Year: 2005
Journal of Computational Mathematics, Vol. 23 (2005), Iss. 5 : pp. 537–560
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2005-JCM-8838
Journal of Computational Mathematics, Vol. 23 (2005), Iss. 5 : pp. 537–560
Published online: 2005-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 24
Keywords: Mortar method Nonlinear biharmonic equation $H^1$-norm error Energy norm error.