solidot新版网站常见问题,请点击这里查看。
消息
本文已被查看2772次
A mixed finite element method for a sixth order elliptic problem. (arXiv:1710.02663v1 [math.NA])
来源于:arXiv
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. 查看全文>>