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Indexed by:期刊论文

Date of Publication:2022-06-29

Journal:力学学报

Affiliation of Author(s):运载工程与力学学部

Volume:44

Issue:2

Page Number:361-368

ISSN No.:0459-1879

Abstract:A novel multi-domain boundary element method(MDBEM) analysis technique
   is presented to solve large-scale engineering problems.Firstly,the basic
   integral equations of each domain formulated in terms of
   internal,boundary and interface nodal variables are reduced to the
   algebraic equations in terms of interface nodal variables only by the
   three-step variable condensing technique.Then,a sparse system of
   equations formulated in terms of interface nodal quantities is assembled
   using the equilibrium equation and consistence condition at interface
   nodes.To solve the system of equations efficiently,this paper,for the
   first time,introduces a robust linear equation solution method,called
   the row elimination-back-substitution method(REBSM),to solve the
   non-symmetric sparse system of equations.REBSM performs both the
   elimination and back-substitution procedures when each row of the system
   is formed.When the last row is finished for assembling,the solutions of
   the system are obtained at the same time,without the need of the last
   back-substitution procedure.Since some repeated terms are
   incorporated,REBSM needs less storage than the Gaussian elimination
   method,has an improvement in computational speed by orders of
   magnitude,and provide BEM a robust equation solver for solving large
   engineering problems.

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