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Trefftz method: an overview
Abstract The aim of this paper is to review the existing formulations of ‘Trefftz method’. The Trefftz formulations are classified into the direct and the indirect formulations and then, comparedExpand
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Distance transformation for the numerical evaluation of near singular boundary integrals with various kernels in boundary element method
The accurate numerical solution of near singular boundary integrals was an issue of major concern in most of the boundary element analysis next to the singular boundary integrals. The problem wasExpand
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Complete polynomial expansion of domain variables at boundary for two-dimensional elasto-plastic problems
Domain variables were fully represented by complete series of polynomial expansions at the boundary via the intrinsic correlation among the integral kernels, all of them being derived fundamentalExpand
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Error estimation and adaptive mesh refinement in boundary element method, an overview
Abstract Further to the previous review article (Adv Engng Software 19(1) (1994) 21–32), this paper reviews more recent studies on the same subject by citing more than one hundred papers. TheExpand
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A general algorithm for the numerical evaluation of nearly singular boundary integrals of various orders for two- and three-dimensional elasticity
Abstract A general algorithm of the distance transformation type is presented in this paper for the accurate numerical evaluation of nearly singular boundary integrals encountered in elasticity,Expand
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A new complex-valued formulation and eigenvalue analysis of the Helmholtz equation by boundary element method
By considering the close relationship between the multiple reciprocity boundary element formulation and that of the fundamental solution of the Helmholtz differential operator, we present a newExpand
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A general algorithm for accurate computation of field variables and its derivatives near the boundary in BEM
Abstract A general algorithm was proposed in the paper for the accurate computation of the field variables and its derivatives at domain points near the boundary in attempt to solve the so-calledExpand
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Parallel implementation of boundary element method with domain decomposition
Algorithms for the parallel boundary element computation of the domain-decomposed problem are considered in this paper. In this method, boundary conditions on virtual internal boundaries are assumed,Expand
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Rotational protoplasmic streaming in Nitella and some physical properties of the endoplasm
Rotational protoplasmic streaming in Nitella cell and some physical properties of endoplasm
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A note on multiple reciprocity integral formulation for the Helmholtz equation
The multiple reciprocity method (MRM) is known as a method for elimination of domain integrals appearing in the integral equation in the framework of the direct-type boundary-element formulation. TheExpand
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