Abstract
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.
Original language | English |
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Pages (from-to) | 35-49 |
Number of pages | 15 |
Journal | Journal of Computational and Applied Mathematics |
Volume | 299 |
DOIs | |
Publication status | Published - 2016 Jun |
Bibliographical note
Funding Information:This work was supported by NRF grant 2015 R1A5A1009350 .
All Science Journal Classification (ASJC) codes
- Computational Mathematics
- Applied Mathematics