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Moving finite element method: applications to science and engineering problems

Title
Moving finite element method: applications to science and engineering problems
Type
Article in International Scientific Journal
Year
2004
Authors
Maria do Carmo Coimbra
(Author)
FEUP
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C. Sereno
(Author)
Other
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A. Rodrigues
(Author)
Other
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Journal
Vol. 28 No. 5
Pages: 597-603
ISSN: 0098-1354
Publisher: Elsevier
Other information
Authenticus ID: P-00H-8MW
Abstract (EN): This paper is concerned with the formulation and development of a numerical moving mesh method to solve time-dependent reaction-diffusion-convection problems. The first part of this contribution gives an over-view of the moving finite element method (MFEM) formulated with a piecewise higher degree polynomial basis in space. In the second part, applications are presented in order to give a convincing demonstration that the proposed moving finite element method is a powerful tool to compute numerical solution of a large class of 1D and 2D problems modeled by time-dependent partial differential equations (PDE). Numerical results are described which illustrate some important features of the proposed moving finite element method for solving problems in one and two-dimensional space domains.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 7
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