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A Gradient Weighted Moving Finite-Element Method with Polynomial Approximation of Any Degree
Author(s) -
Ali Reza Soheili,
Jahed Naghipoor,
Ali Ahmadian
Publication year - 2009
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2009/602712
Subject(s) - degree (music) , piecewise , mathematics , finite element method , polynomial , degree of a polynomial , mathematical analysis , nonlinear system , space (punctuation) , computer science , structural engineering , physics , engineering , quantum mechanics , acoustics , operating system
A gradient weighted moving finite element method (GWMFE) based on piecewise polynomial of any degree is developed to solve time-dependent problems in two space dimensions. Numerical experiments are employed to test the accuracy and effciency of the proposed method with nonlinear Burger equation

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