Model order reduction of quasi-static problems based on POD and PGD approaches

Thomas Henneron (1) , Stéphane Clenet (1)

1 L2EP - Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697

In order to reduce the computation time of a quasi-static problem solved by the nite element method, methods of model order reduction can be applied. In this context, two approaches, the Proper Orthogonal Decomposition and the Proper Generalized Decomposition, are applied to the vector potential formulation used to solve the quasi static problem. The developped methods are compared on an academic example.

Mots clés: Finite Element Method; Quasi static Fields; Model Reduction; POD; PGD; Electromagnetism

Domaines: Analyse numérique [math.NA]; Electromagnétisme

Thomas Henneron, Stéphane Clenet. Model order reduction of quasi-static problems based on POD and PGD approaches. European Physical Journal: Applied Physics, 2013, 5, pp.1-7. ⟨10.1051/epjap/2013120411⟩. ⟨hal-00851978⟩