SPLITTING EXTRAPOLATIONS FOR SOLVING BOUNDARY INTEGRAL EQUATIONS OF LINEAR ELASTICITY DIRICHLET PROBLEMS ON POLYGONS BY MECHANICAL QUADRATURE METHODS

• 来源期刊: 计算数学（英文版）
• 关键词: Splitting extrapolation Linear elasticity Dirichlet problem Boundary integral equation of the first kind Mechanical quadrature method
• 年，卷（期）: 2006,（1）
• 页码范围: 9-18
• 页数: 10页
• 语种: 英文

摘要

Taking hm as the mesh width of a curved edge Гm (m = 1,..., d ) of polygons and using quadrature rules for weakly singular integrals, this paper presents mechanical quadrature methods for solving BIES of the first kind of plane elasticity Dirichlet problems on curved polygons, which possess high accuracy O(h30) and low computing complexities. Since multivariate asymptotic expansions of approximate errors with power hi3 (I = 1, 2,..., d) are shown, by means of the splitting extrapolations high precision approximations and a pos teriori estimate are obtained.