WIAS Preprint List: Linke, Alexander

• 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 .
• 2680: Fu, Guosheng; Lehrenfeld, Christoph; Linke, Alexander; Streckenbach, Timo
  Locking free and gradient robust H(div)-conforming HDG methods for linear elasticity
  Appeared in: J. Sci. Comput., 86 (2021), DOI 10.1007/s10915-020-01396-6 .
• 2667: ter Elst, A.F. M.; Linke, Alexander; Rehberg, Joachim
  On the numerical range of sectorial forms
  Appeared in: Pure Appl. Funct. Anal., 7 (2022), pp. 1931--1940.
• 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 .
• 2534: Linke, Alexander; Rebholz, Leo G.
  Pressure-induced locking in mixed methods for time-dependent (Navier--)Stokes equations
  Appeared in: J. Comput. Phys., 388 (2019), pp. 350--356, DOI 10.1016/j.jcp.2019.03.010 .
• 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.
• 2448: Akbas, Mine; Linke, Alexander; Rebholz, Leo G.; Schroeder, Philipp W.
  An analogue of grad-div stabilization in nonconforming methods for incompressible flows
  Appeared in: Comput. Methods Appl. Mech. Engrg., 341 (2018), pp. 917--938, DOI 10.20347/WIAS.PREPRINT.2448 .
• 2436: Schroeder, Philipp W.; Lehrenfeld, Christoph; Linke, Alexander; Lube, Gerd
  Towards computable flows and robust estimates for inf-sup stable FEM applied to the time-dependent incompressible Navier--Stokes equations
  Appeared in: SeMA J., 75 (2018), pp. 629--653, DOI 10.1007/s40324-018-0157-1 .
• 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.
• 2286: Farrell, Patricio; Linke, Alexander
  Uniform second order convergence of a complete flux scheme on unstructured 1D grids for a singularly perturbed advection-diffusion equation and some multidimensional extensions
  Appeared in: J. Sci. Comput., 72 (2017), pp. 373--395, DOI 10.1007/s10915-017-0361-7 .
• 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.
• 2195: Ern, Alexandre; di Pietro, Daniele; Linke, Alexander; Schieweck, Friedhelm
  A discontinuous skeletal method for the viscosity-dependent Stokes problem
  Appeared in: Comput. Methods Appl. Mech. Engrg., 306 (2016) pp. 175--195.
• 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.
• 2027: Linke, Alexander; Matthies, Gunar; Tobiska, Lutz
  Robust arbitrary order mixed finite element methods for the incompressible Stokes equations
  Appeared in: ESAIM Math. Model. Numer. Anal., 50 (2016) pp. 289--309 .
• 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.
• 1835: Linke, Alexander; Neilan, Michael; Rebholz, Leo G.; Wilson, Nicholas
  Improving efficiency of coupled schemes for Navier--Stokes equations by a connection to grad-div stabilized projection methods
  Appeared in: J. Numer. Math., 25 (2017), pp. 229--248, DOI 10.1515/jnma-2016-1024 ; changed title: A connection between coupled and penalty projection timestepping schemes with FE spatial discretization for the Navier--Stokes equations.
• 1827: Fiebach, André; Glitzky, Annegret; Linke, Alexander
  Convergence of an implicit Voronoi finite volume method for reaction-diffusion problems
  Appeared in: Numer. Methods Partial Differential Equations, 32 (2016), pp. 141--174.
• 1824: Linke, Alexander; Rebholz, Leo
  On a reduced sparsity stabilization of grad-div type for incompressible flow problems
  Appeared in: Comput. Methods Appl. Mech. Engrg., 261--262 (2013) pp. 142--153.
• 1821: Cousins, Benjamin; Le Borne, Sabine; Linke, Alexander; Rebholz, Leo G.; Wang, Zhen
  Efficient linear solvers for incompressible flow simulations using Scott--Vogelius finite elements
  Appeared in: Numer. Methods Partial Differential Equations, 29 (2013) pp. 1217--1237.
• 1810: Linke, Alexander
  On the role of the Helmholtz-decomposition in mixed methods for incompressible flows and a new variational crime
  Appeared in: Comput. Methods Appl. Mech. Engrg., 268 (2014) pp. 782--800.
• 1751: Jenkins, Eleanor; John, Volker; Linke, Alexander; Rebholz, Leo G.
