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 Peter Robert Kotiuga
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Electromagnetic theory and computation: a topological approach
PW Gross, PR Kotiuga
Cambridge University Press, 2004
2672004
On making cuts for magnetic scalar potentials in multiply connected regions
PR Kotiuga
Journal of Applied Physics 61 (8), 3916-3918, 1987
941987
Hodge decompositions and computational electromagnetics
PR Kotiuga
McGill University, 1984
751984
Data structures for geometric and topological aspects of finite element algorithms
PW Gross, PR Kotiuga
Progress in Electromagnetics Research 32, 151-169, 2001
462001
An algorithm to make cuts for magnetic scalar potentials in tetrahedral meshes based on the finite element method
PR Kotiuga
IEEE Transactions on Magnetics 25 (5), 4129-4131, 1989
441989
Helicity functionals and metric invariance in three dimensions
PR Kotiuga
IEEE transactions on magnetics 25 (4), 2813-2815, 1989
421989
Self-adjoint curl operators
R Hiptmair, PR Kotiuga, S Tordeux
Annali di matematica pura ed applicata 191 (3), 431-457, 2012
382012
Potential for computation in micromagnetics via topological conservation laws
PR Kotiuga, T Toffoli
Physica D: Nonlinear Phenomena 120 (1-2), 139-161, 1998
331998
Vector potential formulation for three‐dimensional magnetostatics
PR Kotiuga, PP Silvester
Journal of Applied Physics 53 (11), 8399-8401, 1982
311982
FINITE ELEMENT-BASED ALGORITHMS TO MAKE CUTS FOR MAGNETIC SCALAR POTENTIALS: TOPOLOGICAL CONSTRAINTS AND COMPUTATIONAL COMPLEXITY--Abstract
PW Gross, PR Kotiuga
Journal of electromagnetic waves and applications 15 (2), 253-256, 2001
302001
Toward an algorithm to make cuts for magnetic scalar potentials in finite element meshes
PR Kotiuga
Journal of Applied Physics 63 (8), 3357-3359, 1988
261988
The algebraic topology of Bloch points
PR Kotiuga
IEEE Transactions on magnetics 25 (5), 3476-3478, 1989
251989
Three‐dimensional micromagnetic simulations on the connection machine
RC Giles, PR Kotiuga, FB Humphrey
Journal of applied physics 67 (9), 5821-5823, 1990
241990
Clebsch potentials and the visualization of three-dimensional solenoidal vector fields
PR Kotiuga
IEEE Transactions on Magnetics 27 (5), 3986-3989, 1991
201991
Lower and upper bounds for the Rayleigh conductivity of a perforated plate
S Laurens, S Tordeux, A Bendali, M Fares, PR Kotiuga
ESAIM: Mathematical Modelling and Numerical Analysis-Modélisation …, 2013
162013
Topological considerations in coupling magnetic scalar potentials to stream functions describing surface currents
PR Kotiuga
IEEE transactions on magnetics 25 (4), 2925-2927, 1989
161989
Variational principles for three‐dimensional magnetostatics based on helicity
PR Kotiuga
Journal of Applied Physics 63 (8), 3360-3362, 1988
161988
Cuts for the magnetic scalar potential in knotted geometries and force-free magnetic fields
JC Crager, PR Kotiuga
IEEE transactions on magnetics 38 (2), 1309-1312, 2002
132002
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 …
PW Gross, PR Kotiuga
Electric and Magnetic Fields: From Numerical Models to Industrial …, 1995
131995
Magnetostatics with scalar potentials in multiply connected regions
PR Kotiuga, A Vourdas, KJ Binns
IEE Proceedings A (Physical Science, Measurement and Instrumentation …, 1990
131990
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