The projection method for singularly perturbed boundary value problems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 7, pp. 1031-1044
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A finite element method for linear and non-linear singularly perturbed boundary-value problems is considered. It is proved that the approximate solutions converge to the exact solution in the norm of the space of continuous functions, uniformly in the small parameter. The proposed scheme is suitable for solving a wider class of problems than can be handled by the popular “hinged element method”, and also produces a higher order of approximation.
@article{ZVMMF_1990_30_7_a5,
author = {I. A. Blatov},
title = {The projection method for singularly perturbed boundary value problems},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1031--1044},
publisher = {mathdoc},
volume = {30},
number = {7},
year = {1990},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_7_a5/}
}
TY - JOUR AU - I. A. Blatov TI - The projection method for singularly perturbed boundary value problems JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1990 SP - 1031 EP - 1044 VL - 30 IS - 7 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_7_a5/ LA - ru ID - ZVMMF_1990_30_7_a5 ER -
I. A. Blatov. The projection method for singularly perturbed boundary value problems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 7, pp. 1031-1044. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_7_a5/