  On the parameter choice in grad-div stabilization for incompressible flow problems
  Appeared in: Adv. Comput. Math., 40 (2014) pp. 491--516.
• 1718: Fiebach, André; Glitzky, Annegret; Linke, Alexander
  Uniform global bounds for solutions of an implicit Voronoi finite volume method for reaction-diffusion problems
  Appeared in: Numer. Math., 128 (2014) pp. 31--72.
• 1671: Galvin, Keith; Linke, Alexander; Rebholz, Leo; Wilson, Nicholas
  Stabilizing poor mass conservation in incompressible flow problems with large irrotational forcing and application to thermal convection
  Appeared in: Comput. Methods Appl. Mech. Engrg., 237--240 (2012) pp. 166--176.
• 1654: Eymard, Robert; Fuhrmann, Jürgen; Linke, Alexander
  MAC schemes on triangular Delaunay meshes
  Appeared in: Numer. Methods Partial Differential Equations, 30 (2014) pp. 1397--1424.
• 1609: Augustin, Matthias; Caiazzo, Alfonso; Fiebach, André; Fuhrmann, Jürgen; John, Volker; Linke, Alexander; Umla, Rudolf
  An assessment of discretizations for convection-dominated convection-diffusion equations
  Appeared in: Comp. Meth. Appl. Mech. Engrg., 200 (2011) pp. 3395--3409.
• 1589: Linke, Alexander; Rebholz, Leo G.; Wilson, Nicholas E.
  On the convergence rate of grad-div stabilized Taylor--Hood to Scott--Vogelius solutions for incompressible flow problems
  Appeared in: J. Math. Anal. Appl., 381 (2011) pp. 612--626.
• 1521: Fuhrmann, Jürgen; Langmach, Hartmut; Linke, Alexander
  A numerical method for mass conservative coupling between fluid flow and solute transport
  Appeared in: Appl. Numer. Math., 61 (2011) pp. 530--553.
• 1516: Bowers, Abigail L.; Cousins, Benjamin R.; Linke, Alexander; Rebholz, Leo G.
  New connections between finite element formulations of the Navier--Stokes equations
  Appeared in: J. Comput. Phys., 229 (2010) pp. 9020--9025.
• 1510: Case, Michael; Ervin, Vincent; Linke, Alexander; Rebholz, Leo
  Improving mass conservation in FE approximations of the Navier Stokes equations using continuous velocity fields: A connection between grad-div stabilization and Scott--Vogelius elements
  Appeared in: SIAM J. Numer. Anal., 49 (2011) pp. 1461--1481.
• 1509: Case, Michael; Ervin, Vincent; Linke, Alexander; Rebholz, Leo; Wilson, Nicholas
  Stable computing with an enhanced physics based scheme for the 3D Navier--Stokes equations
  Appeared in: Int. J. Numer. Anal. Model., 8 (2011) pp. 118--136.
• 1482: Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle; Linke, Alexander
  Convergence of a finite volume scheme for the biharmonic problem
  Appeared in: Math. Comp., 81 (2012) pp. 2019--2048.
• 1437: Ehrhardt, Matthias; Fuhrmann, Jürgen; Linke, Alexander
  A model of an electrochemical flow cell with porous layer
  
• 1408: Linke, Alexander
  Collision in a cross-shaped domain --- A steady 2D Navier--Stokes example demonstrating the importance of mass conservation in CFD
  Appeared in: Comput. Methods Appl. Mech. Engrg., 198 (2009) pp. 3278--3286.
• 1375: Ehrhardt, Matthias; Fuhrmann, Jürgen; Linke, Alexander; Holzbecher, Ekkehard
  Mathematical modeling of channel-porous layer interfaces in PEM fuel cells
  Appeared in: M. Ehrhardt, J. Fuhrmann, A. Linke, E. Holzbecher, Proceedings of FDFC2008 --- Fundamentals and Developments of Fuel Cell Conference 2008, Nancy, France, December 10--12 (CD), 2008, pp. 8 pages
• 1261: Linke, Alexander; Matthies, Gunar; Tobiska, Lutz
  Non-nested multi-grid solvers for mixed divergence-free Scott--Vogelius discretizations
  Appeared in: Computing, 83 (2008) pp. 87--107.
• 1165: Burman, Erik; Linke, Alexander
  Stabilized finite element schemes for incompressible flow using Scott--Vogelius elements
  Appeared in: Appl. Numer. Math., 58 (2008) pp. 1704--1719.