A reliable modification of the cross rule for rational Hermite interpolation. - Bernhard Beckermann; Carsten Carstensen (Numer. Algorithms, 1992)

The Neville-Aitken formula for rational interpolants with prescribed poles. - Carsten Carstensen; Günter W. Mühlbach (Numer. Algorithms, 1992)

On some interval methods for algebraic, exponential and trigonometric polynomials. - Carsten Carstensen; Miodrag S. Petkovic (Computing, 1993)

De Casteljau's algorithm is an extrapolation method. - Carsten Carstensen; Günter W. Mühlbach; G. Schmidt (Comput. Aided Geom. Des., 1995)

A Posteriori Error Estimate for the Symmetric Coupling of Finite Elements and Boundary Elements. - Carsten Carstensen (Computing, 1996)

Efficiency of a posteriori BEM-error estimates for first-kind integral equations on quasi-uniform meshes. - Carsten Carstensen (Math. Comput., 1996)

An a posteriori error estimate for a first-kind integral equation. - Carsten Carstensen (Math. Comput., 1997)

A posteriori error estimate for the mixed finite element method. - Carsten Carstensen (Math. Comput., 1997)

Numerical solution of the scalar double-well problem allowing microstructure. - Carsten Carstensen; Petr Plechác (Math. Comput., 1997)

Domain decomposition for a non-smooth convex minimization problem and its application to plasticity. - Carsten Carstensen (Numer. Linear Algebra Appl., 1997)

A posteriori error estimates for mixed FEM in elasticity. - Carsten Carstensen; Georg Dolzmann (Numerische Mathematik, 1998)

Coupling of Nonconforming Finite Elements and Boundary Elements I: A Priori Estimates. - Carsten Carstensen; Stefan A. Funken (Computing, 1999)

Coupling of Nonconforming Finite Elements and Boundary Elements II: A Posteriori Estimates and Adaptive Mesh-Refinement. - Carsten Carstensen; Stefan A. Funken (Computing, 1999)

Remarks around 50 lines of Matlab: short finite element implementation. - Jochen Alberty; Carsten Carstensen; Stefan A. Funken (Numer. Algorithms, 1999)

Numerical analysis of the primal problem of elastoplasticity with hardening. - Carsten Carstensen (Numerische Mathematik, 1999)

Fully Reliable Localized Error Control in the FEM. - Carsten Carstensen; Stefan A. Funken (SIAM J. Sci. Comput., 1999)

Adaptive Finite Elements for Elastic Bodies in Contact. - Carsten Carstensen; Oliver Scherf; Peter Wriggers (SIAM J. Sci. Comput., 1999)

Numerical approximation of young measuresin non-convex variational problems. - Carsten Carstensen; Tomás Roubícek (Numerische Mathematik, 2000)

Numerical Analysis of Time-Depending PrimalElastoplasticity with Hardening. - Jochen Alberty; Carsten Carstensen (SIAM J. Numer. Anal., 2000)

Numerical Analysis of Compatible Phase Transitions in Elastic Solids. - Carsten Carstensen; Petr Plechác (SIAM J. Numer. Anal., 2000)

An experimental survey of a posteriori Courant finite element error control for the Poisson equation. - Carsten Carstensen; Sören Bartels; Roland Klose (Adv. Comput. Math., 2001)

A posteriori error control in low-order finite element discretisations of incompressible stationary flow problems. - Carsten Carstensen; Stefan A. Funken (Math. Comput., 2001)

A posteriori error estimate and h-adaptive algorithm on surfaces for Symm's integral equation. - Carsten Carstensen; Matthias Maischak; Ernst P. Stephan (Numerische Mathematik, 2001)

Numerical analysis of relaxed micromagnetics by penalised finite elements. - Carsten Carstensen; Andreas Prohl (Numerische Mathematik, 2001)

Matlab Implementation of the Finite Element Method in Elasticity. - Jochen Alberty; Carsten Carstensen; Stefan A. Funken; Roland Klose (Computing, 2002)

Elastoviscoplastic Finite Element analysis in 100 lines of Matlab. - Carsten Carstensen; Roland Klose (J. Num. Math., 2002)

Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part II: Higher order FEM. - Sören Bartels; Carsten Carstensen (Math. Comput., 2002)

