Rapid Solution of the Wave Equation in Unbounded Domains
From MaRDI portal
Publication:5305929
DOI10.1137/070690754zbMath1191.35020OpenAlexW1994177753MaRDI QIDQ5305929
No author found.
Publication date: 24 March 2010
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/070690754
Wave equation (35L05) Theoretical approximation in context of PDEs (35A35) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)
Related Items (53)
Comparison of the convolution quadrature method and enhanced inverse FFT with application in elastodynamic boundary element method ⋮ A simple method of reconstructing a point-like scatterer according to time-dependent acoustic wave propagation ⋮ Time-dependent electromagnetic scattering from thin layers ⋮ Time Domain Integral Equation Methods in Computational Electromagnetism ⋮ Time dependent scattering from a grating ⋮ Generalized convolution quadrature based on Runge-Kutta methods ⋮ The panel-clustering method for the wave equation in two spatial dimensions ⋮ Time domain BEM for sound radiation of tires ⋮ Unnamed Item ⋮ Time Domain Linear Sampling Method for Inverse Scattering Problems with Cracks ⋮ Time Dependent Scattering in an Acoustic Waveguide Via Convolution Quadrature and the Dirichlet-to-Neumann Map ⋮ A CQM-based BEM for transient heat conduction problems in homogeneous materials and FGMs ⋮ A convolution quadrature Galerkin boundary element method for the exterior Neumann problem of the wave equation ⋮ Neumann exterior wave propagation problems: computational aspects of 3D energetic Galerkin BEM ⋮ Time domain boundary integral equations and convolution quadrature for scattering by composite media ⋮ Fast and Oblivious Algorithms for Dissipative and Two-dimensional Wave Equations ⋮ Convolution quadrature for the wave equation with impedance boundary conditions ⋮ Overresolving in the Laplace Domain for Convolution Quadrature Methods ⋮ A Galerkin method for retarded boundary integral equations with smooth and compactly supported temporal basis functions ⋮ Nyström discretizations of boundary integral equations for the solution of 2D elastic scattering problems ⋮ High-order, Dispersionless “Fast-Hybrid” Wave Equation Solver. Part I: O(1) Sampling Cost via Incident-Field Windowing and Recentering ⋮ Numerical solution of exterior Maxwell problems by Galerkin BEM and Runge-Kutta convolution quadrature ⋮ Lubich convolution quadratures and their application to problems described by space-time BIEs ⋮ Energy estimates for Galerkin semidiscretizations of time domain boundary integral equations ⋮ Runge-Kutta convolution quadrature for operators arising in wave propagation ⋮ An error analysis of Runge-Kutta convolution quadrature ⋮ An accelerated symmetric time-domain boundary element formulation for elasticity ⋮ Transparent boundary conditions for wave propagation in fractal trees: convolution quadrature approach ⋮ Efficient Solution of Two-Dimensional Wave Propagation Problems by CQ-Wavelet BEM: Algorithm and Applications ⋮ Convolution quadrature methods for 3D EM wave scattering analysis ⋮ Inverse obstacle scattering for acoustic waves in the time domain ⋮ Runge-Kutta convolution quadrature for the boundary element method ⋮ 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 ⋮ Local nonreflecting boundary condition for time-dependent multiple scattering ⋮ A regularized collocation boundary element method for linear poroelasticity ⋮ Efficient long-time computations of time-domain boundary integrals for 2D and dissipative wave equation ⋮ Time dependent electromagnetic scattering by a penetrable obstacle ⋮ Fast and stable contour integration for high order divided differences via elliptic functions ⋮ Stable numerical coupling of exterior and interior problems for the wave equation ⋮ Fast convolution quadrature for the wave equation in three dimensions ⋮ Space-Time Discretized Retarded Potential Boundary Integral Operators: Quadrature for Collocation Methods ⋮ Adaptive time discretization for retarded potentials ⋮ On the stability of direct time-domain boundary element methods for elastodynamics ⋮ A log-linear time algorithm for the elastodynamic boundary integral equation method ⋮ A fully discrete BEM-FEM scheme for transient acoustic waves ⋮ Time-domain boundary integral equation modeling of heat transmission problems ⋮ The time‐domain Lippmann–Schwinger equation and convolution quadrature ⋮ Generalized convolution quadrature with variable time stepping. II: Algorithm and numerical results ⋮ Time domain scattering and inverse scattering problems in a locally perturbed half-plane ⋮ Boundary element methods for the wave equation based on hierarchical matrices and adaptive cross approximation ⋮ Symmetric boundary-finite element discretization of time dependent acoustic scattering by elastic obstacles with piezoelectric behavior
This page was built for publication: Rapid Solution of the Wave Equation in Unbounded Domains