Paul Gross
Phone: 510/643-6051
Fax: 510/642-8609
Ph.D. Thesis: Efficient finite element-based algorithms for topological
aspects of 3-dimensional magnetoquasistatic problems (Boston University,
May 1998) Abstract
If you would like a copy of my thesis, please contact me. |
Publications and Preprints:
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P.R. Kotiuga, Gang Xie, P.W. Gross, A comparison of Cholesky factorization and CGM for solving finite element matrix equations, submitted.
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P.W. Gross and P.R. Kotiuga, Finite element-based algorithms to make
cuts for magnetic scalar potentials: Topological constraints and computational
complexity, submitted for publication. Abstract
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P.W. Gross and P.R. Kotiuga, Data structures for geometric and topological
aspects of finite element algorithms, submitted for publication. Abstract
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M. Redjdal, P.W. Gross, A. Kazmi and F.B. Humphrey, Switching dependence on
fabrication accuracy of tapered ends of a single GMR memory cell in word
disturb condition, Journal of Applied Physics, 33, (8), 1999.
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M. Redjdal, P.W. Gross and F.B. Humphrey, Structure and dynamics of
a single 2 \pi VBL in a magnetic domain wall, IEEE Trans. Mag., 33
(1997), pp.3999-4001.
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P.W. Gross and P.R. Kotiuga, A challenge for magnetic scalar potential
formulations of 3-d eddy current problems: Multiply connected cuts in multiply
connected regions which necessarily leave the cut complement multiply connected,
in Proceedings of the Second International Workshop on Electric and Magnetic
Fields, A. Nicolet and R. Belmans, eds., London, 1996, Plenum, pp.1-20.
Abstract
In Progress:
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P.R. Kotiuga and P.W. Gross, Topological Methods In Computational
Electromagnetism, book to be published by Cambridge University Press in MSRI series, Summer/Fall 2000.
- Evaluating relative merits of direct and semidirect solvers via nodal analysis factorizations of finite element stiffness matrices(with P.R. Kotiuga).
Visualizations
"Cuts" (Seifert surfaces) for a current-carrying trefoil knot,
computed on a tetrahedral discretization of the trefoil knot complement.
Cuts for Borromean Rings: Movie
and assorted still images.
Scientific Computing
and Visualization Group at Boston University
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Everything sufficiently beautiful is connected
to all other beautiful things!
Follow the beauty and you will learn all the coolest stuff.
The Platonic solids are a nice place to start.
- John
Baez -
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