A new three-field formulation of the biharmonic problem and its finite element discretization

Title: A new three-field formulation of the biharmonic problem and its finite element discretization
Creator: Banz, Lothar; Lamichhane, Bishnu P.; Stephan, Ernst P.
Relation: Numerical Methods for Partial Differential Equations Vol. 33, Issue 1, p. 199-217
Publisher Link: http://dx.doi.org/10.1002/num.22082
Publisher: John Wiley & Sons
Resource Type: journal article
Date: 2017
Description: We consider a new three‐field formulation of the biharmonic problem. The solution, the gradient and the Lagrange multiplier are the three unknowns in the formulation. Adding a stabilization term in the discrete setting we can use the standard Lagrange finite element to discretize the solution, whereas we use the Raviart‐Thomas finite element to discretize the gradient. The Lagrange multipliers are constructed to achieve the optimal error estimate. Numerical results are presented to demonstrate the performance of our approach.
Subject: a posteriori error estimate; biharmonic problem; mixed finite elements
Identifier: http://hdl.handle.net/1959.13/1391256
Identifier: uon:33191
Identifier: ISSN:0749-159X
Language: eng
Reviewed

		Thumbnail	File	Description	Size	Format