A Mixed Finite Element Method for the Biharmonic Problem Using Biorthogonal or Quasi-Biorthogonal Systems

被引：0

作者：

Bishnu P. Lamichhane

机构：

[1] University of Newcastle,School of Mathematical & Physical Sciences

[2] Australian National University,Mathematical Sciences Institute

来源：

Journal of Scientific Computing | 2011年 / 46卷

关键词：

Biharmonic problem; Mixed finite elements; Biorthogonal or quasi-biorthogonal system;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider a finite element method based on biorthogonal or quasi-biorthogonal systems for the biharmonic problem. The method is based on the primal mixed finite element method due to Ciarlet and Raviart for the biharmonic equation. Using different finite element spaces for the stream function and vorticity, this approach leads to a formulation only based on the stream function. We prove optimal a priori estimates for both stream function and vorticity, and present numerical results to demonstrate the efficiency of the approach.

引用

页码：379 / 396

页数：17

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