New Domain Decomposition Algorithms from Old

Wednesday, December 1, 2010 - 2:45pm - 3:30pm
Keller 3-180
Olof Widlund (New York University)
In recent years, variants of the two-level Schwarz algorithm

have been developed in collaboration between Clark Dohrmann

of Sandia-Albuquerque and a group at the Courant Institute.

By a modification of the coarse component of the preconditioner,

borrowed in part from older domain decomposition methods

of iterative substructuring type, the new methods are easier

to implement for general subdomain geometries and can be made

insensitive to large variations on the coefficients of the partial

differential equation across the interface between the subdomains.

After an introduction to the design of these methods, results on

applications to almost incompressible elasticity and Reissner-Mindlin

plates - solved by using mixed finite elements - and problems

posed in H(div) and H(curl) will be discussed. Some of these results

will appear in the doctoral dissertations of Jong Ho Lee and Duk-soon

Oh, two PhD candidates at the Courant Institute.
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