Merging the Bramble-Pasciak-Steinbach and the Crouzeix-Thomée criterion for H1-stability of the L2-projection onto finite element spaces. - Carsten Carstensen (Math. Comput., 2002)

Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part I: Low order conforming, nonconforming, and mixed FEM. - Carsten Carstensen; Sören Bartels (Math. Comput., 2002)

A posteriori error estimates for nonconforming finite element methods. - Carsten Carstensen; Sören Bartels; Stefan Jansche (Numerische Mathematik, 2002)

Local Stress Regularity in Scalar Nonconvex Variational Problems. - Carsten Carstensen; Stefan Müller (SIAM J. Math. Anal., 2002)

Residual-Based A Posteriori Error Estimate for a Nonconforming Reissner-Mindlin Plate Finite Element. - Carsten Carstensen (SIAM J. Numer. Anal., 2002)

Adaptive Finite Element Methods for Microstructures? Numerical Experiments for a 2-Well Benchmark. - Carsten Carstensen; K. Jochimsen (Computing, 2003)

A Posteriori Finite Element Error Control for the P-Laplace Problem. - Carsten Carstensen; Roland Klose (SIAM J. Sci. Comput., 2003)

A Posteriori Error Control in Adaptive Qualocation Boundary Element Analysis for a Logarithmic-Kernel Integral Equation of the First Kind. - Carsten Carstensen; Dirk Praetorius (SIAM J. Sci. Comput., 2003)

All first-order averaging techniques for a posteriori finite element error control on unstructured grids are efficient and reliable. - Carsten Carstensen (Math. Comput., 2004)

Averaging techniques yield reliable a posteriori finite element error control for obstacle problems. - Sören Bartels; Carsten Carstensen (Numerische Mathematik, 2004)

Inhomogeneous Dirichlet conditions in a priori and a posteriori finite element error analysis. - Sören Bartels; Carsten Carstensen; Georg Dolzmann (Numerische Mathematik, 2004)

Uniform convergence and a posteriori error estimators for the enhanced strain finite element method. - Dietrich Braess; Carsten Carstensen; B. Daya Reddy (Numerische Mathematik, 2004)

An a priori error estimate for finite element discretizations in nonlinear elasticity for polyconvex materials under small loads. - Carsten Carstensen; Georg Dolzmann (Numerische Mathematik, 2004)

Residual-based a posteriori error estimate for hypersingular equation on surfaces. - Carsten Carstensen; Matthias Maischak; Dirk Praetorius; Ernst P. Stephan (Numerische Mathematik, 2004)

A posteriori error analysis for elliptic pdes on domains with complicated structures. - Carsten Carstensen; Stefan A. Sauter (Numerische Mathematik, 2004)

Time-Space Discretization of the Nonlinear Hyperbolic System utt = div ( sigma(Du)+ Dut). - Carsten Carstensen; Georg Dolzmann (SIAM J. Numer. Anal., 2004)

Convergence analysis of an adaptive edge finite element method for the 2D eddy current equations. - Carsten Carstensen; Ronald H. W. Hoppe (J. Num. Math., 2005)

A unifying theory of a posteriori finite element error control. - Carsten Carstensen (Numerische Mathematik, 2005)

A posteriori dual-mixed adaptive finite element error control for Lamé and Stokes equations. - Carsten Carstensen; Paola Causin; Riccardo Sacco (Numerische Mathematik, 2005)

Estimation of Higher Sobolev Norm from Lower Order Approximation. - Carsten Carstensen (SIAM J. Numer. Anal., 2005)

Explicit and Averaging A Posteriori Error Estimates for Adaptive Finite Volume Methods. - Carsten Carstensen; Raytcho D. Lazarov; Stanimire Tomov (SIAM J. Numer. Anal., 2005)

Numerical Analysis for a Macroscopic Model in Micromagnetics. - Carsten Carstensen; Dirk Praetorius (SIAM J. Numer. Anal., 2005)

Error reduction and convergence for an adaptive mixed finite element method. - Carsten Carstensen; R. H. W. Hoppe (Math. Comput., 2006)

