Thermoelastic Bresse system with dual-phase-lag model

被引：0
|
作者：
Noelia Bazarra
Ivana Bochicchio
José R. Fernández
Maria Grazia Naso
机构：
[1] Universidade de Vigo,Departamento de Matemática Aplicada I
[2] ETSI Telecomunicación,Dipartimento di Ingegneria Civile
[3] Università degli Studi di Salerno,Dipartimento di Ingegneria Civile, Architettura, Territorio, Ambiente e di Matematica
[4] Università degli Studi di Brescia,undefined
来源：
Zeitschrift für angewandte Mathematik und Physik | 2021年 / 72卷
关键词：
Bresse system; Existence and uniqueness; Finite elements; A priori error estimates; Primary 74K10; Secondary 74H25; 74H40; 74F05; 65M60; 65M12; 65M15;
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摘要：
In this work, we study a thermoelastic Bresse system from both mathematical and numerical points of view. The dual-phase-lag heat conduction theory is used to model the heat transfer. An existence and uniqueness result is obtained by using the theory of linear semigroups. Then, fully discrete approximations are introduced by using the finite element method and the implicit Euler scheme. A priori error estimates are shown, from which the linear convergence is derived under suitable regularity conditions. Finally, some numerical simulations are presented to demonstrate the accuracy of the approximation and the behavior of the solution with respect to a constitutive parameter.
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