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

• 来源期刊: 计算数学(英文版)
• 关键词: Adaptive edge elements 3D eddy currents equations Convergence analysis Error and oscillation reduction Residual type a posteriori error estimates
• 年，卷（期）: 2009,（5）
• 页码范围: 657-676
• 页数: 20页
• 语种: 英文
• DOI: 10.4208/jcm.2009.27.5.016

摘要

We consider an Adaptive Edge Finite Element Method (AEFEM) for the 3D eddy cur-rents 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.