A posteriori FE error control for p-Laplacian by gradient recovery in quasi-norm. - Carsten Carstensen; Wenbin Liu; Ningning Yan (Math. Comput., 2006)

Convergence analysis of an adaptive nonconforming finite element method. - Carsten Carstensen; Ronald H. W. Hoppe (Numerische Mathematik, 2006)

Residual-based a posteriori error estimate for a mixed Reißner-Mindlin plate finite element method. - Carsten Carstensen; Joachim Schöberl (Numerische Mathematik, 2006)

A Posteriori Error Estimates for Finite Element Approximation of Parabolic p-Laplacian. - Carsten Carstensen; Wenbin Liu; Ningning Yan (SIAM J. Numer. Anal., 2006)

Averaging Techniques for the Effective Numerical Solution of Symm's Integral Equation of the First Kind. - Carsten Carstensen; Dirk Praetorius (SIAM J. Sci. Comput., 2006)

Convergence analysis of a conforming adaptive finite element method for an obstacle problem. - Dietrich Braess; Carsten Carstensen; Ronald H. W. Hoppe (Numerische Mathematik, 2007)

A unifying theory of a posteriori error control for nonconforming finite element methods. - Carsten Carstensen; Jun Hu 013 (Numerische Mathematik, 2007)

Framework for the A Posteriori Error Analysis of Nonconforming Finite Elements. - Carsten Carstensen; Jun Hu 013; Antonio Orlando (SIAM J. Numer. Anal., 2007)

Averaging Techniques for the A Posteriori BEM Error Control for a Hypersingular Integral Equation in Two Dimensions. - Carsten Carstensen; Dirk Praetorius (SIAM J. Sci. Comput., 2007)

A posteriori error analysis for conforming MITC elements for Reissner-Mindlin plates. - Carsten Carstensen; Jun Hu 013 (Math. Comput., 2008)

A convergent adaptive finite element method for an optimal design problem. - Sören Bartels; Carsten Carstensen (Numerische Mathematik, 2008)

Unified framework for an a posteriori error analysis of non-standard finite element approximations of H(curl)-elliptic problems. - Carsten Carstensen; Ronald H. W. Hoppe (J. Num. Math., 2009)

A unifying theory of a posteriori error control for discontinuous Galerkin FEM. - Carsten Carstensen; Thirupathi Gudi; Max Jensen (Numerische Mathematik, 2009)

Modelling and simulation of process: machine interaction in grinding. - Jan C. Aurich; Dirk Biermann; Heribert Blum; Christian Brecher; Carsten Carstensen; Berend Denkena; Fritz Klocke; Matthias Kröger; Paul Steinmann; Klaus Weinert (Prod. Eng., 2009)

Analysis of a Class of Penalty Methods for Computing Singular Minimizers. - Carsten Carstensen; Christoph Ortner (Comput. Methods Appl. Math., 2010)

On the Strong Convergence of Gradients in Stabilized Degenerate Convex Minimization Problems. - Wolfgang Boiger; Carsten Carstensen (SIAM J. Numer. Anal., 2010)

An optimal adaptive mixed finite element method. - Carsten Carstensen; Hella Rabus (Math. Comput., 2011)

An oscillation-free adaptive FEM for symmetric eigenvalue problems. - Carsten Carstensen; Joscha Gedicke (Numerische Mathematik, 2011)

An adaptive homotopy approach for non-selfadjoint eigenvalue problems. - Carsten Carstensen; Joscha Gedicke; Volker Mehrmann; Agnieszka Miedlar (Numerische Mathematik, 2011)

A Priori and A Posteriori Pseudostress-velocity Mixed Finite Element Error Analysis for the Stokes Problem. - Carsten Carstensen; Dongho Kim; Eun-Jae Park (SIAM J. Numer. Anal., 2011)

Stabilisation yields strong convergence of macroscopic magnetisation vectors for micromagnetics without exchange energy. - Carsten Carstensen; Dirk Praetorius (J. Num. Math., 2012)

P1-Nonconforming Finite Elements on Triangulations into Triangles and Quadrilaterals. - Robert Altmann; Carsten Carstensen (SIAM J. Numer. Anal., 2012)

An Adaptive Finite Element Eigenvalue Solver of Asymptotic Quasi-Optimal Computational Complexity. - Carsten Carstensen; Joscha Gedicke (SIAM J. Numer. Anal., 2012)

