Boundary penalty finite element methods for blending surfaces. II: Biharmonic equations
type: Item
instance of: scholarly article
title: Boundary penalty finite element methods for blending surfaces. II: Biharmonic equations
zbMATH Open document ID: 0942.65134
DOI: 10.1016/S0377-0427(99)00208-3
author: Yanyan Li
published in: Journal of Computational and Applied Mathematics
publication date: 2000-08-21T00:00:00Z
review text: This paper is a continuation of the author's paper [J. Comput. Math. 16, No. 5, 457-480 (1998; Zbl 0921.65010)]. Now, the boundary penalty finite element method is applied to the special biharmonic equation \[ \Delta^2 u=\Biggl({\partial^2\over\partial r^2}+ {\partial^2\over\partial t^2}\Biggr)^2 u= f,\quad (r,t)\in \Omega \] on the unit square \(\Omega\). Theoretical results concerning the error analysis and numerical stability of the method are proved, and the results of some numerical tests are presented. The paper will be continued.
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 35J40
zbMATH DE Number: 1367874
zbMATH Keywords: blending surface
zbMATH Keywords: boundary penalty finite element method
zbMATH Keywords: biharmonic equation
zbMATH Keywords: error analysis
zbMATH Keywords: stability
zbMATH Keywords: numerical tests
reviewed by: Guido Walz
MaRDI profile type: Publication
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full work available at URL: s0377-0427(99)00208-3
OpenAlex ID: W2058511943
description: scientific article; zbMATH DE number 1367874