Derivation of strictly stable high order difference approximations for variable-coefficient PDE

DOI10.1007/s10915-011-9479-1zbMath1262.65104OpenAlexW2105998108MaRDI QIDQ421303

Bernhard Müller, Katharina Kormann, Martin Kronbichler

Publication date: 23 May 2012

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-011-9479-1

zbMATH Keywords

Navier-Stokes equationsnumerical exampleserror boundsinitial boundary value problemsvariable coefficientsstrict stabilitymass lumpingconvection diffusion equationhigh order finite difference methodGalerkin finite element methods

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Navier-Stokes equations (35Q30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (4)

On Galerkin difference methods ⋮ A second order box-type scheme for fractional sub-diffusion equation with spatially variable coefficient under Neumann boundary conditions ⋮ Coupling of Gaussian Beam and Finite Difference Solvers for Semiclassical Schrödinger Equations ⋮ The Role of Numerical Boundary Procedures in the Stability of Perfectly Matched Layers

Uses Software

• FEAPpv

Cites Work

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