The Spectral Element Method Used to Assess the Quality of a Global C 1 Map

DOI10.1007/978-3-642-15337-2_42zbMath1216.65170OpenAlexW971083593MaRDI QIDQ2998553

Einar M. Rønquist, A. Emil Løvgren, Yvon Maday

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_42

zbMATH Keywords

convergencespectral element methodnumerical examplesLaplace problem

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) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (1)

A reduced basis hybrid method for the coupling of parametrized domains represented by fluidic networks

Cites Work

• Smooth interpolation in triangles
• Optimal error analysis of spectral methods with emphasis on non-constant coefficients and deformed geometries
• Mean value coordinates
• Transfinite element methods: Blending-function interpolation over arbitrary curved element domains
• Construction of curvilinear co-ordinate systems and applications to mesh generation
• Polynomial approximation of some singular functions
• GLOBAL C¹ MAPS ON GENERAL DOMAINS
• Pseudo-Harmonic Interpolation on Convex Domains
• The Reduced Basis Element Method for Fluid Flows

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