中文摘要：

臼元素方法是新领域分解方法(DDM )舔 withnonover 子域。它能处理不同子域上的网孔不必越过接口，并且在邻近的子域上匹配 discretizations 排列的状况仅仅微弱地被强制。但是直到现在，为非线性的 PDE 有很小的工作。在这篇论文，我们将为与著名海军司烧方程有关的一个非线性的双性人泛音方程介绍一个臼类型莫利元素方法。最佳的精力和 H~1 标准估计在一个合理椭圆形的整齐假设下面被获得。

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 H^1-norm estimates are obtained under a reasonable elliptic regularity assumption.