Application of Energetic BEM to 2D Elastodynamic Soft Scattering Problems
نویسندگان
چکیده
منابع مشابه
Energetic Galerkin BEM and domain decomposition for 2D wave propagation problems in multi-layered media
The aim of the talk is to present an advanced implementation of a direct spacetime Galerkin boundary element method for the discretization of retarded potential boundary integral equations related to Dirichlet-Neumann 2D wave propagation problems defined on multi-domains. This technique, recently introduced for the case of a single-domain [1, 2, 4], is based on a natural energy identity satisfi...
متن کاملA Numerical Study of Energetic Bem-fem Applied to Wave Propagation in 2d Multidomains
Abstract. Starting from a recently developed energetic space-time weak formulation of boundary integral equations related to wave propagation problems defined on single and multidomains, a coupling algorithm is presented, which allows a flexible use of finite and boundary element methods as local discretization techniques, in order to efficiently treat unbounded multilayered media. Partial diff...
متن کاملInvited Paper A new BEM formulation of acoustic scattering problems
Kussmaul's (1969) formulation of acoustic scattering problems involves the superposition of a double-layer distribution and a simple-layer distribution on the boundary.This ensured the existence of a unique solution for all wave numbers of the incoming wave. However,the boundary integral equation involves a highly singular kernel which proves difficult to treat numerically. An alternative appro...
متن کاملDual reciprocity BEM and dynamic programming filter for inverse elastodynamic problems
This paper presents the first coupling application of the dual reciprocity BEM (DRBEM) and dynamic programming filter to inverse elastodynamic problem. The DRBEM is the only BEM method, which does not require domain discretization for general linear and nonlinear dynamic problems. Since the size of numerical discretization system has a great effect on the computing effort of recursive or iterat...
متن کاملLocal solutions to high-frequency 2D scattering problems
We consider the solution of high-frequency scattering problems in two dimensions, modelled by an integral equation on the boundary of the scattering object. We devise a numerical method to obtain solutions on only parts of the boundary with little computational effort. The method incorporates asymptotic properties of the solution and can therefore attain particularly good results for high frequ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Applied and Industrial Mathematics
سال: 2019
ISSN: 2038-0909
DOI: 10.1515/caim-2019-0020