TY - JOUR
T1 - L∞-error estimate for a system of elliptic quasivariational inequalities
AU - Boulbrachene, M.
AU - Haiour, M.
AU - Saadi, S.
PY - 2003
Y1 - 2003
N2 - We deal with the numerical analysis of a system of elliptic quasivariational inequalities (QVIs). Under W 2, p (Ω)-regularity of the continuous solution, a quasi-optimal L∞-convergence of a piecewise linear finite element method is established, involving a monotone algorithm of Bensoussan-Lions type and standard uniform error estimates known for elliptic variational inequalities (VIs).
AB - We deal with the numerical analysis of a system of elliptic quasivariational inequalities (QVIs). Under W 2, p (Ω)-regularity of the continuous solution, a quasi-optimal L∞-convergence of a piecewise linear finite element method is established, involving a monotone algorithm of Bensoussan-Lions type and standard uniform error estimates known for elliptic variational inequalities (VIs).
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U2 - 10.1155/S016117120301189X
DO - 10.1155/S016117120301189X
M3 - Article
AN - SCOPUS:14744292666
SN - 0161-1712
VL - 2003
SP - 1547
EP - 1561
JO - International Journal of Mathematics and Mathematical Sciences
JF - International Journal of Mathematics and Mathematical Sciences
IS - 24
ER -