Electromagnetic theory and computation: a topological approach PW Gross, PR Kotiuga Cambridge University Press, 2004 | 283 | 2004 |
On making cuts for magnetic scalar potentials in multiply connected regions PR Kotiuga Journal of Applied Physics 61 (8), 3916-3918, 1987 | 94 | 1987 |
Hodge decompositions and computational electromagnetics PR Kotiuga McGill University, 1984 | 77 | 1984 |
Helicity functionals and metric invariance in three dimensions PR Kotiuga IEEE transactions on magnetics 25 (4), 2813-2815, 1989 | 47 | 1989 |
Data structures for geometric and topological aspects of finite element algorithms PW Gross, PR Kotiuga Progress in Electromagnetics Research 32, 151-169, 2001 | 46 | 2001 |
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 | 44 | 1989 |
Self-adjoint curl operators R Hiptmair, PR Kotiuga, S Tordeux Annali di matematica pura ed applicata 191 (3), 431-457, 2012 | 42 | 2012 |
Potential for computation in micromagnetics via topological conservation laws PR Kotiuga, T Toffoli Physica D: Nonlinear Phenomena 120 (1-2), 139-161, 1998 | 33 | 1998 |
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 | 30 | 2001 |
Vector potential formulation for three‐dimensional magnetostatics PR Kotiuga, PP Silvester Journal of Applied Physics 53 (11), 8399-8401, 1982 | 30 | 1982 |
Three-dimensional micromagnetic simulations on the connection machine RC Giles, PR Kotiuga, FB Humphrey Journal of applied physics 67 (9), 5821-5823, 1990 | 29 | 1990 |
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 | 27 | 1988 |
The algebraic topology of Bloch points PR Kotiuga IEEE Transactions on magnetics 25 (5), 3476-3478, 1989 | 23 | 1989 |
Clebsch potentials and the visualization of three-dimensional solenoidal vector fields PR Kotiuga IEEE Transactions on Magnetics 27 (5), 3986-3989, 1991 | 20 | 1991 |
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 | 16 | 2013 |
Topological considerations in coupling magnetic scalar potentials to stream functions describing surface currents PR Kotiuga IEEE transactions on magnetics 25 (4), 2925-2927, 1989 | 16 | 1989 |
Variational principles for three‐dimensional magnetostatics based on helicity PR Kotiuga Journal of Applied Physics 63 (8), 3360-3362, 1988 | 16 | 1988 |
Theoretical limitations of discrete exterior calculus in the context of computational electromagnetics PR Kotiuga IEEE Transactions on Magnetics 44 (6), 1162-1165, 2008 | 15 | 2008 |
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 | 13 | 2002 |
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 | 13 | 1995 |