Variational Approximation in Modular Spaces by Using Finite Element Method Approach

被引：0

作者：

Mabdaoui, Mohamed ^{[1
]}

Moussa, Hicham ^{[2
,4
]}

Rhoudaf, Mohamed ^{[3
]}

机构：

[1] Univ Chouaib Doukkali, Fac Polydisciplinaire Sidi Bennour, El Jadida, Morocco

[2] Univ Sultan Moulay Slimane, Fac Sci Tech Beni Mellal, Lab Math Appl & Calcul Sci, Beni Mellal, Morocco

[3] Univ Moulay Ismail Meknes, Fac Sci Meknes, Equipe EDPs & Calculs Sci, Beni Mellal, Morocco

[4] Sultan Moulay Slimane Univ, Beni Mellal 23000, Morocco

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2023年 / 44卷 / 01期

关键词：

Finite element method; interpolation operators; nonlinear elliptic problem; Orlicz spaces; EQUATIONS;

D O I：

10.1080/01630563.2022.2153367

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we shall study the polynomial approximation in a more general setting namely to consider the Orlicz-Sobolev spaces (WLM)-L-k(omega). We study the local and global interpolation estimate and we will show the finite element error estimate for a nonlinear elliptic problem where we establish a generalization of Cea's Theorem and we prove the modular convergence of the gradient, then we present the existence result and its proof.

引用

页码：64 / 85

页数：22

共 15 条

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