Energy estimates for Galerkin semidiscretizations of time domain boundary integral equations
Francisco-Javier Sayas
TL;DR
This paper investigates how Galerkin semidiscretization in space influences the behavior of boundary integral equations in wave scattering and propagation problems, providing insights into numerical stability and accuracy.
Contribution
It offers new energy estimates and analysis for Galerkin semidiscretizations applied to retarded boundary integral equations in wave problems.
Findings
Energy estimates for Galerkin semidiscretizations
Impact on stability and accuracy of wave boundary integral equations
Guidelines for numerical implementation
Abstract
In this paper we present a battery of results related to how Galerkin semidiscretization in space affects some formulations of wave scattering and propagation problems when retarded boundary integral equations are used.
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Taxonomy
TopicsElectromagnetic Simulation and Numerical Methods · Electromagnetic Scattering and Analysis · Numerical methods in engineering