A Nyström flavored Calderón calculus of order three for two dimensional waves, time-harmonic and transient
From MaRDI portal
Publication:316452
DOI10.1016/j.camwa.2013.11.005zbMath1350.65133arXiv1304.7218OpenAlexW1992003304MaRDI QIDQ316452
Sijiang L. Lu, Francisco-Javier Sayas, Víctor Domínguez
Publication date: 27 September 2016
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1304.7218
numerical examplesHelmholtz equationboundary element methodsconvolution quadratureCalderón calculusNyström methods
Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)
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Cites Work
- Unnamed Item
- Quadrature by expansion: a new method for the evaluation of layer potentials
- High-order accurate methods for Nyström discretization of integral equations on smooth curves in the plane
- Spline qualocation methods for boundary integral equations
- A direct boundary integral equation method for transmission problems
- A Galerkin collocation method for some integral equations of the first kind
- Linear integral equations.
- On the multistep time discretization of linear initial-boundary value problems and their boundary integral equations
- Inverse acoustic and electromagnetic scattering theory.
- Asymptotic expansions of the error of spline Galerkin boundary element methods
- Periodic Dirac delta distributions in the boundary element method
- Qualocation
- Fully discrete spectral boundary integral methods for Helmholtz problems on smooth closed surfaces in \(\mathbb R^3\)
- The Euler-Maclaurin formula in presence of a logarithmic singularity
- Theoretical aspects of the application of convolution quadrature to scattering of acoustic waves
- Convergence analysis of a high-order Nyström integral-equation method for surface scattering problems
- Dirac delta methods for Helmholtz transmission problems
- Ein numerisches Verfahren zur Lösung des Neumannschen Außenraumproblems für die Helmholtzsche Schwingungsgleichung
- Über eine Methode zum räumlichen Neumannschen Problem mit einer Anwendung für torusartige Berandungen
- Wave Propagation Problems Treated with Convolution Quadrature and BEM
- Quadrature Methods for Strongly Elliptic Equations of Negative Order on Smooth Closed Curves
- The Numerical Solution of Integral Equations of the Second Kind
- A fast, high-order algorithm for the solution of surface scattering problems: Basic implementation, tests, and applications
