Spectral methods for hyperbolic initial boundary value problems on parallel computers

DOI10.1016/S0377-0427(00)00535-5zbMath0987.65101MaRDI QIDQ5946733

Pravir K. Dutt, Smita Bedekar

Publication date: 23 June 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

preconditioningparallel computationconjugate gradient methodinitial boundary value problemslinear hyperbolic systemsspectral methods

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Parallel numerical computation (65Y05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (10)

Nonconforming \(h\)-\(p\) spectral element methods for elliptic problems ⋮ Domain decomposition methods for hyperbolic problems ⋮ \(h\)-\(p\) spectral element method for elliptic problems on nonsmooth domains using parallel computers ⋮ Spectral element methods for parabolic problems ⋮ Nonconforming spectral element method: a friendly introduction in one dimension and a short review in higher dimensions ⋮ Spectral element method for parabolic initial value problem with non-smooth data: analysis and application ⋮ Nonconforming least-squares spectral element method for European options ⋮ Spectral method and spectral element method for three dimensional linear elliptic system: analysis and application ⋮ FEM and BEM parallel processing: theory and applications – a bibliography (1996‐2002) ⋮ Stability estimates for h-p spectral element methods for elliptic problems

Cites Work

• Spectral methods for initial boundary value problems with nonsmooth data
• The Galerkin-collocation method for hyperbolic initial boundary value problems
• Spectral Methods for Initial Boundary Value Problems—An Alternative Approach
• Initial-Boundary Value Problems for Linear Hyperbolic System
• Spectral Methods for Periodic Initial Value Problems with Nonsmooth Data
• Thepandh-pVersions of the Finite Element Method, Basic Principles and Properties
• On the Gibbs Phenomenon and Its Resolution
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