Mixed Finite Element Methods on Nonmatching Multiblock Grids
نویسندگان
چکیده
We consider mixed nite element methods for second order elliptic equations on non-matching multiblock grids. A mortar nite element space is introduced on the non-matching interfaces. We approximate in this mortar space the trace of the solution, and we impose weakly a continuity of ux condition. A standard mixed nite element method is used within the blocks. Optimal order convergence is shown for both the solution and its ux. Moreover, at certain discrete points, superconvergence is obtained for the solution, and also for the ux in special cases. Computational results using an eecient parallel domain decomposition algorithm are presented in connrmation of the theory.
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عنوان ژورنال:
- SIAM J. Numerical Analysis
دوره 37 شماره
صفحات -
تاریخ انتشار 2000