A Conservative Spectral Element Method for Curvilinear Domains

DOI10.1007/978-3-642-15337-2_8zbMath1216.65166OpenAlexW141816714MaRDI QIDQ2998516

Mick Bouman, Artur Palha, Jasper J. Kreeft, M. I. Gerritsma

Publication date: 18 May 2011

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-15337-2_8

zbMATH Keywords

numerical examplePoisson equationexponential convergencecurvilinear gridsmimetic spectral element method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

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Cites Work

• The numerical solution of diffusion problems in strongly heterogeneous non-isotropic materials
• Discrete Poincaré lemma
• Differential forms. With applications to the physical sciences
• Edge Functions for Spectral Element Methods
• Unnamed Item