Christian Merdon

Publication Activity (10 Years)

Years Active: 2013-2024
Publications (10 Years): 27

Top Topics

Finite Element Methods

Error Estimation

Top Venues

SIAM J. Numer. Anal.

J. Sci. Comput.

SIAM/ASA J. Uncertain. Quantification

Publications

Philip L. Lederer, Christian Merdon
Gradient-Robust Hybrid DG Discretizations for the Compressible Stokes Equations. J. Sci. Comput. 100 (2) (2024)
Volker John, Xu Li, Christian Merdon
Pressure-robust L2(Ω) error analysis for Raviart-Thomas enriched Scott-Vogelius pairs. Appl. Math. Lett. 156 (2024)
Naveed Ahmed, Volker John, Xu Li, Christian Merdon
Inf-sup stabilized Scott-Vogelius pairs on general shape-regular simplicial grids for Navier-Stokes equations. Comput. Math. Appl. 168 (2024)
Christian Merdon, Winnifried Wollner
Pressure-Robustness in the Context of Optimal Control. SIAM J. Control. Optim. 61 (1) (2023)
Philip L. Lederer, Christian Merdon
Gradient-robust hybrid DG discretizations for the compressible Stokes equations. CoRR (2023)
Christian Merdon, Winnifried Wollner
Pressure-robustness in the context of optimal control. CoRR (2022)
Volker John, Xu Li, Christian Merdon, Hongxing Rui
Inf-sup stabilized Scott-Vogelius pairs on general simplicial grids by Raviart-Thomas enrichment. CoRR (2022)
Naveed Ahmed, Volker John, Xu Li, Christian Merdon
Inf-sup stabilized Scott-Vogelius pairs on general simplicial grids for Navier-Stokes equations. CoRR (2022)
Philip L. Lederer, Christian Merdon
Guaranteed upper bounds for the velocity error of pressure-robust Stokes discretisations. J. Num. Math. 30 (4) (2022)
Naveed Ahmed, Gabriel R. Barrenechea, Erik Burman, Johnny Guzmán, Alexander Linke, Christian Merdon
A Pressure-Robust Discretization of Oseen's Equation Using Stabilization in the Vorticity Equation. SIAM J. Numer. Anal. 59 (5) (2021)
Philip L. Lederer, Christian Merdon
Guaranteed upper bounds for the velocity error of pressure-robust Stokes discretisations. CoRR (2020)
Thomas Apel, Volker Kempf, Alexander Linke, Christian Merdon
A nonconforming pressure-robust finite element method for the Stokes equations on anisotropic meshes. CoRR (2020)
Naveed Ahmed, Gabriel R. Barrenechea, Erik Burman, Johnny Guzmán, Alexander Linke, Christian Merdon
A pressure-robust discretization of Oseen's equation using stabilization in the vorticity equation. CoRR (2020)
Derk Frerichs, Christian Merdon
Divergence-preserving reconstructions on polygons and a really pressure-robust virtual element method for the Stokes problem. CoRR (2020)
Philip L. Lederer, Christian Merdon, Joachim Schöberl
Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods. Numerische Mathematik 142 (3) (2019)
Mine Akbas, Thierry Gallouët, Almut Gassmann, Alexander Linke, Christian Merdon
A gradient-robust well-balanced scheme for the compressible isothermal Stokes problem. CoRR (2019)
Alexander Linke, Christian Merdon, Michael Neilan
Pressure-robustness in quasi-optimal a priori estimates for the Stokes problem. CoRR (2019)
Naveed Ahmed, Alexander Linke, Christian Merdon
Towards Pressure-Robust Mixed Methods for the Incompressible Navier-Stokes Equations. Comput. Methods Appl. Math. 18 (3) (2018)
Alexander Linke, Christian Merdon, Michael Neilan, Felix Neumann
Quasi-optimality of a pressure-robust nonconforming finite element method for the Stokes-Problem. Math. Comput. 87 (312) (2018)
Naveed Ahmed, Alexander Linke, Christian Merdon
On Really Locking-Free Mixed Finite Element Methods for the Transient Incompressible Stokes Equations. SIAM J. Numer. Anal. 56 (1) (2018)
Volker John, Alexander Linke, Christian Merdon, Michael Neilan, Leo G. Rebholz
On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows. SIAM Rev. 59 (3) (2017)
Philip L. Lederer, Alexander Linke, Christian Merdon, Joachim Schöberl
Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations with Continuous Pressure Finite Elements. SIAM J. Numer. Anal. 55 (3) (2017)
Alexander Linke, Christian Merdon
On velocity errors due to irrotational forces in the Navier-Stokes momentum balance. J. Comput. Phys. 313 (2016)
Martin Eigel, Christian Merdon, Johannes Neumann
An Adaptive Multilevel Monte Carlo Method with Stochastic Bounds for Quantities of Interest with Uncertain Data. SIAM/ASA J. Uncertain. Quantification 4 (1) (2016)
Martin Eigel, Christian Merdon
Equilibration a Posteriori Error Estimation for Convection-Diffusion-Reaction Problems. J. Sci. Comput. 67 (2) (2016)
Martin Eigel, Christian Merdon
Local Equilibration Error Estimators for Guaranteed Error Control in Adaptive Stochastic Higher-Order Galerkin Finite Element Methods. SIAM/ASA J. Uncertain. Quantification 4 (1) (2016)
Alexander Linke, Christian Merdon
Guaranteed Energy Error Estimators for a Modified Robust Crouzeix-Raviart Stokes Element. J. Sci. Comput. 64 (2) (2015)
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)
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, Christian Merdon
Computational survey on a posteriori error estimators for nonconforming finite element methods for the Poisson problem. J. Comput. Appl. Math. 249 (2013)