Mesh independence of galerkin approach by preconditioning

DOI10.1080/00207168908803742zbMath0679.65035OpenAlexW2113778307MaRDI QIDQ4729247

Dumitru Adam

Publication date: 1989

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207168908803742

zbMATH Keywords

rate of convergencepreconditioningmultigrid methodstiffness matrixGalerkin discretizationmesh independence

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50)

Related Items (6)

Preconditioned cg‐like methods for solving non‐linear convection—diffusion equations ⋮ Mesh independence of the condition number of discrete galerkin systems by preconditioning ⋮ Preconditioning conjugate gradient method for nonsymmetric systems ⋮ Preconditioning by approximations of the discrete Laplacian for 2‐D non‐linear free convection elliptic equations ⋮ Preconditioning by approximations of the Gram matrix for convection-diffusion equations ⋮ Preconditioning by gram matrix approximation for diffusion-convection-reaction equations with discontinuous coefficients

Cites Work

• Hierarchical bases of finite-element spaces in the discretization of nonsymmetric elliptic boundary value problems
• Preconditioning by Fast Direct Methods for Nonself-Adjoint Nonseparable Elliptic Equations

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