Mixed Finite Element Method for a Degenerate Convex Variational Problem from Topology Optimization. - Carsten Carstensen; David Günther; Hella Rabus (SIAM J. Numer. Anal., 2012)

Comparison Results of Finite Element Methods for the Poisson Model Problem. - Carsten Carstensen; Daniel Peterseim; Mira Schedensack (SIAM J. Numer. Anal., 2012)

The Adaptive Nonconforming FEM for the Pure Displacement Problem in Linear Elasticity is Optimal and Robust. - Carsten Carstensen; Hella Rabus (SIAM J. Numer. Anal., 2012)

Numerical Experiments for the Arnold-Winther Mixed Finite Elements for the Stokes Problem. - Carsten Carstensen; Joscha Gedicke; Eun-Jae Park (SIAM J. Sci. Comput., 2012)

Computational survey on a posteriori error estimators for nonconforming finite element methods for the Poisson problem. - Carsten Carstensen; Christian Merdon (J. Comput. Appl. Math., 2013)

A posteriori error estimates for nonconforming finite element methods for fourth-order problems on rectangles. - Carsten Carstensen; Dietmar Gallistl; Jun Hu 013 (Numerische Mathematik, 2013)

Effective postprocessing for equilibration a posteriori error estimators. - Carsten Carstensen; Christian Merdon (Numerische Mathematik, 2013)

Optimal adaptive nonconforming FEM for the Stokes problem. - Carsten Carstensen; Daniel Peterseim; Hella Rabus (Numerische Mathematik, 2013)

Finite element network approximation of conductivity in particle composites. - Daniel Peterseim; Carsten Carstensen (Numerische Mathematik, 2013)

Quasi-optimal Adaptive Pseudostress Approximation of the Stokes Equations. - Carsten Carstensen; Dietmar Gallistl; Mira Schedensack (SIAM J. Numer. Anal., 2013)

Discrete Reliability for Crouzeix-Raviart FEMs. - Carsten Carstensen; Dietmar Gallistl; Mira Schedensack (SIAM J. Numer. Anal., 2013)

A posteriori error analysis of stabilised FEM for degenerate convex minimisation problems under weak regularity assumptions. - Wolfgang Boiger; Carsten Carstensen (Adv. Model. Simul. Eng. Sci., 2014)

Axioms of adaptivity. - Carsten Carstensen; Michael Feischl; Marcus Page; Dirk Praetorius (Comput. Math. Appl., 2014)

A discrete Helmholtz decomposition with Morley finite element functions and the optimality of adaptive finite element schemes. - Carsten Carstensen; Dietmar Gallistl; Jun Hu 013 (Comput. Math. Appl., 2014)

Low-order dPG-FEM for an elliptic PDE. - Carsten Carstensen; Dietmar Gallistl; Friederike Hellwig; Lucy Weggler (Comput. Math. Appl., 2014)

Computational Survey on A Posteriori Error Estimators for the Crouzeix-Raviart Nonconforming Finite Element Method for the Stokes Problem. - Carsten Carstensen; Christian Merdon (Comput. Methods Appl. Math., 2014)

Guaranteed lower bounds for eigenvalues. - Carsten Carstensen; Joscha Gedicke (Math. Comput., 2014)

Guaranteed lower eigenvalue bounds for the biharmonic equation. - Carsten Carstensen; Dietmar Gallistl (Numerische Mathematik, 2014)

An adaptive finite element method with asymptotic saturation for eigenvalue problems. - Carsten Carstensen; Joscha Gedicke; Volker Mehrmann; Agnieszka Miedlar (Numerische Mathematik, 2014)

A Posteriori Error Control for DPG Methods. - Carsten Carstensen; Leszek F. Demkowicz; Jayadeep Gopalakrishnan (SIAM J. Numer. Anal., 2014)

Refined Fully Explicit a Posteriori Residual-Based Error Control. - Carsten Carstensen; Christian Merdon (SIAM J. Numer. Anal., 2014)

An Optimal Adaptive Finite Element Method for an Obstacle Problem. - Carsten Carstensen; Jun Hu 013 (Comput. Methods Appl. Math., 2015)

