Timely Communication: Diagonal Edge Preconditioners in p-version and Spectral Element Methods

DOI10.1137/S1064827595292321zbMath0939.65070OpenAlexW2023221946MaRDI QIDQ4336720

Mario A. Casarin

Publication date: 19 June 2000

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s1064827595292321

zbMATH Keywords

spectral element methodnumerical examplesSchur complementcondition numbers\(p\)-version finite element methoddiagonal preconditioner

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) 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)

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Unnamed Item ⋮ Semi-automatic sparse preconditioners for high-order finite element methods on non-uniform meshes ⋮ Error estimates and adaptive finite element methods ⋮ A domain decomposition preconditioner for \(p\)-FEM discretizations of two-dimensional elliptic problems ⋮ Preconditioned spectral multi-domain discretization of the incompressible Navier-Stokes equations ⋮ On condition numbers in \(hp\)-FEM with Gauss-Lobatto-based shape functions ⋮ Efficient analysis of dense fiber reinforcement using a reduced embedded formulation ⋮ Construction of minimum energy high-order Helmholtz bases for structured elements ⋮ Hybrid multigrid/Schwarz algorithms for the spectral element method

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