STABILITY ANALYSIS OF A COLLOCATION METHOD FOR SOLVING THE RETARDED POTENTIAL INTEGRAL EQUATION

DOI10.1142/S0218396X05002645zbMath1189.76387MaRDI QIDQ3573672

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Publication date: 1 July 2010

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

zbMATH Keywords

stabilitycollocation methodeigenvaluesretarded potential integral equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Hydro- and aero-acoustics (76Q05)

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ALTERNATIVE TIME DOMAIN BOUNDARY INTEGRAL EQUATIONS FOR THE SCALAR WAVE EQUATION USING DIVERGENCE-FREE REGULARIZATION TERMS

Cites Work

• A stability analysis of a time marching scheme for the general surface electric field integral equation
• Time domain integral equation solution for acoustic scattering from fluid targets
• A Galerkin BEM for transient acoustic scattering by an absorbing obstacle
• Stability and Convergence of Time Marching Methods in Scattering Problems
• Elastodynamic direct boundary element methods with enhanced numerical stability properties
• A fast higher-order time-domain finite element-boundary integral method for 3-D electromagnetic scattering analysis
• Numerical Solution for Transient Scattering from a Hard Surface of Arbitrary Shape—Retarded Potential Technique
• Transient acoustic scattering by a free (pressure release) sphere

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