A Galerkin projection technique for the evaluation of potential derivatives on a smooth boundary in 2D BEM

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• 作者：V. Manti膷-Lugo^a ; ¹ ; ^{vmanticlugo@gmail.com} ; L.J. Gray^b ; ^{graylj1@ornl.gov} ; V. Manti膷^a ; ^{mantic@esi.us.es} ; E. Graciani^a ; ^{graciani@esi.us.es} ; F. Par&iacute ; s^a ; ^{paris@esi.us.es}
• 关键词：Boundary element method ; Boundary integral equation ; Laplace equation ; Postprocessing ; Extraction technique ; Averaging technique ; Global smoothing ; L2-orthogonal projection ; Least-squares method
• 刊名：Engineering Analysis with Boundary Elements
• 出版年：2012
• 期刊代码：51_09557997
• 类别：et
• 出版时间：October, 2012
• 卷：36
• 期：10
• 页码：1502-1512
• 文件大小：778 K

摘要

A new simple and general technique for potential gradient recovery along the boundary in two-dimensional BEM is introduced and studied numerically. This technique is based on generalized Galerkin projections, and its basic formulation corresponds to a least-squares method. In preliminary numerical tests for Dirichlet and Neumann problems on smooth boundaries, this technique shows excellent accuracy. The normal flux is evaluated more accurately than direct BEM results, and the tangential flux values are calculated more accurately than with a local averaging technique.