Discontinuous Galerkin with Weakly Over-Penalized Techniques for Reissner-Mindlin Plates. - Paulo Rafael Bösing; Carsten Carstensen (J. Sci. Comput., 2015)

Convergence of adaptive finite element methods for a nonconvex double-well minimization problem. - Carsten Carstensen; Georg Dolzmann (Math. Comput., 2015)

Adaptive nonconforming Crouzeix-Raviart FEM for eigenvalue problems. - Carsten Carstensen; Dietmar Gallistl; Mira Schedensack (Math. Comput., 2015)

Weakly over-penalized discontinuous Galerkin schemes for Reissner-Mindlin plates without the shear variable. - Paulo Rafael Bösing; Carsten Carstensen (Numerische Mathematik, 2015)

Nonconforming FEMs for an Optimal Design Problem. - Carsten Carstensen; Dongjie Liu (SIAM J. Numer. Anal., 2015)

Convergence and Optimality of Adaptive Least Squares Finite Element Methods. - Carsten Carstensen; Eun-Jae Park (SIAM J. Numer. Anal., 2015)

Breaking spaces and forms for the DPG method and applications including Maxwell equations. - Carsten Carstensen; Leszek F. Demkowicz; Jay Gopalakrishnan (Comput. Math. Appl., 2016)

Reliable Averaging for the Primal Variable in the Courant FEM and Hierarchical Error Estimators on Red-Refined Meshes. - Carsten Carstensen; Martin Eigel (Comput. Methods Appl. Math., 2016)

Error analysis of nonconforming and mixed FEMs for second-order linear non-selfadjoint and indefinite elliptic problems. - Carsten Carstensen; Asha K. Dond; Neela Nataraj; Amiya Kumar Pani (Numerische Mathematik, 2016)

Justification of the saturation assumption. - Carsten Carstensen; Dietmar Gallistl; Joscha Gedicke (Numerische Mathematik, 2016)

The norm of a discretized gradient in ( varvec{H({{ mathrm{div}}})^*} ) for a posteriori finite element error analysis. - Carsten Carstensen; Daniel Peterseim; Andreas Schröder 001 (Numerische Mathematik, 2016)

A natural nonconforming FEM for the Bingham flow problem is quasi-optimal. - Carsten Carstensen; B. Daya Reddy; Mira Schedensack (Numerische Mathematik, 2016)

An optimal adaptive finite element method for elastoplasticity. - Carsten Carstensen; Andreas Schröder 001; Sebastian Wiedemann (Numerische Mathematik, 2016)

Low-Order Discontinuous Petrov-Galerkin Finite Element Methods for Linear Elasticity. - Carsten Carstensen; Friederike Hellwig (SIAM J. Numer. Anal., 2016)

-adaptive least-squares finite element methods for the 2D Stokes equations of any order with optimal convergence rates. - Philipp Bringmann; Carsten Carstensen (Comput. Math. Appl., 2017)

Minimum Residual and Least Squares Finite Element Methods II. - Marc I. Gerritsma; Carsten Carstensen; Leszek F. Demkowicz; Jay Gopalakrishnan (Comput. Math. Appl., 2017)

An adaptive least-squares FEM for the Stokes equations with optimal convergence rates. - Philipp Bringmann; Carsten Carstensen (Numerische Mathematik, 2017)

Convergence of natural adaptive least squares finite element methods. - Carsten Carstensen; Eun-Jae Park; Philipp Bringmann (Numerische Mathematik, 2017)

Efficient Discrete Lagrange Multipliers in three first-order finite element discretizations for the A Posteriori Error Control in an Obstacle Problem. - Carsten Carstensen; Karoline Köhler (SIAM J. Numer. Anal., 2017)

Axioms of Adaptivity with Separate Marking for Data Resolution. - Carsten Carstensen; Hella Rabus (SIAM J. Numer. Anal., 2017)

Constants in Discrete Poincaré and Friedrichs Inequalities and Discrete Quasi-Interpolation. - Carsten Carstensen; Friederike Hellwig (Comput. Methods Appl. Math., 2018)

