Runge-Kutta convolution quadrature for operators arising in wave propagation

From MaRDI portal
Publication:639371

DOI10.1007/s00211-011-0378-zzbMath1227.65027OpenAlexW2129647233MaRDI QIDQ639371

Christian Lubich, Lehel Banjai, Jens Markus Melenk

Publication date: 20 September 2011

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-011-0378-z




Related Items

Time-dependent electromagnetic scattering from thin layersTime Domain Integral Equation Methods in Computational ElectromagnetismGeneralized convolution quadrature based on Runge-Kutta methodsThe panel-clustering method for the wave equation in two spatial dimensionsStable and convergent fully discrete interior-exterior coupling of Maxwell's equationsRunge-Kutta approximation for \(C_0\)-semigroups in the graph norm with applications to time domain boundary integral equationsSome properties of layer potentials and boundary integral operators for the wave equationTime domain boundary integral equations and convolution quadrature for scattering by composite mediaFast and Oblivious Algorithms for Dissipative and Two-dimensional Wave EquationsTransient elastic wave analysis of 3-D large-scale cavities by fast multipole BEM using implicit Runge-Kutta convolution quadratureConvolution quadrature for the wave equation with impedance boundary conditionsDiffraction of waves on square lattice by semi-infinite rigid constraintOverresolving in the Laplace Domain for Convolution Quadrature MethodsA Galerkin method for retarded boundary integral equations with smooth and compactly supported temporal basis functionsNyström discretizations of boundary integral equations for the solution of 2D elastic scattering problemsNon-stationary wave relaxation methods for general linear systems of Volterra equations: convergence and parallel GPU implementationA high-order algorithm for time-domain scattering in three dimensionsHigh-order, Dispersionless “Fast-Hybrid” Wave Equation Solver. Part I: O(1) Sampling Cost via Incident-Field Windowing and RecenteringNumerical solution of exterior Maxwell problems by Galerkin BEM and Runge-Kutta convolution quadratureContinuum limit of discrete Sommerfeld problems on square latticeRunge-Kutta convolution quadrature methods with convergence and stability analysis for nonlinear singular fractional integro-differential equationsEnergy estimates for Galerkin semidiscretizations of time domain boundary integral equationsEfficient convolution based impedance boundary conditionsEfficient high order algorithms for fractional integrals and fractional differential equationsNumerical approximation of the Schrödinger equation with concentrated potentialFast and Parallel Runge--Kutta Approximation of Fractional Evolution EquationsSparsity of Runge-Kutta convolution weights for the three-dimensional wave equationConvolution quadrature for the wave equation with a nonlinear impedance boundary conditionRunge-Kutta convolution quadrature for the boundary element methodExterior diffraction problems for two-dimensional square latticeConvolution quadrature methods for time-domain scattering from unbounded penetrable interfacesNumerical solutions of viscoelastic bending wave equations with two term time kernels by Runge-Kutta convolution quadratureAcoustic Scattering Problems with Convolution Quadrature and the Method of Fundamental SolutionsOn superconvergence of Runge-Kutta convolution quadrature for the wave equationFast convolution quadrature based impedance boundary conditionsPolynomially bounded error estimates for trapezoidal rule convolution quadratureNumerical solution of evolutionary integral equations with completely monotonic kernel by Runge–Kutta convolution quadratureStable numerical coupling of exterior and interior problems for the wave equationFast convolution quadrature for the wave equation in three dimensionsA fully discrete BEM-FEM scheme for transient acoustic wavesTime-domain boundary integral equation modeling of heat transmission problemsThe time‐domain Lippmann–Schwinger equation and convolution quadratureBoundary element methods for the wave equation based on hierarchical matrices and adaptive cross approximationSymmetric boundary-finite element discretization of time dependent acoustic scattering by elastic obstacles with piezoelectric behavior



Cites Work