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A variationally coupled FE–BE method for transient problems
Author(s) -
Belytschko T.,
Lu Y. Y.
Publication year - 1994
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620370107
Subject(s) - discretization , transient (computer programming) , statics , finite element method , coupling (piping) , interface (matter) , domain (mathematical analysis) , boundary (topology) , boundary element method , boundary value problem , statement (logic) , mathematics , mathematical analysis , extended finite element method , element (criminal law) , computer science , physics , mechanics , classical mechanics , engineering , structural engineering , mechanical engineering , bubble , maximum bubble pressure method , law , political science , operating system
A variationally coupled finite element–boundary element method is developed for transient problems. A single variational statement is obtained for the entire domain and the unknown tractions, which may be discontinuous on the interface and are often a source of difficulties, are eliminated. Moreover, no interface conditions need be taken into consideration at the level of the discretized equation. The discrete equations for the coupled system can be obtained directly without any intermediate steps. The method generalizes a coupling method previously developed by the authors for statics. Numerical examples show that the solutions obtained by the present method agree very well with those obtained by analytical solutions.