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
Gaithersburg
Tuesday, June 5, 2007 13:00-14:00,
Room 5000
Boulder
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. MitchellNote: Visitors from outside NIST must contact
Robin Bickel; (301) 975-3668;
at least 24 hours in advance.
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