Adaptive Computation of the Corner Singularity with the Monotone Jump Condition Capturing Scheme

نویسندگان

  • Yin-Liang Huang
  • Wei-Cheng Wang
  • WEI-CHENG WANG
چکیده

We introduce a simple finite difference scheme for the elliptic interface problem. The scheme is symmetric, definite and monotone with second order accuracy. It is also quite naturally adapted to corner singularities. A simple adaptive strategy yields competitive performance even in the severe case of intersecting interfaces.

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تاریخ انتشار 2005