ITLApplied  Computational Mathematics Division
ACMD Seminar Series
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Multigrid Analysis of H_1, H(curl) and H(div) Systems for Locally Adapted Grids

Long Chen
University of Maryland, Department of Mathematics

Tuesday, June 5, 2007 15:00-16:00,
Building 225, Room B111
Tuesday, June 5, 2007 13:00-14:00,
Room 5000

Abstract: In this talk, a number of optimal convergence results will be reported for multigrid methods on locally adaptive grids obtained by bisection in 2-D and 3-D. Both BPX preconditioner and V-cycle multigrid methods will be considered for H_1, H(curl) and H(div) systems. A novel decomposition of spaces based on the geometric structure of bisection will be used to bridge the gap between this and the well-established theory on quasi-uniform grids. This is joint work with Ricardo Nochetto and Jinchao Xu.

Speaker Bio: Long Chen is a Postdoctoral Fellow in the Mathematics Department at the the University of Maryland. He received a B.S. in Mathematics from Nanjing University in 1997, an M.S. in Mathematics from Peking University in 2000, and a Ph.D in Applied Mathematics from Pennsylvania State University in 2005. From Sept. 2005 to Aug. 2006 he was a Postdoctoral Fellow in the Department of Mathematics at the University of California, San Diego. His research interests include numerical approximation of partial differential equations, theory and application of adaptive finite element methods, design and analysis of multigrid methods, and grid generation and computational geometry. His publications have appeared in Journal of Computational Mathematics, Journal of Approximation Theory, and International Journal of Numerical Analysis and Modeling.

Contact: W. F. Mitchell

Note: Visitors from outside NIST must contact Robin Bickel; (301) 975-3668; at least 24 hours in advance.

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