A C-0-weak Galerkin finite element method for fourth-order elliptic problems

作者：Chen, Gang; Feng, Minfu^*

来源：Numerical Methods for Partial Differential Equations, 2016, 32(3): 1090-1104.

DOI：10.1002/num.22050

• biharmonic equations
• C-0-weak Galerkin
• finite element method
• a priori error estimates

This article proposes and analyzes a C-0-weak Galerkin (WG) finite element method for solving the biharmonic equation in two-dimensional and three-dimensional. The new WG method uses continuous piecewise-polynomial approximations of degree k + 2 (k >= 0) for the unknown u and discontinuous piecewise-polynomial approximations of degree k for the trace of del u on the interelement boundaries. Optimal error estimates are obtained in H-2, H-1, and L-2 norms. Numerical experiments illustrate and confirm the theoretical results.

• 出版日期2016-5
• 单位四川大学