AN A PRIORI ERROR ANALYSIS OF A PROBLEM INVOLVING MIXTURES OF CONTINUA WITH GRADIENT ENRICHMENT

被引：0

作者：

Bazarra, Noelia ^{[1
]}

Fernandez, Jose R. ^{[1
]}

Magana, Antonio ^{[2
]}

Magana, Marc ^{[3
]}

Quintanilla, Ramon ^{[2
]}

机构：

[1] Univ Vigo, Dept Matemat Aplicada1, Campus Lagoas Marcosende S-N, Vigo 36310, Spain

[2] ESEIAAT UPC, Dept Matemat, Colom 11, Barcelona 08222, Spain

[3] Univ Autenoma Barcelona, Fac Ciencies, Barcelona 08193, Spain

来源：

INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING | 2024年 / 21卷 / 02期

关键词：

Mixtures; strain gradient; finite elements; discrete energy decay; a priori error estimates; numerical simulations; EXPONENTIAL DECAY; THERMOELASTIC MIXTURE; INTERACTING CONTINUA; EXISTENCE;

D O I：

10.4208/ijnam2024-1006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we study a strain gradient problem involving mixtures. The variational formulation is written as a first -order in time coupled system of parabolic variational equations. An existence and uniqueness result is recalled. Then, we introduce a fully discrete approximation by using the finite element method and the implicit Euler scheme. A discrete stability property and a priori error estimates are proved. Finally, some one- and two-dimensional numerical simulations are performed.

引用

页码：165 / 180

页数：16

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