)
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) (2019)
Carsten Carstensen, Neela Nataraj
Adaptive Morley FEM for the von Kármán equations with optimal convergence rates. CoRR (2019)
Carsten Carstensen, Friederike Hellwig
Constants in Discrete Poincaré and Friedrichs Inequalities and Discrete Quasi-Interpolation. Comput. Methods Appl. Math. 18 (3) (2018)
Carsten Carstensen, Johannes Storn
Asymptotic Exactness of the Least-Squares Finite Element Residual. SIAM J. Numer. Anal. 56 (4) (2018)
Philipp Bringmann, Carsten Carstensen, Gerhard Starke
An Adaptive Least-Squares FEM for Linear Elasticity with Optimal Convergence Rates. SIAM J. Numer. Anal. 56 (1) (2018)
Carsten Carstensen, Sophie Puttkammer
A low-order discontinuous Petrov-Galerkin method for the Stokes equations. Numerische Mathematik 140 (1) (2018)
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) (2018)
Carsten Carstensen, Friederike Hellwig
Optimal Convergence Rates for Adaptive Lowest-Order Discontinuous Petrov-Galerkin Schemes. SIAM J. Numer. Anal. 56 (2) (2018)
Carsten Carstensen, Philipp Bringmann, Friederike Hellwig, Peter Wriggers
Nonlinear discontinuous Petrov-Galerkin methods. Numerische Mathematik 139 (3) (2018)
Carsten Carstensen, Hella Rabus
Axioms of Adaptivity with Separate Marking for Data Resolution. SIAM J. Numer. Anal. 55 (6) (2017)
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) (2017)
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) (2017)
Carsten Carstensen, Eun-Jae Park, Philipp Bringmann
Convergence of natural adaptive least squares finite element methods. Numerische Mathematik 136 (4) (2017)
Marc I. Gerritsma, Carsten Carstensen, Leszek F. Demkowicz, Jay Gopalakrishnan
Minimum Residual and Least Squares Finite Element Methods II. Comput. Math. Appl. 74 (8) (2017)
Philipp Bringmann, Carsten Carstensen
An adaptive least-squares FEM for the Stokes equations with optimal convergence rates. Numerische Mathematik 135 (2) (2017)
Carsten Carstensen, Dietmar Gallistl, Joscha Gedicke
Justification of the saturation assumption. Numerische Mathematik 134 (1) (2016)
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) (2016)
Carsten Carstensen, Friederike Hellwig
Low-Order Discontinuous Petrov-Galerkin Finite Element Methods for Linear Elasticity. SIAM J. Numer. Anal. 54 (6) (2016)
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) (2016)
Carsten Carstensen, Andreas Schröder, Sebastian Wiedemann
An optimal adaptive finite element method for elastoplasticity. Numerische Mathematik 132 (1) (2016)
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) (2016)
Carsten Carstensen, B. Daya Reddy, Mira Schedensack
A natural nonconforming FEM for the Bingham flow problem is quasi-optimal. Numerische Mathematik 133 (1) (2016)
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) (2016)
Paulo Rafael Bösing, Carsten Carstensen
Discontinuous Galerkin with Weakly Over-Penalized Techniques for Reissner-Mindlin Plates. J. Sci. Comput. 64 (2) (2015)
Paulo Rafael Bösing, Carsten Carstensen
Weakly over-penalized discontinuous Galerkin schemes for Reissner-Mindlin plates without the shear variable. Numerische Mathematik 130 (3) (2015)
Carsten Carstensen, D. J. Liu
Nonconforming FEMs for an Optimal Design Problem. SIAM J. Numer. Anal. 53 (2) (2015)
Carsten Carstensen, Georg Dolzmann
Convergence of adaptive finite element methods for a nonconvex double-well minimization problem. Math. Comput. 84 (295) (2015)
Carsten Carstensen, Eun-Jae Park
Convergence and Optimality of Adaptive Least Squares Finite Element Methods. SIAM J. Numer. Anal. 53 (1) (2015)
Carsten Carstensen, Dietmar Gallistl, Mira Schedensack
Adaptive nonconforming Crouzeix-Raviart FEM for eigenvalue problems. Math. Comput. 84 (293) (2015)
Carsten Carstensen, Jun Hu
An Optimal Adaptive Finite Element Method for an Obstacle Problem. Comput. Methods Appl. Math. 15 (3) (2015)
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) (2014)
