RIS ID
134455
Abstract
We consider a saddle-point formulation for a sixth-order partial differential equation and its finite element approximation, for two sets of boundary conditions. We follow the Ciarlet-Raviart formulation for the biharmonic problem to formulate our saddle-point problem and the finite element method. The new formulation allows us to use the H 1 -conforming Lagrange finite element spaces to approximate the solution. We prove a priori error estimates for our approach. Numerical results are presented for linear and quadratic finite element methods.
Grant Number
ARC/DP150100375
Grant Number
ARC/DP120100097
Publication Details
Droniou, J., Ilyas, M., Lamichhane, B. P. & Wheeler, G. E. (2019). A mixed finite element method for a sixth-order elliptic problem. IMA Journal of Numerical Analysis, 39 (1), 374-397.