Numerical Solution of Elliptic and Parabolic Partial Differential Equations

DOI10.1017/CBO9781139025508zbMath1297.65161OpenAlexW1483728884MaRDI QIDQ2904669

John A. Trangenstein

Publication date: 16 August 2012

Full work available at URL: https://doi.org/10.1017/cbo9781139025508

zbMATH Keywords

numerical methodstextbookelliptic equationsmultigridparabolic equationsmesh refinementmortar methoditerative solution methodsbasic theoryadvanced finite element theoryadvanced theoryhypertext-CDincluded programs

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Numerical computation of solutions to systems of equations (65H10) Boundary value problems for second-order elliptic equations (35J25) Initial-boundary value problems for second-order parabolic equations (35K20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis (65-01) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (8)

Isogeometric analysis in option pricing ⋮ Discontinuous Galerkin solutions for elliptic problems on polygonal grids using arbitrary-order Bernstein-Bézier functions ⋮ Robust fast method for variable-order time-fractional diffusion equations without regularity assumptions of the true solutions ⋮ Nonconforming spectral element method: a friendly introduction in one dimension and a short review in higher dimensions ⋮ Efficient finite difference scheme for a hidden-memory variable-order time-fractional diffusion equation ⋮ An implicit difference scheme for time-fractional diffusion equations with a time-invariant type variable order ⋮ Unnamed Item ⋮ On the Reformulation of the Classical Stefan Problem as a Shape Optimization Problem

Uses Software

• Matlab
• deal.ii

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