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FINITE-ELEMENT METHOD FOR ONE-DIMENSIONAL AND 2-DIMENSIONAL TIME-DEPENDENT PROBLEMS WITH B-SPLINES

DSpace at IIT Bombay

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Title FINITE-ELEMENT METHOD FOR ONE-DIMENSIONAL AND 2-DIMENSIONAL TIME-DEPENDENT PROBLEMS WITH B-SPLINES
 
Creator VISWANADHAM, KNSK
KONERU, SR
 
Subject equidistributing principles
differential equations
parabolic equations
galerkin methods
mesh selection
 
Description One-dimensional and two-dimensional time dependent problems have been solved by the Galerkin method with cubic B-splines as basis functions. The redefining of basis functions has been done for two-dimensional problems, for the Dirichlet type boundary conditions, resulting in a non-homogeneous part in the approximation. The equidistribution of the error principle, given by Carl de Boor for one-dimensional problems, has been extended to two-dimensional problems. The solutions for nonlinear problems are obtained as the limit of solutions of a sequence of linear problems generated by the quasilinearization technique. The method developed with these features compares favourably with the methods available in literature.
 
Publisher ELSEVIER SCIENCE SA LAUSANNE
 
Date 2011-07-29T07:11:45Z
2011-12-26T12:48:32Z
2011-12-27T05:43:10Z
2011-07-29T07:11:45Z
2011-12-26T12:48:32Z
2011-12-27T05:43:10Z
1993
 
Type Article
 
Identifier COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 108(3-4), 201-222
0045-7825
http://dx.doi.org/10.1016/0045-7825(93)90002-F
http://dspace.library.iitb.ac.in/xmlui/handle/10054/7627
http://hdl.handle.net/10054/7627
 
Language en