Christian Merdon

36 papers Journal 36

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Pressure-robustness for the axisymmetric Stokes problem by velocity reconstruction. CoRR Philip L. Lederer, Christoph Lehrenfeld, Christian Merdon, Tim van Beeck
2025	J	`jnl`	Augmenting the grad-div stabilization for Taylor-Hood finite elements with a vorticity stabilization. J. Num. Math. Volker John, Christian Merdon, Marwa Zainelabdeen
2025	J	`jnl`	Divergence-free decoupled finite element methods for incompressible flow problems. CoRR Volker John, Xu Li, Christian Merdon
2025	J	`jnl`	Reduced Basis Approach for Convection-Diffusion Equations with Non-Linear Boundary Reaction Conditions. CoRR Sebastian Matera, Christian Merdon, Daniel Runge
2025	J	`jnl`	Refined stability estimates for mixed problems by exploiting semi norm arguments. CoRR Nicolas R. Gauger, Alexander Linke, Christian Merdon
2024	J	`jnl`	Gradient-Robust Hybrid DG Discretizations for the Compressible Stokes Equations. J. Sci. Comput. Philip L. Lederer, Christian Merdon
2024	J	`jnl`	Inf-sup stabilized Scott-Vogelius pairs on general shape-regular simplicial grids for Navier-Stokes equations. Comput. Math. Appl. Naveed Ahmed, Volker John, Xu Li, Christian Merdon
2024	J	`jnl`	Pressure-robust L2(Ω) error analysis for Raviart-Thomas enriched Scott-Vogelius pairs. Appl. Math. Lett. Volker John, Xu Li, Christian Merdon
2023	J	`jnl`	Gradient-robust hybrid DG discretizations for the compressible Stokes equations. CoRR Philip L. Lederer, Christian Merdon
2023	J	`jnl`	Pressure-Robustness in the Context of Optimal Control. SIAM J. Control. Optim. Christian Merdon, Winnifried Wollner
2022	J	`jnl`	Guaranteed upper bounds for the velocity error of pressure-robust Stokes discretisations. J. Num. Math. Philip L. Lederer, Christian Merdon
2022	J	`jnl`	Inf-sup stabilized Scott-Vogelius pairs on general simplicial grids by Raviart-Thomas enrichment. CoRR Volker John, Xu Li, Christian Merdon, Hongxing Rui
2022	J	`jnl`	Inf-sup stabilized Scott-Vogelius pairs on general simplicial grids for Navier-Stokes equations. CoRR Naveed Ahmed, Volker John, Xu Li, Christian Merdon
2022	J	`jnl`	Pressure-robustness in the context of optimal control. CoRR Christian Merdon, Winnifried Wollner
2021	J	`jnl`	A Pressure-Robust Discretization of Oseen's Equation Using Stabilization in the Vorticity Equation. SIAM J. Numer. Anal. Naveed Ahmed, Gabriel R. Barrenechea, Erik Burman, Johnny Guzmán, Alexander Linke, Christian Merdon
2020	J	`jnl`	A nonconforming pressure-robust finite element method for the Stokes equations on anisotropic meshes. CoRR Thomas Apel, Volker Kempf, Alexander Linke, Christian Merdon
2020	J	`jnl`	A pressure-robust discretization of Oseen's equation using stabilization in the vorticity equation. CoRR Naveed Ahmed, Gabriel R. Barrenechea, Erik Burman, Johnny Guzmán, Alexander Linke, Christian Merdon
2020	J	`jnl`	Divergence-preserving reconstructions on polygons and a really pressure-robust virtual element method for the Stokes problem. CoRR Derk Frerichs, Christian Merdon
2020	J	`jnl`	Guaranteed upper bounds for the velocity error of pressure-robust Stokes discretisations. CoRR Philip L. Lederer, Christian Merdon
2019	J	`jnl`	A gradient-robust well-balanced scheme for the compressible isothermal Stokes problem. CoRR Mine Akbas, Thierry Gallouët, Almut Gassmann, Alexander Linke, Christian Merdon
2019	J	`jnl`	Pressure-robustness in quasi-optimal a priori estimates for the Stokes problem. CoRR Alexander Linke, Christian Merdon, Michael Neilan
2019	J	`jnl`	Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods. Numerische Mathematik Philip L. Lederer, Christian Merdon, Joachim Schöberl
2018	J	`jnl`	On Really Locking-Free Mixed Finite Element Methods for the Transient Incompressible Stokes Equations. SIAM J. Numer. Anal. Naveed Ahmed, Alexander Linke, Christian Merdon
2018	J	`jnl`	Quasi-optimality of a pressure-robust nonconforming finite element method for the Stokes-Problem. Math. Comput. Alexander Linke, Christian Merdon, Michael Neilan, Felix Neumann
2018	J	`jnl`	Towards Pressure-Robust Mixed Methods for the Incompressible Navier-Stokes Equations. Comput. Methods Appl. Math. Naveed Ahmed, Alexander Linke, Christian Merdon
2017	J	`jnl`	Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations with Continuous Pressure Finite Elements. SIAM J. Numer. Anal. Philip L. Lederer, Alexander Linke, Christian Merdon, Joachim Schöberl
2017	J	`jnl`	On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows. SIAM Rev. Volker John, Alexander Linke, Christian Merdon, Michael Neilan, Leo G. Rebholz
2016	J	`jnl`	An Adaptive Multilevel Monte Carlo Method with Stochastic Bounds for Quantities of Interest with Uncertain Data. SIAM/ASA J. Uncertain. Quantification Martin Eigel, Christian Merdon, Johannes Neumann
2016	J	`jnl`	Equilibration a Posteriori Error Estimation for Convection-Diffusion-Reaction Problems. J. Sci. Comput. Martin Eigel, Christian Merdon
2016	J	`jnl`	Local Equilibration Error Estimators for Guaranteed Error Control in Adaptive Stochastic Higher-Order Galerkin Finite Element Methods. SIAM/ASA J. Uncertain. Quantification Martin Eigel, Christian Merdon
2016	J	`jnl`	On velocity errors due to irrotational forces in the Navier-Stokes momentum balance. J. Comput. Phys. Alexander Linke, Christian Merdon
2015	J	`jnl`	Guaranteed Energy Error Estimators for a Modified Robust Crouzeix-Raviart Stokes Element. J. Sci. Comput. Alexander Linke, Christian Merdon
2014	J	`jnl`	Computational Survey on A Posteriori Error Estimators for the Crouzeix-Raviart Nonconforming Finite Element Method for the Stokes Problem. Comput. Methods Appl. Math. Carsten Carstensen, Christian Merdon
2014	J	`jnl`	Refined Fully Explicit a Posteriori Residual-Based Error Control. SIAM J. Numer. Anal. Carsten Carstensen, Christian Merdon
2013	J	`jnl`	Computational survey on a posteriori error estimators for nonconforming finite element methods for the Poisson problem. J. Comput. Appl. Math. Carsten Carstensen, Christian Merdon
2013	J	`jnl`	Effective postprocessing for equilibration a posteriori error estimators. Numerische Mathematik Carsten Carstensen, Christian Merdon