Spectral element methods for parabolic problems

DOI10.1016/j.cam.2006.04.014zbMath1117.65135OpenAlexW2092806419MaRDI QIDQ880206

Pankaj Biswas, Saktipada Ghorai, Pravir K. Dutt

Publication date: 11 May 2007

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

Full work available at URL: https://doi.org/10.1016/j.cam.2006.04.014

zbMATH Keywords

error estimatesdomain decompositionspectral elementsleast-squaresparabolic problemsparallel preconditioners

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Parallel numerical computation (65Y05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (11)

Nonconforming spectral element method: a friendly introduction in one dimension and a short review in higher dimensions ⋮ Numerical and theoretical discussions for solving nonlinear generalized Benjamin–Bona–Mahony–Burgers equation based on the Legendre spectral element method ⋮ Spectral element method for parabolic initial value problem with non-smooth data: analysis and application ⋮ Application of spectral element method for solving Sobolev equations with error estimation ⋮ Least-squares spectral element preconditioners for fourth order elliptic problems ⋮ Spectral element method for parabolic interface problems ⋮ Fully discrete least-squares spectral element method for parabolic interface problems ⋮ Preconditioners for spectral element methods for elliptic and parabolic problems ⋮ Nonconforming least-squares spectral element method for European options ⋮ Spectral method and spectral element method for three dimensional linear elliptic system: analysis and application ⋮ Spectral element method for three dimensional elliptic problems with smooth interfaces

Cites Work

• Spectral methods for initial boundary value problems with nonsmooth data
• Stability estimates for h-p spectral element methods for general elliptic problems on curvilinear domains
• Stability estimates for h-p spectral element methods for elliptic problems
• The $h{\text{ - }}p$ Version of the Finite Element Method for Domains with Curved Boundaries
• Spectral methods for hyperbolic initial boundary value problems on parallel computers
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