Numerical Analysis Seminar Talk, September 18, 1996
Speaker:
Dr. Ivan Yotov, TICAM, University of Texas, Austin
Title:
Mixed Finite Element Methods on Non-matching Multiblock Grids
Time:
4:00pm, Wednesday, September 18, 1996
Place:
503 Blocker
Abstract:
In this talk we consider mixed finite element methods for
second order elliptic problems on multiblock domains with
non-matching grids. A mortar finite element space is introduced
on the non-matching interfaces. A continuity of flux condition
is imposed weakly, and the trace of the solution is approximated
in this mortar space. A standard mixed finite element method
is used within the blocks. Optimal order convergence is shown for
both the solution and its flux. Moreover, at certain discrete points,
superconvergence is obtained for the solution, and also for the flux
in special cases. Computational results using an efficient parallel
domain decomposition algorithm are given in confirmation of the
theory. Some applications to flow in porous media on domains with
faults and local grid refinement around wells are also presented.
