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Error Estimates for a Numerical Scheme for Ferromagnetic Problems

1999; Society for Industrial and Applied Mathematics; Volume: 36; Issue: 3 Linguagem: Inglês

10.1137/s0036142997324228

1095-7170

Peter Monk, Olivier Vacus,

Numerical methods in engineering

We propose a finite element method for approximating the nonlinear equations describing the electromagnetic field in a ferromagnetic material. Using energy arguments, we prove an optimal convergence rate for the method assuming a sufficiently smooth electromagnetic field. We also verify that the finite element solution satisfies various conservation conditions appropriate to the continuous problem. Finally, we provide some numerical examples.