P1-NONCONFORMING QUADRILATERAL FINITE VOLUME ELEMENT METHOD AND ITS CASCADIC MULTIGRID ALGORITHM FOR ELLIPTIC PROBLEMS

• 来源期刊: 计算数学（英文版）
• 关键词: finite volume element method cascadic multigrid Elliptic problems.
• 年，卷（期）: 2006,（1）
• 页码范围: 59-80
• 页数: 22页
• 语种: 英文

摘要

In this paper, we discuss the finite volume element method of P1-nonconforming quadrilateral element for elliptic problems and obtain optimal error estimates for general quadrilateral partition. An optimal cascadic multigrid algorithm is proposed to solve the nonsymmetric large-scale system resulting from such discretization. Numerical experiments are reported to support our theoretical results.