Nonlinear discontinuous Petrov-Galerkin methods. - Carsten Carstensen; Philipp Bringmann; Friederike Hellwig; Peter Wriggers (Numerische Mathematik, 2018)

A low-order discontinuous Petrov-Galerkin method for the Stokes equations. - Carsten Carstensen; Sophie Puttkammer (Numerische Mathematik, 2018)

An Adaptive Least-Squares FEM for Linear Elasticity with Optimal Convergence Rates. - Philipp Bringmann; Carsten Carstensen; Gerhard Starke (SIAM J. Numer. Anal., 2018)

Three First-Order Finite Volume Element Methods for Stokes Equations under Minimal Regularity Assumptions. - Carsten Carstensen; Asha K. Dond; Neela Nataraj; Amiya Kumar Pani (SIAM J. Numer. Anal., 2018)

Optimal Convergence Rates for Adaptive Lowest-Order Discontinuous Petrov-Galerkin Schemes. - Carsten Carstensen; Friederike Hellwig (SIAM J. Numer. Anal., 2018)

Asymptotic Exactness of the Least-Squares Finite Element Residual. - Carsten Carstensen; Johannes Storn (SIAM J. Numer. Anal., 2018)

Quasi-Optimality of Adaptive Mixed FEMs for Non-selfadjoint Indefinite Second-Order Linear Elliptic Problems. - Carsten Carstensen; Asha K. Dond; Hella Rabus (Comput. Methods Appl. Math., 2019)

Residual-based a posteriori error analysis for symmetric mixed Arnold-Winther FEM. - Carsten Carstensen; Dietmar Gallistl; Joscha Gedicke (Numerische Mathematik, 2019)

Convergence of ( text{ dG(1) } ) in elastoplastic evolution. - Carsten Carstensen; Dongjie Liu; Jochen Alberty (Numerische Mathematik, 2019)

Morley Finite Element Method for the von Kármán Obstacle Problem. - Carsten Carstensen; Sharat Gaddam; Neela Nataraj; Amiya Kumar Pani; Devika Shylaja (CoRR, 2020)

Collective marking for adaptive least-squares finite element methods with optimal rates. - Carsten Carstensen (Math. Comput., 2020)

A Skeletal Finite Element Method Can Compute Lower Eigenvalue Bounds. - Carsten Carstensen; Qilong Zhai; Ran Zhang 002 (SIAM J. Numer. Anal., 2020)

Collective marking for arbitrary order adaptive least-squares finite element methods with optimal rates. - Carsten Carstensen; Rui Ma (Comput. Math. Appl., 2021)

Hierarchical Argyris Finite Element Method for Adaptive and Multigrid Algorithms. - Carsten Carstensen; Jun Hu 013 (Comput. Methods Appl. Math., 2021)

A Priori and a Posteriori Error Analysis of the Crouzeix-Raviart and Morley FEM with Original and Modified Right-Hand Sides. - Carsten Carstensen; Neela Nataraj (Comput. Methods Appl. Math., 2021)

A priori and a posteriori error analysis of the Crouzeix-Raviart and Morley FEM with original and modified righthand sides. - Carsten Carstensen; Neela Nataraj (CoRR, 2021)

Lower-order equivalent nonstandard finite element methods for biharmonic plates. - Carsten Carstensen; Neela Nataraj (CoRR, 2021)

Guaranteed lower bounds on eigenvalues of elliptic operators with a hybrid high-order method. - Carsten Carstensen; Alexandre Ern; Sophie Puttkammer (Numerische Mathematik, 2021)

Adaptive Mixed Finite Element Methods for Non-self-adjoint Indefinite Second-Order Elliptic PDEs with Optimal Rates. - Carsten Carstensen; Rui Ma (SIAM J. Numer. Anal., 2021)

Adaptive Morley FEM for the von Kármán Equations with Optimal Convergence Rates. - Carsten Carstensen; Neela Nataraj (SIAM J. Numer. Anal., 2021)

Unstabilized Hybrid High-order Method for a Class of Degenerate Convex Minimization Problems. - Carsten Carstensen; Ngoc Tien Tran (SIAM J. Numer. Anal., 2021)

Critical functions and inf-sup stability of Crouzeix-Raviart elements. - Carsten Carstensen; Stefan A. Sauter (Comput. Math. Appl., 2022)

