Retarded Potentials and Time Domain Boundary Integral Equations: A Road Map by Francisco-Javier SayasEnglish | PDF,EPUB | 2016 | 251 Pages | ISBN : 3319266438 | 5.95 MB
This book offers a thorough and self-contained exposition of the mathematics of time-domain boundary integral equations associated to the wave equation, including applications to scattering of acoustic and elastic waves. The book offers two different approaches for the analysis of these integral equations, including a systematic treatment of their numerical discretization using Galerkin (Boundary Element) methods in the space variables and Convolution Quadrature in the time variable. The first approach follows classical work started in the late eighties, based on Laplace transforms estimates.
