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|Title:||FINITE-ELEMENT METHOD FOR ONE-DIMENSIONAL AND 2-DIMENSIONAL TIME-DEPENDENT PROBLEMS WITH B-SPLINES|
|Publisher:||ELSEVIER SCIENCE SA LAUSANNE|
|Citation:||COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 108(3-4), 201-222|
|Abstract:||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.|
|Appears in Collections:||Article|
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