期刊
MATHEMATICS OF COMPUTATION
卷 85, 期 301, 页码 2071-2098出版社
AMER MATHEMATICAL SOC
DOI: 10.1090/mcom3051
关键词
Interface problems; finite elements; pointwise estimates
资金
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1318108] Funding Source: National Science Foundation
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.
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