A Space-Time Finite Element Method for the Eddy Current Approximation of Rotating Electric Machines

• Published in: Journal of computational methods in applied mathematics Vol. 25; no. 2; pp. 441 - 457
• Main Authors: Gangl, Peter, Gobrial, Mario, Steinbach, Olaf
• Format: Journal Article
• Language: English
• Published: Minsk De Gruyter 01.04.2025; Walter de Gruyter GmbH
• Subjects: 35K05; 35Q60; 65M60; 65Z05; Algorithms; Approximation; Eddy Current Approximation; Eddy currents; Finite element method; Mathematical analysis; Mathematics; Maxwell Equations; Maxwell's equations; Parallel processing; Relativity; Rotating machinery; Rotation; Space-Time Finite Element Method; Time domain analysis

In this paper we formulate and analyze a space-time finite element method for the numerical simulation of rotating electric machines where the finite element mesh is fixed in a space-time domain. Based on the Babuška–Nečas theory we prove unique solvability both for the continuous variational formul...