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A boundary integral approach to linear and nonlinear transient wave scattering. (arXiv:1807.01142v1 [math.NA])
来源于:arXiv
In this paper we introduce a method for solving linear and nonlinear
scattering problems for wave equations using a new hybrid approach. This new
approach consists of a reformulation of the governing equations into a form
that can be solved by a combination of a domain-based method and a
boundary-integral method.Our reformulation is aimed at a situation where we
have a collection of compact scattering objects located in an otherwise
homogeneous unbounded space. The domain-based method is used to propagate the
equations governing the wave field inside the scattering objects forward in
time. The boundary integral method is used to supply the domain-based method
with the required boundary values for the wave field. In this way the best
features of both methods come into play; the response inside the scattering
objects, which can be caused by both material inhomogeneity and nonlinearities,
is easily taken into account using the domain-based method, and the boundary
conditions supplied by t 查看全文>>