Application of the difference Gaussian rules to solution of hyperbolic problems

DOI10.1006/jcph.1999.6410zbMath0955.65063OpenAlexW1973189718MaRDI QIDQ1975441

Sergey Asvadurov, Vladimir Druskin, Leonid Knizhnerman

Publication date: 28 August 2000

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.1999.6410

zbMATH Keywords

linear elasticitywave propagationhyperbolic problemsexponential superconvergencefinite-difference schemeoptimal grids

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Wave equation (35L05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods applied to problems in solid mechanics (74S20) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (10)

Three-point finite-difference schemes, Padé and the spectral Galerkin method. I. One-sided impedance approximation ⋮ Direct, Nonlinear Inversion Algorithm for Hyperbolic Problems via Projection-Based Model Reduction ⋮ Stability of FDTD on nonuniform grids for Maxwell's equations in lossless media ⋮ An extended Krylov subspace model-order reduction technique to simulate wave propagation in unbounded domains ⋮ Compensated optimal grids for elliptic boundary-value problems ⋮ Multiscale S-Fraction Reduced-Order Models for Massive Wavefield Simulations ⋮ Reflectionless truncation of target area for axially symmetric anisotropic elasticity ⋮ Application of the difference Gaussian rules to solution of hyperbolic problems. II: Global expansion ⋮ Exponential convergence through linear finite element discretization of stratified subdomains ⋮ Distance preserving model order reduction of graph-Laplacians and cluster analysis

Cites Work

• A Practical Guide to Pseudospectral Methods
• Gaussian Spectral Rules for the Three-Point Second Differences: I. A Two-Point Positive Definite Problem in a Semi-Infinite Domain
• Unnamed Item

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