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)

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

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)

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

Guaranteed Energy Error Estimators for a Modified Robust Crouzeix-Raviart Stokes Element. - Alexander Linke; Christian Merdon (J. Sci. Comput., 2015)

On velocity errors due to irrotational forces in the Navier-Stokes momentum balance. - Alexander Linke; Christian Merdon (J. Comput. Phys., 2016)

Equilibration a Posteriori Error Estimation for Convection-Diffusion-Reaction Problems. - Martin Eigel; Christian Merdon (J. Sci. Comput., 2016)

Local Equilibration Error Estimators for Guaranteed Error Control in Adaptive Stochastic Higher-Order Galerkin Finite Element Methods. - Martin Eigel; Christian Merdon (SIAM/ASA J. Uncertain. Quantification, 2016)

An Adaptive Multilevel Monte Carlo Method with Stochastic Bounds for Quantities of Interest with Uncertain Data. - Martin Eigel; Christian Merdon; Johannes Neumann (SIAM/ASA J. Uncertain. Quantification, 2016)

Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations with Continuous Pressure Finite Elements. - Philip L. Lederer; Alexander Linke; Christian Merdon; Joachim Schöberl (SIAM J. Numer. Anal., 2017)

On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows. - Volker John; Alexander Linke; Christian Merdon; Michael Neilan; Leo G. Rebholz (SIAM Rev., 2017)

Towards Pressure-Robust Mixed Methods for the Incompressible Navier-Stokes Equations. - Naveed Ahmed 004; Alexander Linke; Christian Merdon (Comput. Methods Appl. Math., 2018)

Quasi-optimality of a pressure-robust nonconforming finite element method for the Stokes-Problem. - Alexander Linke; Christian Merdon; Michael Neilan; Felix Neumann (Math. Comput., 2018)

On Really Locking-Free Mixed Finite Element Methods for the Transient Incompressible Stokes Equations. - Naveed Ahmed 004; Alexander Linke; Christian Merdon (SIAM J. Numer. Anal., 2018)

Pressure-robustness in quasi-optimal a priori estimates for the Stokes problem. - Alexander Linke; Christian Merdon; Michael Neilan (CoRR, 2019)

A gradient-robust well-balanced scheme for the compressible isothermal Stokes problem. - Mine Akbas; Thierry Gallouët; Almut Gassmann; Alexander Linke; Christian Merdon (CoRR, 2019)

Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods. - Philip L. Lederer; Christian Merdon; Joachim Schöberl (Numerische Mathematik, 2019)

Divergence-preserving reconstructions on polygons and a really pressure-robust virtual element method for the Stokes problem. - Derk Frerichs; Christian Merdon (CoRR, 2020)

A nonconforming pressure-robust finite element method for the Stokes equations on anisotropic meshes. - Thomas Apel; Volker Kempf; Alexander Linke; Christian Merdon (CoRR, 2020)

A Pressure-Robust Discretization of Oseen's Equation Using Stabilization in the Vorticity Equation. - Naveed Ahmed 004; Gabriel R. Barrenechea; Erik Burman; Johnny Guzmán; Alexander Linke; Christian Merdon (SIAM J. Numer. Anal., 2021)

Inf-sup stabilized Scott-Vogelius pairs on general simplicial grids by Raviart-Thomas enrichment. - Volker John; Xu Li; Christian Merdon; Hongxing Rui (CoRR, 2022)

Inf-sup stabilized Scott-Vogelius pairs on general simplicial grids for Navier-Stokes equations. - Naveed Ahmed 004; Volker John; Xu Li; Christian Merdon (CoRR, 2022)

Guaranteed upper bounds for the velocity error of pressure-robust Stokes discretisations. - Philip L. Lederer; Christian Merdon (J. Num. Math., 2022)

Pressure-Robustness in the Context of Optimal Control. - Christian Merdon; Winnifried Wollner (SIAM J. Control. Optim., 2023)

Pressure-robust L2(Ω) error analysis for Raviart-Thomas enriched Scott-Vogelius pairs. - Volker John; Xu Li; Christian Merdon (Appl. Math. Lett., 2024)

Inf-sup stabilized Scott-Vogelius pairs on general shape-regular simplicial grids for Navier-Stokes equations. - Naveed Ahmed 004; Volker John; Xu Li; Christian Merdon (Comput. Math. Appl., 2024)

Gradient-Robust Hybrid DG Discretizations for the Compressible Stokes Equations. - Philip L. Lederer; Christian Merdon (J. Sci. Comput., 2024)

Augmenting the grad-div stabilization for Taylor-Hood finite elements with a vorticity stabilization. - Volker John; Christian Merdon; Marwa Zainelabdeen (J. Num. Math., 2025)

Refined stability estimates for mixed problems by exploiting semi norm arguments. - Nicolas R. Gauger; Alexander Linke; Christian Merdon (CoRR, 2025)