THE MORTAR ELEMENT METHOD FOR A NONLINEAR BIHARMONIC EQUATION

• 来源期刊: 计算数学（英文版）
• 关键词: Mortar method Nonlinear biharmonic equation H1-norm error Energy normerror.
• 年，卷（期）: 2005,（5）
• 页码范围: 537-560
• 页数: 24页
• 语种: 英文

摘要

The mortar element method is a new domain decomposition method(DDM) with nonoverlapping subdomains. It can handle the situation where the mesh on different subdomains need not align across interfaces, and the matching of discretizations on adjacent subdomains is only enforced weakly. But until now there has been very little work for nonlinear PDEs. In this paper, we will present a mortar-type Morley element method for a nonlinear biharmonic equation which is related to the well-known Navier-Stokes equation. Optimal energy and H1-norm estimates are obtained under a reasonable elliptic regularity assumption.