Author(s)

V. Zarikian, L.J. Gra & G.H. Paulino

Abstract

Pointwise error estimates for boundary element calculations V. Zarikian," L.J. Gra/ & G.H. Paulino" ^ Department of Mathematics, University of CenZW F/orWo, OrWdo, FI ^gjfg, CAS%4 ^ Engineering Physics and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, 77V 37&9J, CASL4 ^ Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, ABSTRACT An essential ingredient for all adaptive boundary integral methods is a reliable estimate of the local error. This paper investigates an a posteriori error in- dicator based upon the evaluation of hypersingular equations. Computational experiments were performed for the two dimensional Laplace equation on inte- rior and exterior domains, employing Dirichlet, Neumann, and mixed boundary conditions. The results indicate that the error indicator successfully tracks the form of the exact error curve. Moreover, a reasonable estimate of the magni- tude of the error was also obtained. INTRODUCTION A wide var

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