CONVERGENCE OF ADAPTIVE EDGE ELEMENT METHODS FOR THE 3D EDDY CURRENTS EQUATIONS

作     者：R.H.W.Hoppe J.Schberl 

作者机构：Institut fur MathematikUniversitat AugsburgD-86159AugsburgGermanyand Department of MathematicsUniversity of HoustonHoustonTX 77204-3008USA Dept.for Mathematics CCES(Center for Computational Engineering Science)RWTH AachenD-52074 AachenGermany 

出 版 物：《Journal of Computational Mathematics》 (计算数学（英文）)

年 卷 期：2009年第27卷第5期

页      面：657-676页

核心收录：

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：The work of the first author was supported by the NSF under Grant No.DMS-0411403 and Grant No.DMS-0511611 The second author acknowledges the support from the Austrian Science Foundation(FWF)under Grant No.Start Y-192 Both authors acknowledge support and the inspiring athmosphere at the Johann Radon Institute for Computational and Applied Mathematics(RICAM),Linz,Austria,during the special semester on computational mechanics 

主　　题：Adaptive edge elements 3D eddy currents equations Convergence analysis,Error and oscillation reduction Residual type a posteriori error estimates. 

摘      要：We consider an Adaptive Edge Finite Element Method （AEFEM） for the 3D eddy currents equations with variable coefficients using a residual-type a posteriori error estimator. Both the components of the estimator and certain oscillation terms, due to the occurrence of the variable coefficients, have to be controlled properly within the adaptive loop which is taken care of by appropriate bulk criteria. Convergence of the AEFEM in terms of reductions of the energy norm of the discretization error and of the oscillations is shown. Numerical results are given to illustrate the performance of the AEFEM.