WIAS Preprint List: Merdon, Christian

• 3097: John, Volker; Li, Xu; Merdon, Christian
  Pressure-robust L2 ($Omega$) error analysis for Raviart--Thomas enriched Scott--Vogelius pairs
  Appeared in: Appl. Math. Lett., 156 (2024), pp. 109138/1--109138/12, DOI 10.1016/j.aml.2024.109138 .
• 3064: Hadjimichael, Yiannis; Merdon, Christian; Liero, Matthias; Farrell, Patricio
  An energy-based finite-strain model for 3D heterostructured materials and its validation by curvature analysis
  
• 3055: John, Volker; Merdon, Christian; Zainelabdeen, Marwa
  Augmenting the grad-div stabilization for Taylor--Hood finite elements with a vorticity stabilization
  
• 2923: Merdon, Christian; Wollner, Winnifried
  Pressure-robustness in the context of optimal control
  Appeared in: SIAM J. Control Optim., 61 (2023), pp. 342--360, DOI 10.1137/22M1482603 .
• 2750: Lederer, Philip Lukas; Merdon, Christian
  Guaranteed upper bounds for the velocity error of pressure-robust Stokes discretisations
  Appeared in: J. Numer. Math., (2021), published online on 6.11.2021, DOI https://doi.org/10.1515/jnma-2021-0078 .
• 2740: Ahmed, Naveed; Barrenechea, Gabriel R; Burman, Erik; Guzmán, Johnny; Linke, Alexander; Merdon, Christian
  A pressure-robust discretization of Oseen's equation using stabilization in the vorticity equation
  Appeared in: SIAM J. Numer. Anal., 59 (2021), pp. 2746--2774 , DOI 10.1137/20M1351230 .
• 2702: Apel, Thomas; Kempf, Volker; Linke, Alexander; Merdon, Christian
  A nonconforming pressure-robust finite element method for the Stokes equations on anisotropic meshes
  Appeared in: IMA J. Numer. Anal., 42 (2022), pp. 392--416 (published online on 14.01.2021), DOI 10.1093/imanum/draa097 .
• 2683: Frerichs, Derk; Merdon, Christian
  Divergence-preserving reconstructions on polygons and a really pressure-robust virtual element method for the Stokes problem
  Appeared in: IMA J. Numer. Anal., 42 (2022), pp. 597--619 (published online on 09.11.2020), DOI 10.1093/imanum/draa073 .
• 2641: Akbas, Mine; Gallouët, Thierry; Gaßmann, Almut; Linke, Alexander; Merdon, Christian
  A gradient-robust well-balanced scheme for the compressible isothermal Stokes problem
  Appeared in: Comput. Methods Appl. Mech. Engrg., 367 (2020), 113069, DOI 10.1016/j.cma.2020.113069 .
• 2525: Fuhrmann, Jürgen; Guhlke, Clemens; Linke, Alexander; Merdon, Christian; Müller, Rüdiger
  Models and numerical methods for electrolyte flows
  Appeared in: Topics in Applied Analysis and Optimisation, M. Hintermüller, J.F. Rodrigues, eds., CIM Series in Mathematical Sciences, Springer Nature Switzerland AG, Cham, 2019, pp. 183--209.
• 2462: Lederer, Philip L.; Merdon, Christian; Schöberl, Joachim
  Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods
  Appeared in: J. Numer. Math., 142 (2019), pp. 713--748.
• 2402: Ahmed, Naveed; Linke, Alexander; Merdon, Christian
  Towards pressure-robust mixed methods for the incompressible Navier--Stokes equations
  Appeared in: Comput. Methods Appl. Math., 18 (2018), pp. 353--372 (published online on 18.11.2017), DOI 10.1515/cmam-2017-0047 .
• 2374: Linke, Alexander; Merdon, Christian; Neilan, Michael; Neumann, Felix
  Quasi-optimality of a pressure-robust nonconforming finite element method for the Stokes problem
  Appeared in: Math. Comp., 87 (2018), pp. 1543--1566, DOI 10.1090/mcom/3344 .
• 2368: Ahmed, Naveed; Linke, Alexander; Merdon, Christian
