4.5 Article

Optimal convergence analysis of an immersed interface finite element method

期刊

ADVANCES IN COMPUTATIONAL MATHEMATICS
卷 33, 期 2, 页码 149-168

出版社

SPRINGER
DOI: 10.1007/s10444-009-9122-y

关键词

Immersed interface; Finite element method; Uniform grid

资金

  1. KOSEF [R01-2007-000-10062-0]
  2. National Research Foundation of Korea [R01-2007-000-10062-0] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)

向作者/读者索取更多资源

We analyze an immersed interface finite element method based on linear polynomials on noninterface triangular elements and piecewise linear polynomials on interface triangular elements. The flux jump condition is weakly enforced on the smooth interface. Optimal error estimates are derived in the broken H-1-norm and L-2-norm.

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