Spectral elements for transport-dominated equations

Publication date: 22 May 1997

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

zbMATH Keywords

algorithm convergence error estimates spectral element method textbook nonlinear Schrödinger equation Navier-Stokes equation Poisson equation domain decomposition method spectral collocation method time discretization Poincaré-Steklov operator transport diffusion equations semiconductor device equations

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Navier-Stokes equations for incompressible viscous fluids (76D05) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Boundary element methods applied to problems in fluid mechanics (76M15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

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