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) (2014)
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) (2014)
Carsten Carstensen, Dietmar Gallistl, Friederike Hellwig, Lucy Weggler
Low-order dPG-FEM for an elliptic PDE. Comput. Math. Appl. 68 (11) (2014)
Carsten Carstensen, Michael Feischl, Marcus Page, Dirk Praetorius
Axioms of adaptivity. Comput. Math. Appl. 67 (6) (2014)
Carsten Carstensen, Leszek F. Demkowicz, Jayadeep Gopalakrishnan
A Posteriori Error Control for DPG Methods. SIAM J. Numer. Anal. 52 (3) (2014)
Carsten Carstensen, Joscha Gedicke
Guaranteed lower bounds for eigenvalues. Math. Comput. 83 (290) (2014)
Carsten Carstensen, Dietmar Gallistl
Guaranteed lower eigenvalue bounds for the biharmonic equation. Numerische Mathematik 126 (1) (2014)
Carsten Carstensen, Joscha Gedicke, Volker Mehrmann, Agnieszka Miedlar
An adaptive finite element method with asymptotic saturation for eigenvalue problems. Numerische Mathematik 128 (4) (2014)
Carsten Carstensen, Christian Merdon
Refined Fully Explicit a Posteriori Residual-Based Error Control. SIAM J. Numer. Anal. 52 (4) (2014)
Carsten Carstensen, Christian Merdon
Effective postprocessing for equilibration a posteriori error estimators. Numerische Mathematik 123 (3) (2013)
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) (2013)
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 (2013)
Carsten Carstensen, Dietmar Gallistl, Mira Schedensack
Discrete Reliability for Crouzeix-Raviart FEMs. SIAM J. Numer. Anal. 51 (5) (2013)
Carsten Carstensen, Daniel Peterseim, Hella Rabus
Optimal adaptive nonconforming FEM for the Stokes problem. Numerische Mathematik 123 (2) (2013)
Daniel Peterseim, Carsten Carstensen
Finite element network approximation of conductivity in particle composites. Numerische Mathematik 124 (1) (2013)
Carsten Carstensen, Dietmar Gallistl, Mira Schedensack
Quasi-optimal Adaptive Pseudostress Approximation of the Stokes Equations. SIAM J. Numer. Anal. 51 (3) (2013)
Carsten Carstensen, Dirk Praetorius
Stabilisation yields strong convergence of macroscopic magnetisation vectors for micromagnetics without exchange energy. J. Num. Math. 20 (2) (2012)
Carsten Carstensen, Joscha Gedicke
An Adaptive Finite Element Eigenvalue Solver of Asymptotic Quasi-Optimal Computational Complexity. SIAM J. Numer. Anal. 50 (3) (2012)
Carsten Carstensen, Daniel Peterseim, Mira Schedensack
Comparison Results of Finite Element Methods for the Poisson Model Problem. SIAM J. Numer. Anal. 50 (6) (2012)
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) (2012)
Robert Altmann, Carsten Carstensen
-Nonconforming Finite Elements on Triangulations into Triangles and Quadrilaterals. SIAM J. Numer. Anal. 50 (2) (2012)
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)
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) (2012)
Carsten Carstensen, Joscha Gedicke
An oscillation-free adaptive FEM for symmetric eigenvalue problems. Numerische Mathematik 118 (3) (2011)
Carsten Carstensen, Joscha Gedicke, Volker Mehrmann, Agnieszka Miedlar
An adaptive homotopy approach for non-selfadjoint eigenvalue problems. Numerische Mathematik 119 (3) (2011)
Carsten Carstensen, Hella Rabus
An optimal adaptive mixed finite element method. Math. Comput. 80 (274) (2011)
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) (2011)
Carsten Carstensen, Christoph Ortner
Analysis of a Class of Penalty Methods for Computing Singular Minimizers. Comput. Methods Appl. Math. 10 (2) (2010)
Wolfgang Boiger, Carsten Carstensen
On the Strong Convergence of Gradients in Stabilized Degenerate Convex Minimization Problems. SIAM J. Numer. Anal. 47 (6) (2010)
Carsten Carstensen, Ronald H. W. Hoppe
error analysis of non-standard finite element approximations of H(curl)-elliptic problems. J. Num. Math. 17 (1) (2009)
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) (2009)

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Publication Activity (10 Years)

Top Topics

Top Venues

Carsten Carstensen