Poisson approach for evaluating numerical methods for the two-dimensional wave equation constrained to absorbing boundary conditions

DOI10.1016/j.amc.2008.12.043zbMath1161.65077OpenAlexW1997516851MaRDI QIDQ1008590

Fermin S. Viloche Bazán, Jáuber Cavalcante Oliveira

Publication date: 30 March 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2008.12.043

zbMATH Keywords

wave equationnumerical examplessemi-exact solutionChebyshev pseudospectral methodsGauss quadraturesPoisson's formulae

Mathematics Subject Classification ID

Wave equation (35L05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (1)

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Uses Software

• Matlab
• Eigtool

Cites Work

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• Absorbing boundaries for wave propagation problems
• Partial differential equations. 4th ed
• A modified Chebyshev pseudospectral method with an \(O(N^{-1})\) time step restriction
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• Diagonally implicit multistage integration methods for pseudospectral solutions of the wave equation
• Absorbing boundary conditions of the second order for the pseudospectral Chebyshev methods for wave propagation
• A note on stability of pseudospectral methods for wave propagation
• Absorbing boundary conditions for diffusion equations
• A pseudospectral Chebychev method for the 2D wave equation with domain stretching and absorbing boundary conditions
• A nonlinear approach to absorbing boundary conditions for the semilinear wave equation
• Absorbing Boundary Conditions for Difference Approximations to the Multi-Dimensional Wave Equation
• Numerical Absorbing Boundary Conditions for the Wave Equation
• Absorbing Boundary Conditions for the Numerical Simulation of Waves
• Radiation boundary conditions for acoustic and elastic wave calculations
• Absorbing boundary conditions for reaction-diffusion equations
• Spectral Methods in MATLAB
• Partial Differential Equations
• A Practical Guide to Pseudospectral Methods
• Análise Espectral de um Método Pseudo Espectral para Propagação de Onda com Condições de Fronteira Transparentes

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