Refined stability estimates for mixed problems by exploiting semi norm arguments.

Alexander Linke

Nicolas R. Gauger Alexander Linke Christian Merdon Refined stability estimates for mixed problems by exploiting semi norm arguments. 2025 June abs/2506.11566 CoRR https://doi.org/10.48550/arXiv.2506.11566 db/journals/corr/corr2506.html#abs-2506-11566 streams/journals/corr

Guosheng Fu Christoph Lehrenfeld Alexander Linke Timo Streckenbach Locking-Free and Gradient-Robust ${\varvec{H}}({{\, \mathrm{{\text {div}}}\, }})$-Conforming HDG Methods for Linear Elasticity. 39 2021 86 J. Sci. Comput. 3 https://doi.org/10.1007/s10915-020-01396-6 https://www.wikidata.org/entity/Q115994601 db/journals/jscic/jscic86.html#FuLLS21

Naveed Ahmed 0004 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. 2746-2774 2021 59 SIAM J. Numer. Anal. 5 https://doi.org/10.1137/20M1351230 db/journals/siamnum/siamnum59.html#0004BBGLM21

Guosheng Fu Christoph Lehrenfeld Alexander Linke Timo Streckenbach Locking free and gradient robust H(div)-conforming HDG methods for linear elasticity. 2020 abs/2001.08610 CoRR https://arxiv.org/abs/2001.08610 db/journals/corr/corr2001.html#abs-2001-08610

Thomas Apel Volker Kempf Alexander Linke Christian Merdon A nonconforming pressure-robust finite element method for the Stokes equations on anisotropic meshes. 2020 abs/2002.12127 CoRR https://arxiv.org/abs/2002.12127 db/journals/corr/corr2002.html#abs-2002-12127

Naveed Ahmed 0004 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. 2020 abs/2007.04012 CoRR https://arxiv.org/abs/2007.04012 db/journals/corr/corr2007.html#abs-2007-04012

Alexander Linke Leo G. Rebholz Pressure-induced locking in mixed methods for time-dependent (Navier-)Stokes equations. 350-356 2019 388 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2019.03.010 db/journals/jcphy/jcphy388.html#LinkeR19

Abdallah Salama Alexander Linke Igor Pessoa Rocha Carsten Binnig XAI: A Middleware for Scalable AI. 109-120 2019 DATA https://doi.org/10.5220/0008120301090120 conf/data/2019 db/conf/data/data2019.html#SalamaLRB19

Alexander Linke Christian Merdon Michael Neilan Pressure-robustness in quasi-optimal a priori estimates for the Stokes problem. 2019 abs/1906.03009 CoRR http://arxiv.org/abs/1906.03009 db/journals/corr/corr1906.html#abs-1906-03009

Mine Akbas Thierry Gallouët Almut Gassmann Alexander Linke Christian Merdon A gradient-robust well-balanced scheme for the compressible isothermal Stokes problem. 2019 abs/1911.01295 CoRR http://arxiv.org/abs/1911.01295 db/journals/corr/corr1911.html#abs-1911-01295

Naveed Ahmed 0004 Alexander Linke Christian Merdon Towards Pressure-Robust Mixed Methods for the Incompressible Navier-Stokes Equations. 353-372 2018 18 Comput. Methods Appl. Math. 3 https://doi.org/10.1515/cmam-2017-0047 db/journals/cmam/cmam18.html#AhmedLM18

Alexander Linke Christian Merdon Michael Neilan Felix Neumann Quasi-optimality of a pressure-robust nonconforming finite element method for the Stokes-Problem. 1543-1566 2018 87 Math. Comput. 312 https://doi.org/10.1090/mcom/3344 db/journals/moc/moc87.html#LinkeMNN18

Naveed Ahmed 0004 Alexander Linke Christian Merdon On Really Locking-Free Mixed Finite Element Methods for the Transient Incompressible Stokes Equations. 185-209 2018 56 SIAM J. Numer. Anal. 1 https://doi.org/10.1137/17M1112017 db/journals/siamnum/siamnum56.html#AhmedLM18

Alexander Linke Michael Neilan Leo G. Rebholz Nicholas E. Wilson A connection between coupled and penalty projection timestepping schemes with FE spatial discretization for the Navier-Stokes equations. 229-248 2017 25 J. Num. Math. 4 https://doi.org/10.1515/jnma-2016-1024 db/journals/jnma/jnma25.html#LinkeNRW17

Patricio Farrell Alexander Linke Uniform Second Order Convergence of a Complete Flux Scheme on Unstructured 1D Grids for a Singularly Perturbed Advection-Diffusion Equation and Some Multidimensional Extensions. 373-395 2017 72 J. Sci. Comput. 1 https://doi.org/10.1007/s10915-017-0361-7 db/journals/jscic/jscic72.html#FarrellL17

