How to train AI models using physics simulators
blogEdge Elements: How FEM Solvers Represent Electromagnetic FieldsA brief introduction to Nédélec edge elements and why standard electromagnetic simulation needs edge-based degrees of freedom.byChristopher BryantOct 1, 202610 min readAt Arena Physica, we're building a foundation model for electromagnetism (EM). To do that, we first need to generate a huge amount of training data from traditional simulation tools like FEM solvers. These solvers chop up the world into a mesh of small pieces and directly solve the differential equations governing electromagnetism within those pieces.
- ▪blogEdge Elements: How FEM Solvers Represent Electromagnetic FieldsA brief introduction to Nédélec edge elements and why standard electromagnetic simulation needs edge-based degrees of freedom.byChristopher BryantOct 1, 202610 min readAt Ar
- ▪To do that, we first need to generate a huge amount of training data from traditional simulation tools like FEM solvers.
- ▪These solvers chop up the world into a mesh of small pieces and directly solve the differential equations governing electromagnetism within those pieces.
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| Canonical URL | https://www.arenaphysica.com/publications/fem-edge-elements |
| Publication time | Fri, 02 Oct 2026 13:10:57 +0000 |
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blogEdge Elements: How FEM Solvers Represent Electromagnetic FieldsA brief introduction to Nédélec edge elements and why standard electromagnetic simulation needs edge-based degrees of freedom.byChristopher BryantOct 1, 202610 min readAt Arena Physica, we're building a foundation model for electromagnetism (EM). To do that, we first need to generate a huge amount of training data from traditional simulation tools like FEM solvers. These solvers chop up the world into a mesh of small pieces and directly solve the differential equations governing electromagnetism within those pieces. However, when we first started collecting training data, we ran into a simple problem: once the FEM solver finished its solve, we didn't know how to extract all the available field values from the solution.
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