A Family of Methods of the DG-Morley Type for Polyharmonic Equations

作     者：Vitoriano Ruas Jose Henrique Carneiro De Araujo 

作者机构：UPMC-Univ.Paris 6UMR7190 Inst.Jean Le Rond d’Alembert/CNRSParisFrance Visiting Professor at Graduate School of Computer ScienceUniversidade Federal FluminenseNiteròiRJBrazil Department and Graduate School of Computer ScienceUniversidade Federal FluminenseNiteròiRJBrazil 

出 版 物：《Advances in Applied Mathematics and Mechanics》 (应用数学与力学进展（英文）)

年 卷 期：2010年第2卷第3期

页      面：303-332页

核心收录：

学科分类：07[理学] 0802[工学-机械工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 070101[理学-基础数学] 

基　　金：They also gratefully acknowledge the financial support provided by CNPq the Brazilian National Research Council through grants 307996/2008-5 and 304518/2002-6 

主　　题：Discontinuous Galerkin finite elements Hermite tetrahedrons Morley triangle non-conforming polyharmonic equations 

摘      要：Discontinuous Galerkin methods as a solution technique of second order elliptic problems,have been increasingly exploited by several authors in the past ten *** is generally claimed the alledged attractive geometrical flexibility of these methods,although they involve considerable increase of computational effort,as compared to continuous *** work is aimed at proposing a combination of DGM and non-conforming finite element methods to solve elliptic m-harmonic equations in a bounded domain of R^(n),for n=2 or n=3,with m≥n+1,as a valid and reasonable alternative to classical finite elements,or even to boundary element methods.