TY - JOUR
T1 - A fixed-point approximation method for some noncoercive variational problems
AU - Boulbrachene, M.
PY - 2000/3/1
Y1 - 2000/3/1
N2 - This paper deals with the finite-element approximation of some variational problems, namely, linear elliptic boundary value problems, variational inequalities, and quasi-variational inequalities with noncoercive operators. To prove optimal L∞-error estimates, we introduce a simple and direct argument combining continuous piecewise linear finite elements with the Banach fixed-point theorem.
AB - This paper deals with the finite-element approximation of some variational problems, namely, linear elliptic boundary value problems, variational inequalities, and quasi-variational inequalities with noncoercive operators. To prove optimal L∞-error estimates, we introduce a simple and direct argument combining continuous piecewise linear finite elements with the Banach fixed-point theorem.
KW - Boundary value problem
KW - Finite element
KW - Fixed point
KW - Quasi-variational inequality
KW - Variational inequality
UR - http://www.scopus.com/inward/record.url?scp=0034174004&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0034174004&partnerID=8YFLogxK
U2 - 10.1016/s0898-1221(00)00061-4
DO - 10.1016/s0898-1221(00)00061-4
M3 - Article
AN - SCOPUS:0034174004
SN - 0898-1221
VL - 39
SP - 17
EP - 27
JO - Computers and Mathematics with Applications
JF - Computers and Mathematics with Applications
IS - 7-8
ER -