4.5 Article

Optimal convergence analysis of an immersed interface finite element method

Journal

ADVANCES IN COMPUTATIONAL MATHEMATICS
Volume 33, Issue 2, Pages 149-168

Publisher

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

Keywords

Immersed interface; Finite element method; Uniform grid

Funding

  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)

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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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