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Error analysis of the fictitious domain method for the arabolic problem

FU Hong-fei   

  1. School of Math. and System Sci., Shandong Uni., Jinan 250100, Shandong, China
  • Received:2006-11-21 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
  • Contact: FU Hong-fei

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Abstract: The fictitious domain method with the Lagrange multiplier is discussed and applied to solve a non homogeneous parabolic Dirichlet problem with a conforming finite element of degree one in a regular grid. Finally, error estimate in H1-norm is obtained for fully discrete schemes.

Key words: conforming finite element , fictitious domain, Lagrange multiplier

CLC Number: 

  • O241.82
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