A mixed finite element method for the biharmonic problem using biorthogonal or quasi-biorthogonal systems

Title: A mixed finite element method for the biharmonic problem using biorthogonal or quasi-biorthogonal systems
Creator: Lamichhane, Bishnu P.
Relation: Journal of Scientific Computing Vol. 46, Issue 3, p. 379-396
Publisher Link: http://dx.doi.org/10.1007/s10915-010-9409-7
Publisher: Springer
Resource Type: journal article
Date: 2011
Description: 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.
Subject: biharmonic problem; mixed finite elements; biorthogonal or quasi-biorthogonal system
Identifier: http://hdl.handle.net/1959.13/936934
Identifier: uon:12445
Identifier: ISSN:0885-7474
Language: eng
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