Abstract
A scheme that uses singular perturbation theory to improve the performance of existing finite element methods is presented. The proposed scheme improves the L error bound of the standard Galerkin finite element scheme by a factor of 0(EPSILON SUP n SUP + SUP 1) (where EPSILON is the 'small' parameter and n is the order of the asymptotic approximation). Numerical results for linear second order O.D.E.'s are given and are compared with several other schemes. (A)
Original language | English |
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Title of host publication | Unknown Host Publication Title |
Publisher | Pineridge Press Ltd |
ISBN (Print) | 0906674220, 9780906674222 |
State | Published - 1983 |