Numerical integration schemes for space-time hypersingular integrals in energetic Galerkin BEM

DOI10.1007/s11075-010-9371-3zbMath1200.65078OpenAlexW2058369864MaRDI QIDQ1960245

Mauro Diligenti, Alessandra Aimi, Chiara Guardasoni

Publication date: 13 October 2010

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-010-9371-3

zbMATH Keywords

wave equationnumerical examplesquadrature rulehypersingular integralGalerkin boundary element methodexterior Neumann wave propagation problemsspace-time hypersingular boundary integral equations

Mathematics Subject Classification ID

Wave equation (35L05) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)

Related Items (5)

Semi-analytical method for the pricing of barrier options in case of time-dependent parameters (with Matlab\(^\circledR\) codes) ⋮ Energetic BEM for the Numerical Solution of 2D Hard Scattering Problems of Damped Waves by Open Arcs ⋮ Restriction matrices in space-time energetic BEM ⋮ Energetic boundary element method for accurate solution of damped waves hard scattering problems ⋮ Restrictions matrices for Platonic solids invariance and applications to space-time energetic BEM

Cites Work

• Unnamed Item
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• Definitions, properties and applications of finite-part integrals
• Convolution quadrature and discretized operational calculus. II
• Numerical integration of functions with boundary singularities
• An energy approach to space-time Galerkin BEM for wave propagation problems
• Product-integration rules and their convergence
• The Numerical Evaluation of a 2-D Cauchy Principal Value Integral Arising in Boundary Integral Equation Methods
• Numerical integration schemes for the BEM solution of hypersingular integral equations
• A variational boundary integral equation method for an elastodynamic antiplane crack

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