3 papers
math.NA2024
On the convergence of higher order finite element methods for nonlinear magnetostatics
Herbert Egger, Felix Engertsberger, Bogdan Radu
The modeling of electric machines and power transformers typically involves systems of nonlinear magnetostatics or -quasistatics, and their efficient and accurate simulation is req…
math.NA2024
Global convergence of iterative solvers for problems of nonlinear magnetostatics
Herbert Egger, Felix Engertsberger, Bogdan Radu
We consider the convergence of iterative solvers for problems of nonlinear magnetostatics. Using the equivalence to an underlying minimization problem, we can establish global line…
math.NA2023
A Yee-like finite-element scheme for Maxwell's equations on unstructured grids
Herbert Egger, Bogdan Radu
A novel finite element scheme is studied for solving the time-dependent Maxwell's equations on unstructured grids efficiently. Similar to the traditional Yee scheme, the method has…