The maximum angle condition in the finite element method
for monotone problems with applications
in magnetostatics |
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Authors: | Alexander Ženíšek |
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Institution: | (1) Department of Mathematics, Technical University, Technická 2, 616 69 Brno, Czech Republic , CS |
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Abstract: | Summary.
The finite element method for an elliptic equation with discontinuous
coefficients (obtained for the magnetic potential from Maxwell's
equations) is analyzed in the union of closed domains the boundaries
of which form a system of three circles with the same centre.
As the middle domain is very narrow the triangulations obeying
the maximum angle condition are considered. In the case of piecewise
linear trial functions the maximum rate of
convergence in the norm
of the space is proved
under the following conditions:
1. the exact solution
is piecewise of class ;
2. the family of subtriangulations
of the narrow
subdomain satisfies the maximum angle condition
expressed by relation (38). The paper extends the results of 24].
Received
March 8, 1993 / Revised version received November 28, 1994 |
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Keywords: | Mathematics Subject Classification (1991):65N30 |
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