  On really locking-free mixed finite element methods for the transient incompressible Stokes equations
  Appeared in: SIAM J. Numer. Anal., 56 (2018), pp. 185--209.
• 2288: Lederer, Philip L.; Linke, Alexander; Merdon, Christian; Schöberl, Joachim
  Divergence-free reconstruction operators for pressure-robust Stokes discretizations with continuous pressure finite elements
  Appeared in: SIAM J. Numer. Anal., 55 (2017) pp. 1291--1314.
• 2250: Linke, Alexander; Merdon, Christian
  Pressure-robustness and discrete Helmholtz projectors in mixed finite element methods for the incompressible Navier--Stokes equations
  Appeared in: Comput. Methods Appl. Mech. Engrg., 311 (2016) pp. 304--326.
• 2177: John, Volker; Linke, Alexander; Merdon, Christian; Neilan, Michael; Rebholz, Leo G.
  On the divergence constraint in mixed finite element methods for incompressible flows
  Appeared in: SIAM Rev., 59 (2017) pp. 492--544, DOI 10.1137/15M1047696 .
• 2161: Fuhrmann, Jürgen; Linke, Alexander; Merdon, Christian; Neumann, Felix; Streckenbach, Timo; Baltruschat, Helmut; Khodayari, Mehdi
  Inverse modeling of thin layer flow cells for detection of solubility, transport and reaction coefficients from experimental data
  Appeared in: Electrochimica Acta, 211 (2016) pp. 1--10.
• 2140: Linke, Alexander; Merdon, Christian; Wollner, Winnifried
  Optimal L2 velocity error estimate for a modified pressure-robust Crouzeix--Raviart Stokes element
  Appeared in: IMA J. Numer. Anal., 37 (2017), pp. 354--374, DOI 10.1093/imanum/drw019 .
• 2132: Linke, Alexander; Merdon, Christian
  On spurious oscillations due to irrotational forces in the Navier--Stokes momentum balance
  Appeared in: J. Comput. Phys., 313 (2016) pp. 654--661.
• 2106: Bringmann, Philipp; Carstensen, Carsten; Merdon, Christian
  Guaranteed error control for the pseudostress approximation of the Stokes equations
  Appeared in: Numer. Methods Partial Differential Equations, 32 (2016) pp. 1411--1432.
• 2060: Eigel, Martin; Merdon, Christian; Neumann, Johannes
  An adaptive multi level Monte--Carlo method with stochastic bounds for quantities of interest in groundwater flow with uncertain data
  Appeared in: SIAM ASA J. Uncertain. Quantif., 4 (2016) pp. 1219--1245.
• 1997: Eigel, Martin; Merdon, Christian
  Local equilibration error estimators for guaranteed error control in adaptive stochastic higher-order Galerkin FEM
  Appeared in: SIAM ASA J. Uncertain. Quantif., 4 (2016) pp. 1372--1397.
• 1979: Linke, Alexander; Merdon, Christian
  Guaranteed energy error estimators for a modified robust Crouzeix--Raviart Stokes element
  Appeared in: J. Sci. Comput., 64 (2015) pp. 541--558.
• 1929: Brennecke, Christian; Linke, Alexander; Merdon, Christian; Schöberl, Joachim
  Optimal and pressure-independent $L^2$ velocity error estimates for a modified Crouzeix--Raviart Stokes element with BDM reconstructions
  Appeared in: J. Comput. Math., 33 (2015) pp. 191--208.
• 1822: Eigel, Martin; Merdon, Christian
  Robust equilibration a posteriori error estimation for convection-diffusion-reaction problems
  Appeared in: J. Sci. Comput., 67 (2016) pp. 747--768 under the title “Equilibration a posteriori error estimation for convection-diffusion-reaction problems”
• 1775: Carstensen, Carsten; Merdon, Christian; Neumann, Johannes
  Aspects of guaranteed error control in CPDEs