Philip L. Lederer Alexander Linke Christian Merdon Joachim Schöberl Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations with Continuous Pressure Finite Elements. 1291-1314 2017 55 SIAM J. Numer. Anal. 3 https://doi.org/10.1137/16M1089964 db/journals/siamnum/siamnum55.html#LedererLMS17

Volker John Alexander Linke Christian Merdon Michael Neilan Leo G. Rebholz On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows. 492-544 2017 59 SIAM Rev. 3 https://doi.org/10.1137/15M1047696 db/journals/siamrev/siamrev59.html#JohnLMNR17

Alexander Linke Christian Merdon On velocity errors due to irrotational forces in the Navier-Stokes momentum balance. 654-661 2016 313 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2016.02.070 db/journals/jcphy/jcphy313.html#LinkeM16

Alexander Linke Christian Merdon Guaranteed Energy Error Estimators for a Modified Robust Crouzeix-Raviart Stokes Element. 541-558 2015 64 J. Sci. Comput. 2 https://doi.org/10.1007/s10915-014-9943-9 db/journals/jscic/jscic64.html#LinkeM15

Eleanor W. Jenkins Volker John Alexander Linke Leo G. Rebholz On the parameter choice in grad-div stabilization for the Stokes equations. 491-516 2014 40 Adv. Comput. Math. 2 https://doi.org/10.1007/s10444-013-9316-1 db/journals/adcm/adcm40.html#JenkinsJLR14

André Fiebach Annegret Glitzky Alexander Linke Uniform global bounds for solutions of an implicit Voronoi finite volume method for reaction-diffusion problems. 31-72 2014 128 Numerische Mathematik 1 https://doi.org/10.1007/s00211-014-0604-6 db/journals/nm/nm128.html#FiebachGL14

Robert Eymard Thierry Gallouët Raphaèle Herbin Alexander Linke Finite volume schemes for the biharmonic problem on general meshes. 2012 81 Math. Comput. 280 https://doi.org/10.1090/S0025-5718-2012-02608-1 db/journals/moc/moc81.html#EymardGHL12 2019-2048

Michael A. Case Vincent J. Ervin Alexander Linke Leo G. Rebholz A Connection Between Scott-Vogelius and Grad-Div Stabilized Taylor-Hood FE Approximations of the Navier-Stokes Equations. 1461-1481 2011 49 SIAM J. Numer. Anal. 4 https://doi.org/10.1137/100794250 db/journals/siamnum/siamnum49.html#CaseELR11

Jochen Härdtlein Christoph Pflaum Alexander Linke Carsten H. Wolters Advanced expression templates programming. 59-68 2010 13 Comput. Vis. Sci. 2 https://doi.org/10.1007/s00791-009-0128-2 db/journals/comvis/comvis13.html#HardtleinPLW10

Abigail L. Bowers Benjamin R. Cousins Alexander Linke Leo G. Rebholz New connections between finite element formulations of the Navier-Stokes equations. 9020-9025 2010 229 J. Comput. Phys. 24 https://doi.org/10.1016/j.jcp.2010.08.036 db/journals/jcphy/jcphy229.html#BowersCLR10

Alexander Linke Gunar Matthies Lutz Tobiska Non-nested multi-grid solvers for mixed divergence-free Scott-Vogelius discretizations. 87-107 2008 83 Computing 2-3 https://doi.org/10.1007/s00607-008-0016-5 db/journals/computing/computing83.html#LinkeMT08

Jochen Härdtlein Alexander Linke Christoph Pflaum Fast Expression Templates. 1055-1063 2005 conf/iccS/2005-2 International Conference on Computational Science (2) https://doi.org/10.1007/11428848_133 db/conf/iccS/iccS2005-2.html#HardtleinLP05 Naveed Ahmed 0004 Mine Akbas Thomas Apel Gabriel R. Barrenechea Carsten Binnig Abigail L. Bowers Erik Burman Michael A. Case Benjamin R. Cousins Vincent J. Ervin Robert Eymard Patricio Farrell André Fiebach Guosheng Fu Thierry Gallouët Almut Gassmann Nicolas R. Gauger Annegret Glitzky Johnny Guzmán Jochen Härdtlein Raphaèle Herbin Eleanor W. Jenkins Volker John Volker Kempf Philip L. Lederer Christoph Lehrenfeld Gunar Matthies Christian Merdon Michael Neilan Felix Neumann Christoph Pflaum Leo G. Rebholz Igor Pessoa Rocha Abdallah Salama Joachim Schöberl Timo Streckenbach Lutz Tobiska Nicholas E. Wilson Carsten H. Wolters