Optimal grids for anisotropic problems

zbMath1124.65102MaRDI QIDQ871271

Sergey Asvadurov, Shari Moskow, Vladimir Druskin

Publication date: 16 March 2007

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/128119

zbMATH Keywords

wave equationerror estimatesnumerical examplesfinite differenceselliptic equationssemidiscretizationrational approximationspectral convergenceanisotropic problemoptimal gridanisotropic partial differential equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Wave equation (35L05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Method of lines for boundary value problems involving PDEs (65N40)

Related Items (5)

Combination of the discontinuous Galerkin method with finite differences for simulation of seismic wave propagation ⋮ Reflectionless truncation of target area for axially symmetric anisotropic elasticity ⋮ Local time-space mesh refinement for simulation of elastic wave propagation in multi-scale media ⋮ Exponential convergence through linear finite element discretization of stratified subdomains ⋮ Near-Optimal Perfectly Matched Layers for Indefinite Helmholtz Problems

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