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
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.
Oh, two PhD candidates at the Courant Institute.
MSC Code:
65M55
Keywords: