Author(s)

N. Kamiya, E. Kita & M. Koide

Abstract

Error estimation and adaptive mesh refinement in boundary element methods N. Kamiya, E. Kita, M. Koide Department of Mechano-Informatics and Systems, Nagoya University, Nagoya, 464-01 Japan ABSTRACT This paper reviews recent studies on error estimation and adaptive mesh refinement schemes in boundary element methods (BEM). The adaptive methods discussed here are constructed of error estimation, adaptive tactics and mesh refinement. The error estimation is the process to evaluate BEM solution error and its schemes will be classified into residual type, interpolation error type, boundary integral equation error type and so on. Mesh refinement is the process to refine initially prescribed mesh uniformly or selectively, which will be divided into h-, p-, r- and their combinations. Adaptive tactics are the way to search the element to be refined and to select relevant refinement scheme. INTRODUCTION In design and manufacturing processes of machines and structures,

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