THE OPTIMAL CONVERGENCE ORDER OF THE DISCONTINUOUS FINITE ELEMENT METHODS FOR FIRST ORDER HYPERBOLIC SYSTEMS

• 来源期刊: 计算数学（英文版）
• 关键词: First order hyperbolic systems Discontinuous finite element method Conver-gence order estimate
• 年，卷（期）: 2008,（5）
• 页码范围: 689-701
• 页数: 13页
• 语种: 英文

摘要

In this paper, a discontinuous finite element method for the positive and symmetric, first-order hyperbolic systems (steady and nonsteady state) is constructed and analyzed by using linear triangle elements, and the (h2)-order optimal error estimates are derived under the assumption of strongly regular triangulation and the H3-regularity for the exact solutions. The convergence analysis is based on some superclose estimates of the inter-polation approximation. Finally, we discuss the Maxwell equations in a two-dimensional domain, and numerical experiments are given to validate the theoretical results.