Variational Methods for Boundary Integral Equations: Theory and Applications
Date
1999-12-19
Authors
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Publisher
Department of Mathematical Sciences
Abstract
Variational methods for boundary integral equations deal with the weak formulations
of boundary integral equations. Their numerical discretizations are
known as the boundary element methods. The later has become one of the most
popular numerical schemes in recent years. In this expository paper, we discuss
some of the essential features of the methods, their intimate relations with the
variational formulations of the corresponding partial differential equations and
recent developments with respect to applications in domain composition from
both mathematical and numerical points of view.