一类具有非线性源项的抛物型拟变分不等式系统的有限元法的L∞−渐近性质

IF 1 Q1 MATHEMATICS Kragujevac Journal of Mathematics Pub Date : 2023-01-01 DOI:10.46793/kgjmat2303.347b

D. C. Benchettah

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引用次数: 0

摘要

本文是对前人结果的推广和推广，参见[3,6,8,11]。主要研究与能源生产管理问题有关的抛物型拟变分不等式非强制方程组的有限元逼近问题。具体地说，我们利用有限元空间逼近和子解方法证明了具有非线性源项的演化拟变分不等式系统的最优L∞-渐近性

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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L ∞−ASYMPTOTIC BEHAVIOR OF A FINITE ELEMENT METHOD FOR A SYSTEM OF PARABOLIC QUASI-VARIATIONAL INEQUALITIES WITH NONLINEAR SOURCE TERMS

This paper is an extension and a generalization of the previous results, cf. [3, 6, 8, 11]. It is devoted to studying the finite element approximation of the non coercive system of parabolic quasi-variational inequalities related to the management of energy production problem. Specifically, we prove optimal L∞-asymptotic behavior of the system of evolutionary quasi-variational inequalities with nonlinear source terms using the finite element spatial approximation and the subsolutions method

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