# Lean Cohomology Computation for Electromagnetic Modeling

@article{Dlotko2018LeanCC, title={Lean Cohomology Computation for Electromagnetic Modeling}, author={Pawel Dlotko and Bernard Kapidani and Ruben Specogna}, journal={IEEE Transactions on Magnetics}, year={2018}, volume={54}, pages={1-4} }

Solving eddy current problems formulated by using a magnetic scalar potential in the insulator requires a topological pre-processing to find the so-called first cohomology basis of the insulating region, which may be very time-consuming for challenging industrially driven problems. The physics-inspired Dłotko–Specogna (DS) algorithm was shown to be superior to alternatives in performing such a topological pre-processing. Yet, the DS algorithm is particularly fast when it produces as output not…

## 5 Citations

Fake Conductivity or Cohomology: Which to Use When Solving Eddy Current Problems With $h$ -Formulations?

- PhysicsIEEE Transactions on Magnetics
- 2019

There are two ways of solving eddy current problems with an edge element <inline-formula> <tex-math notation="LaTeX">$h$ </tex-math></inline-formula>-conforming formulation in the case of…

- Formulation with Higher-Order Hierarchical Basis Functions for Nonsimply Connected Conductors

- Mathematics
- 2018

This paper presents in detail the extension of the - formulation for eddy currents based on higher-order hierarchical basis functions so that it can automatically deal with conductors of arbitrary…

Tree-Cotree Decomposition of Isogeometric Mortared Spaces in H(curl) on Multi-Patch Domains

- Computer ScienceComputer Methods in Applied Mechanics and Engineering
- 2022

T-Ω formulation with higher order hierarchical basis functions for non simply connected conductors

- Mathematics2016 IEEE Conference on Electromagnetic Field Computation (CEFC)
- 2016

This paper extends the T-Ω formulation for eddy currents based on higher order hierarchical basis functions so that it can deal with conductors of arbitrary topology. To this aim we supplement the…

Fake Conductivity or Cohomology: Which to Use When Solving Eddy Current Problems With <inline-formula> <tex-math notation="LaTeX">$h$ </tex-math></inline-formula>-Formulations?

- 2019

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