Robust operator estimates and the application to substructuring methods for first-order systems

DOI10.1051/m2an/2014006zbMath1304.65253OpenAlexW2124107707MaRDI QIDQ2925708

Christian Wieners, Barbara I. Wohlmuth

Publication date: 17 October 2014

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2014006

zbMATH Keywords

preconditioningsaddle point problemsfirst-order systemsdiscontinuous Petrov-Galerkin methodsubstructuring methods

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) First-order elliptic systems (35J46) Preconditioners for iterative methods (65F08)

Related Items (8)

Numerical evaluation of discontinuous and nonconforming finite element methods in nonlinear solid mechanics ⋮ Space-time discontinuous Galerkin discretizations for linear first-order hyperbolic evolution systems ⋮ A discontinuous Petrov-Galerkin methodology for adaptive solutions to the incompressible Navier-Stokes equations ⋮ The Skeleton Reduction for Finite Element Substructuring Methods ⋮ A geometric multigrid preconditioning strategy for DPG system matrices ⋮ A Scalable Preconditioner for a Primal Discontinuous Petrov--Galerkin Method ⋮ A tent pitching scheme motivated by Friedrichs theory ⋮ Space-time discontinuous Petrov-Galerkin methods for linear wave equations in heterogeneous media

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