A hierarchical preconditioner for the mortar finite element method

zbMath0870.65105MaRDI QIDQ1920187

Mario A. Casarin, Olof B. Widlund

Publication date: 28 July 1997

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/119135

zbMATH Keywords

numerical examplescondition numberpreconditionersadditive Schwarz methodmortar finite element methodlinear second-order elliptic problemsYserantant's hierarchical basis

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (15)

A computational multilevel approach for solving 2D Navier-Stokes equations over non-matching grids ⋮ On the accuracy of the mortar finite volume element method with Lagrange multipliers ⋮ A multigrid local smoother approach for a domain decomposition solver over non‐matching grids ⋮ Schwarz preconditioned CG algorithm for the mortar finite element ⋮ Mortar element methods for parabolic problems ⋮ The mortar element method for nonselfadjoint parabolic problem ⋮ Uniform $hp$ convergence results for the mortar finite element method ⋮ Basics and some applications of the mortar element method ⋮ A non-conforming computational methodology for modeling coupled problems ⋮ Stability and convergence of nonconforming \(hp\) finite-element methods ⋮ Additive Schwarz method for mortar discretization of elliptic problems with \(P_{1}\) nonconforming finite elements ⋮ \(hp\) submeshing via non-conforming finite element methods ⋮ Additive Schwarz methods for the Crouzeix-Raviart mortar finite element for elliptic problems with discontinuous coefficients ⋮ Uniform convergence and Schwarz method for the mortar element method for non-selfadjoint and indefinite problems ⋮ The mortar finite volume method with the Crouzeix--Raviart element for elliptic problems

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