Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6915812 | Computer Methods in Applied Mechanics and Engineering | 2017 | 32 Pages |
Abstract
In this paper, we introduce a new Galerkin based formulation for transient continuum problems, governed by partial differential equations in space and time. Therefore, we aim at a direct finite element discretization of the space-time, suitable for massive parallel analysis of the arising large-scale problem. The proposed formulation is applied to thermal, mechanical and fluid systems, as well as to a Kuramoto-Sivashinsky problem, representing the general class of higher-order formulations in material science using NURBS based shape functions. We verify whenever possible the conservation properties of the formulation. Finally, a series of examples demonstrate the applicability to all systems presented in this paper.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
C. Hesch, S. SchuÃ, M. Dittmann, S.R. Eugster, M. Favino, R. Krause,