Optimal Solvers for Fourth-Order PDEs Discretized on Unstructured Grids

DOI10.1137/120878148zbMath1293.65160arXiv1203.0632OpenAlexW1987470495MaRDI QIDQ5415992

Shuo Zhang, Jin-Chao Xu

Publication date: 19 May 2014

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.0632

zbMATH Keywords

algorithmSobolev spacefinite element methodconjugate gradient methodunstructured gridsPoisson equationpreconditionerpolygonal domainsnumerical testdifferent boundary conditionsfourth-order PDEsoptimal solver

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08)

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