Mesh dependent stability and condition number estimates for finite element approximations of parabolic problems

DOI10.1090/S0025-5718-2013-02703-2zbMath1279.65119MaRDI QIDQ2862518

Qiang Du, Liyong Zhu

Publication date: 15 November 2013

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

stabilityfinite element methodcondition numberconditioningunstructured meshparabolic problemmesh qualitystable time step size

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Iterative numerical methods for linear systems (65F10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items

Mesh-dependent stability for finite element approximations of parabolic equations with mass lumping ⋮ Conditioning of implicit Runge-Kutta integration for finite element approximation of linear diffusion equations on anisotropic meshes ⋮ Stability of Explicit One-Step Methods for P1-Finite Element Approximation of Linear Diffusion Equations on Anisotropic Meshes ⋮ Conditioning of the finite volume element method for diffusion problems with general simplicial meshes ⋮ Sharp Bounds on the Smallest Eigenvalue of Finite Element Equations with Arbitrary Meshes without Regularity Assumptions ⋮ \(\theta\) schemes for finite element discretization of the space-time fractional diffusion equations

Uses Software

• FEAPpv

Cites Work

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