Energy estimates for Galerkin semidiscretizations of time domain boundary integral equations
arXiv:1109.682619 citationsh-index: 26
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Provides theoretical guarantees for numerical methods in computational wave scattering, relevant for engineers and applied mathematicians.
The paper analyzes the stability and convergence of Galerkin semidiscretizations for time domain boundary integral equations in wave scattering, providing energy estimates that show the method preserves stability under certain conditions.
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.