Convolution Quadrature for Wave Simulations

DOI10.1007/978-3-319-32146-2_2zbMath1351.65102arXiv1407.0345OpenAlexW2481534227MaRDI QIDQ2825470

Matthew E. Hassell, Francisco-Javier Sayas

Publication date: 13 October 2016

Published in: SEMA SIMAI Springer Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.0345

zbMATH Keywords

algorithmLaplace transformwave equationscatteringdiscrete Fourier transformRunge-Kutta methodsemidiscretizationacoustic wavesconvolution equationconvolution quadraturetime domain boundary integral equationsoverresolving in the Laplace domain for convolution quadrature methods

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Wave equation (35L05) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Hydro- and aero-acoustics (76Q05) Numerical methods for discrete and fast Fourier transforms (65T50) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Laplace transform (44A10) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Volterra integral equations (45D05) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)

Related Items (15)

Runge-Kutta approximation for \(C_0\)-semigroups in the graph norm with applications to time domain boundary integral equations ⋮ Overresolving in the Laplace Domain for Convolution Quadrature Methods ⋮ Analysis of models for viscoelastic wave propagation ⋮ A boundary-field formulation for elastodynamic scattering ⋮ Convolution quadrature methods for time-domain scattering from unbounded penetrable interfaces ⋮ Acoustic Scattering Problems with Convolution Quadrature and the Method of Fundamental Solutions ⋮ Polynomially bounded error estimates for trapezoidal rule convolution quadrature ⋮ A fully discrete Calderón calculus for the two-dimensional elastic wave equation ⋮ Evolution of a semidiscrete system modeling the scattering of acoustic waves by a piezoelectric solid ⋮ The Laguerre transform of a convolution product of vector-valued functions ⋮ The Costabel-Stephan system of boundary integral equations in the time domain ⋮ A fully discrete BEM-FEM scheme for transient acoustic waves ⋮ Time-domain boundary integral equation modeling of heat transmission problems ⋮ Boundary Integral Solvers for an Evolutionary Exterior Stokes Problem ⋮ Boundary element methods for the wave equation based on hierarchical matrices and adaptive cross approximation

Cites Work

• New development in freefem++
• Numerical optimization of the Voith‐Schneider® Propeller

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