This paper concerns Poisson equation in a polyhedral domain with corners and edges. We apply the least-squares finite element method to the reformulated first-order system of Poisson equation. To overcome the difficulties from boundary singularities, a weighted-norm technique is used to define the least-squares functional. The method prevents the loss of global accuracy. Numerical simulations are given to demonstrate the theoretical estimates.
Bibliographical noteFunding Information:
This work was supported by NRF grant 2015 R1A5A1009350 .
© 2015 Elsevier B.V. All rights reserved.
All Science Journal Classification (ASJC) codes
- Computational Mathematics
- Applied Mathematics