An explicit second order spectral element method for acoustic waves
DOI10.1007/s10444-004-7626-zzbMath1118.65106OpenAlexW2014527956MaRDI QIDQ2509167
Luca F. Pavarino, Elena Zampieri
Publication date: 18 October 2006
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10444-004-7626-z
stabilityconvergencenumerical resultsspectral elementsacoustic wave equationleap-frog methodexplicit time advancing schemes
Wave equation (35L05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
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- Non-reflecting boundary conditions
- Spectral approximation for elliptic boundary value problems
- Finite element analysis of acoustic scattering
- Techniques of scientific computing (Part 2)
- Spectral elements for transport-dominated equations
- Numerical approximation of elastic waves equations by implicit spectral methods
- The h, p and h-p versions of the finite element method in 1 dimension. I. The error analysis of the p-version
- Nodal high-order methods on unstructured grids. I: Time-domain solution of Maxwell's equations
- On the condition number of some spectral collocation operators and their finite element preconditioning
- Generalized Galerkin approximations of elastic waves with absorbing boundary conditions
- The $h-p$ version of the finite element method with quasiuniform meshes
- Thepandh-pVersions of the Finite Element Method, Basic Principles and Properties
- A Domain Decomposition Method for the Acoustic Wave Equation with Discontinuous Coefficients and Grid Change
- High-Order Methods for Incompressible Fluid Flow
- Spectral methods for hyperbolic problems