Title of article :
The adaptive immersed interface finite element method for elliptic and Maxwell interface problems
Author/Authors :
Chen، نويسنده , , Zhiming and Xiao، نويسنده , , Yuanming and Zhang، نويسنده , , Linbo، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2009
Abstract :
We propose self-adaptive finite element methods with error control for solving elliptic and electromagnetic problems with discontinuous coefficients. The meshes in the methods do not need to fit the interfaces. New error indicators are introduced to control the error due to non-body-fitted meshes. Flexible h-adaptive strategies are developed, which can be systematically extended to a large class of interface problems. Extensive numerical experiments are performed to support the theoretical results and to show the competitive behavior of the adaptive algorithm even for interfaces involving corner or tip singularities.
Keywords :
Non-body-fitted meshes , Elliptic equation , Maxwell’s equations , Adaptive finite element method , Interface problems
Journal title :
Journal of Computational Physics
Journal title :
Journal of Computational Physics