A dual-phase-lag porous-thermoelastic problem with microtemperatures

被引：0
|
作者：
Bazarra, N. [1 ]
Fernandez, J. R. [1 ]
Quintanilla, R. [2 ]
机构：
[1] Univ Vigo, Dept Matemat Aplicada 1, Escola Enxeneria Telecomunicac, Campus Lagoas Marcosende S-N, Vigo 36310, Spain
[2] ESEIAAT UPC, Dept Matemat, Colom 11, Barcelona 08222, Spain
来源：
ELECTRONIC RESEARCH ARCHIVE | 2022年 / 30卷 / 04期
关键词：
dual-phase-lag; porous-thermoelasticity with microtemperatures; existence and uniqueness; finite elements; a priori error estimates; numerical simulations; LINEAR ELASTIC-MATERIALS; NUMERICAL-ANALYSIS; EXPONENTIAL DECAY; SYSTEM;
D O I：
10.3934/era.2022065
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work, we consider a multi-dimensional dual-phase-lag problem arising in porousthermoelasticity with microtemperatures. An existence and uniqueness result is proved by applying the semigroup of linear operators theory. Then, by using the finite element method and the Euler scheme, a fully discrete approximation is numerically studied, proving a discrete stability property and a priori error estimates. Finally, we perform some numerical simulations to demonstrate the accuracy of the approximation and the behavior of the solution in one-and two-dimensional problems.
引用
收藏
页码：1236 / 1262
页数：27
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