Implementation of LDG method for 3D unstructured meshes

This paper describes an implementation of the Local Discontinuous Galerkin method (LDG) applied to elliptic problems in 3D. The implementation of the major operators is discussed. In particular the use of higher-order approximations and unstructured meshes. Efficient data structures that allow fast...

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Main Authors: Sequeira Chavarría, Filander A., Castillo, Paul E.
Format: Artículo
Language: Español
Published: 2015
Online Access: http://revistas.ucr.ac.cr/index.php/matematica/article/view/1330
http://hdl.handle.net/10669/13014
Summary: This paper describes an implementation of the Local Discontinuous Galerkin method (LDG) applied to elliptic problems in 3D. The implementation of the major operators is discussed. In particular the use of higher-order approximations and unstructured meshes. Efficient data structures that allow fast assembly of the linear system in the mixed formulation are described in detail.Keywords: Discontinuous finite element methods, high-order approximations, unstructured meshes, object-oriented programming.Mathematics Subject Classification: 65K05, 65N30, 65N55.