ADAPTIVITY IN SPACE AND TIME FOR MAGNETOQUASISTATICS

• 来源期刊: 计算数学(英文版)
• 关键词: Magnetoquasistatics Space-time adaptivity Edge elements Rosenbrock meth-ods Hierarchical error estimator SRC benchmark problem
• 年，卷（期）: 2009,（5）
• 页码范围: 642-656
• 页数: 15页
• 语种: 英文
• DOI: 10.4208/jcm.2009.27.5.015

摘要

This paper addresses fully space-time adaptive magnetic field computations. We de-scribe an adaptive Whitney finite element method for solving the magnetoquasistatic for-mulation of Maxwell's equations on unstructured 3D tetrahedral grids. Spatial mesh re-finement and coarsening are based on hierarchical error estimators especially designed for combining tetrahedral H (curl)-conforming edge elements in space with linearly implicit Rosenbrock methods in time. An embedding technique is applied to get efficiency in time through variable time steps. Finally, we present numerical results for the magnetic recording write head benchmark problem proposed by the Storage Research Consortium in Japan.