A curvilinear spectral overlay method for high gradient problems

DOI10.1016/0045-7825(92)90194-OzbMath0749.65077OpenAlexW1992714897MaRDI QIDQ1191101

S. Singh

Publication date: 27 September 1992

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(92)90194-o

zbMATH Keywords

finite elementsPoisson equationcurvilinearNumerical exampleshigh gradienthigh rate of convergencespectral overlay finite element methodspectral overlay 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) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Cites Work

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• A spectral element method for fluid dynamics: Laminar flow in a channel expansion
• The spectral overlay on finite elements for problems with high gradients
• The patch test—a condition for assessing FEM convergence
• A non-conforming element for stress analysis