Parameter-free implementation of the quadratic C0 interior penalty method for the biharmonic equation. - Philipp Bringmann; Carsten Carstensen; Julian Streitberger (CoRR, 2022)

Crouzeix-Raviart triangular elements are inf-sup stable. - Carsten Carstensen; Stefan A. Sauter (Math. Comput., 2022)

A priori and a posteriori error analysis of the lowest-order NCVEM for second-order linear indefinite elliptic problems. - Carsten Carstensen; Rekha Khot; Amiya Kumar Pani (Numerische Mathematik, 2022)

Stability of mixed FEMs for non-selfadjoint indefinite second-order linear elliptic PDEs. - Carsten Carstensen; Neela Nataraj; Amiya Kumar Pani (Numerische Mathematik, 2022)

Convergent adaptive hybrid higher-order schemes for convex minimization. - Carsten Carstensen; Ngoc Tien Tran (Numerische Mathematik, 2022)

Two discretisations of the time-dependent Bingham problem. - Carsten Carstensen; Mira Schedensack (Numerische Mathematik, 2023)

Direct Guaranteed Lower Eigenvalue Bounds with Optimal a Priori Convergence Rates for the Bi-Laplacian. - Carsten Carstensen; Sophie Puttkammer (SIAM J. Numer. Anal., 2023)

Stabilization-free HHO a posteriori error control. - Fleurianne Bertrand; Carsten Carstensen; Benedikt Gräßle; Ngoc Tien Tran (Numerische Mathematik, 2023)

Unified a priori analysis of four second-order FEM for fourth-order quadratic semilinear problems. - Carsten Carstensen; Neela Nataraj; Gopikrishnan Chirappurathu Remesan; Devika Shylaja (Numerische Mathematik, 2023)

Nonconforming Virtual Elements for the Biharmonic Equation with Morley Degrees of Freedom on Polygonal Meshes. - Carsten Carstensen; Rekha Khot; Amiya Kumar Pani (SIAM J. Numer. Anal., 2023)

A fractional-order trace-dev-div inequality. - Carsten Carstensen; Norbert Heuer (CoRR, 2024)

Rate-optimal higher-order adaptive conforming FEM for biharmonic eigenvalue problems on polygonal domains. - Carsten Carstensen; Benedikt Gräßle (CoRR, 2024)

Normal-normal continuous symmetric stresses in mixed finite element elasticity. - Carsten Carstensen; Norbert Heuer (Math. Comput., 2024)

A Posteriori Error Control for Fourth-Order Semilinear Problems with Quadratic Nonlinearity. - Carsten Carstensen; Benedikt Gräßle; Neela Nataraj (SIAM J. Numer. Anal., 2024)

Adaptive guaranteed lower eigenvalue bounds with optimal convergence rates. - Carsten Carstensen; Sophie Puttkammer (Numerische Mathematik, 2024)

Unifying a posteriori error analysis of five piecewise quadratic discretisations for the biharmonic equation. - Carsten Carstensen; Benedikt Gräßle; Neela Nataraj (J. Num. Math., 2024)

Adaptive hybrid high-order method for guaranteed lower eigenvalue bounds. - Carsten Carstensen; Benedikt Gräßle; Ngoc Tien Tran (Numerische Mathematik, 2024)

Local parameter selection in the C0 interior penalty method for the biharmonic equation. - Philipp Bringmann; Carsten Carstensen; Julian Streitberger (J. Num. Math., 2024)

A Note on the Quasi-Best Approximation Constant. - Carsten Carstensen (Comput. Methods Appl. Math., 2025)

Locking-Free Hybrid High-Order Method for Linear Elasticity. - Carsten Carstensen; Ngoc Tien Tran (SIAM J. Numer. Anal., 2025)

Normal-normal continuous symmetric stress approximation in three-dimensional linear elasticity. - Carsten Carstensen; Norbert Heuer (CoRR, 2025)

Non-augmented velocity-vorticity-pressure formulation for the Navier-Stokes-Brinkman-Forchheimer problem. - Santiago Badia; Carsten Carstensen; Alberto F. Martín; Ricardo Ruiz-Baier; Segundo Villa-Fuentes (CoRR, 2025)