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L. Zikatanov
Penn State
A multigrid method for harmonic map problem.
The talk will be on the development of efficient multigrid methods
for harmonic map problem. The problem is highly nonlinear and also posed in
three spatial dimensions, which makes the use of traditional numerical methods
not practical. Our approach is based on the subspace correction method and uses
several energy minimizations per iteration, each minimization is corresponding
to a different scale (grid). We hope that such a method can be impelmented very
efficiently and is possible to solve numerically practical liquid crystal
problems.
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