Peter Robert Kotiuga
Title
Cited by
Cited by
Year
Electromagnetic theory and computation: a topological approach
PW Gross, PW Gross, PR Kotiuga, RP Kotiuga
Cambridge University Press, 2004
2442004
On making cuts for magnetic scalar potentials in multiply connected regions
PR Kotiuga
Journal of Applied Physics 61 (8), 3916-3918, 1987
861987
Hodge decompositions and computational electromagnetics
PR Kotiuga
McGill University, 1984
781984
Data structures for geometric and topological aspects of finite element algorithms
PW Gross, PR Kotiuga
Progress in Electromagnetics Research 32, 151-169, 2001
432001
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
421989
Helicity functionals and metric invariance in three dimensions
PR Kotiuga
IEEE transactions on magnetics 25 (4), 2813-2815, 1989
421989
Potential for computation in micromagnetics via topological conservation laws
PR Kotiuga, T Toffoli
Physica D: Nonlinear Phenomena 120 (1-2), 139-161, 1998
361998
Self-adjoint curl operators
R Hiptmair, PR Kotiuga, S Tordeux
Annali di matematica pura ed applicata 191 (3), 431-457, 2012
352012
Vector potential formulation for three‐dimensional magnetostatics
PR Kotiuga, PP Silvester
Journal of Applied Physics 53 (11), 8399-8401, 1982
321982
Three‐dimensional micromagnetic simulations on the connection machine
RC Giles, PR Kotiuga, FB Humphrey
Journal of applied physics 67 (9), 5821-5823, 1990
311990
Finite element-based algorithms to make cuts for magnetic scalar potentials: Topological constraints and computational complexity
PW Gross, PR Kotiuga
Progress In Electromagnetics Research 32, 207-245, 2001
272001
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
271988
The algebraic topology of Bloch points
PR Kotiuga
IEEE Transactions on magnetics 25 (5), 3476-3478, 1989
221989
Clebsch potentials and the visualization of three-dimensional solenoidal vector fields
PR Kotiuga
IEEE Transactions on Magnetics 27 (5), 3986-3989, 1991
191991
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 47 (6), 1691-1712, 2013
152013
Topological considerations in coupling magnetic scalar potentials to stream functions describing surface currents
PR Kotiuga
IEEE transactions on magnetics 25 (4), 2925-2927, 1989
151989
Variational principles for three‐dimensional magnetostatics based on helicity
PR Kotiuga
Journal of Applied Physics 63 (8), 3360-3362, 1988
151988
Magnetostatics with scalar potentials in multiply connected regions
PR Kotiuga
IEE Proceedings A-Physical Science, Measurement and Instrumentation …, 1990
131990
Topological duality in three‐dimensional eddy‐current problems and its role in computer‐aided problem formulation
PR Kotiuga
Journal of applied physics 67 (9), 4717-4719, 1990
131990
Analysis of finite‐element matrices arising from discretizations of helicity functionals
PR Kotiuga
Journal of applied physics 67 (9), 5815-5817, 1990
121990
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