Model order reduction of quasi-static problems based on POD and PGD approaches
Article dans une revue avec comité de lecture
Author
HENNERON, Thomas 
CLENET, StephaneAbstract
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.
Files in this item
Related items
Showing items related by title, author, creator and subject.
-
Article dans une revue avec comité de lecture; ; ;CLENET, Stephane (Wydawnictwo Czasopism i Ksia̜żek Technicznych Sigma, 2015)
The modelling of a multirate system -composed of components with heterogeneous time constants- can be done using fixed-point method. This method allows a time-discretization of each subsystem with respect to its own time ...
-
Model-Order Reduction of Magnetoquasi-Static Problems Based on POD and Arnoldi-Based Krylov Methods Communication avec acte; ; ;CLENET, Stephane (IEEE, 2015)
The proper orthogonal decomposition method and Arnoldi-based Krylov projection method are investigated in order to reduce a finite-element model of a quasi-static problem. Both methods are compared on an academic example ...
-
Article dans une revue avec comité de lecture; ; ;CLENET, Stephane (Institute of Electrical and Electronics Engineers, 2016)
To study a multirate system, each subsystem can be solved by a dedicated sofware with respect to the physical problem and the time constant. Then, the problem is the coupling of the solutions of the subsystems. The Waveform ...
-
Article dans une revue avec comité de lecture; ; ;CLENET, Stephane (Institute of Electrical and Electronics Engineers, 2014)
We present an optimization problem that requires to model a multirate system, composed of subsystems with different time constants. We use waveform relaxation method in order to simulate such a system. But computation time ...
-
Article dans une revue avec comité de lecture;CLENET, Stephane (Institute of Electrical and Electronics Engineers, 2016)
To solve a parametric model in computational electromagnetics, the Finite Element method is often used. To reduce the computational time and the memory requirement, the Finite Element method can be combined with Model Order ...