Journal
MATHEMATICS OF COMPUTATION
Volume 85, Issue 301, Pages 2071-2098Publisher
AMER MATHEMATICAL SOC
DOI: 10.1090/mcom3051
Keywords
Interface problems; finite elements; pointwise estimates
Categories
Funding
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1318108] Funding Source: National Science Foundation
Ask authors/readers for more resources
We define piecewise linear and continuous finite element methods for a class of interface problems in two dimensions. Correction terms are added to the right-hand side of the natural method to render it second-order accurate. We prove that the method is second-order accurate on general quasi-uniform meshes at the nodal points. Finally, we show that the natural method, although non-optimal near the interface, is optimal for points O(root h log(1/h)) away from the interface.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available