A p-Strategy with a Local Time-Stepping Method in a Discontinuous Galerkin Approach to Solve Electromagnetic Problems. (30th July 2013)

• Record Type: Journal Article
• Authors: Mallet, Benoit; Ferrieres, Xavier; Pernet, Sebastien; Laurent, Jean-Baptiste; Pecqueux, Bernard; Seimandi, Pierre
• Other Names: Rukhlenko Ivan D. Academic Editor.
• Is Part Of: Journal of computational methods in physics. Volume 2013(2013)
• Publication Date: 2013-07-30
• Subjects: Physics -- Data processing -- Periodicals; Mathematical physics -- Data processing -- Periodicals; Mathematical physics -- Data processing; Physics -- Data processing; Electronic journals; Periodicals; Electronic journals; 530.0285
• DOI: 10.1155/2013/563480
• Languages: English
• ISSNs: 2356-7287

Abstract

Abstract : We present a local spatial approximation or p-strategy Discontinuous Galerkin method to solve the time-domain Maxwell equations. First, the Discontinuous Galerkin method with a local time-stepping strategy is recalled. Next, in order to increase the efficiency of the method, a local spatial approximation strategy is introduced and studied. While preserving accuracy and by using different spatial approximation orders for each cell, this strategy is very efficient to reduce the computational time and the required memory in numerical simulations using very distorted meshes. Several numerical examples are given to show the interest and the capacity of such method.