期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 200, 期 5-8, 页码 812-829出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2010.10.005
关键词
Generalized finite elements; Global local finite elements; hp methods; Multiscale problems; Rough solutions; Transient analysis
资金
- US Air Force Research Laboratory Air Vehicles Directorate [FA8650-06-2-3620]
This paper investigates the application of the generalized finite element method with global-local enrichments (GFEM(gl)) to problems of transient heat transfer involving localized features. The GFEM(gl) is utilized in order to numerically construct general, specially-tailored shape functions yielding high levels of accuracy on coarse FEM meshes. The use of time-dependent shape functions requires that the system of equations be discretized temporally first, and then spatially in order to properly account for the time-dependency. The standard alpha-method is used for the time integration scheme. The transient three-dimensional GFEM(gl) is then applied to a laser heating example in order to demonstrate its ability to resolve localized, transient features on a fixed, coarse mesh. Convergence analysis of the proposed method as well as applications to heterogeneous materials, and moving heat sources are also provided. (C) 2010 Elsevier B.V. All rights reserved.
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