On the fully discrete approximations of the MGT two-temperatures thermoelastic problem

• Autorzy: Baldonedo J. , Fernández J. R. , Quintanilla R.

Identyfikatory

DOI

10.24423/aom.4022

• Języki publikacji: EN

Abstrakty

EN

We consider a one-dimensional two-temperatures thermoelastic model. The corresponding variational problem leads to a coupled system which is written in terms of the mechanical velocity, the temperature speed and the inductive temperature. An existence and uniqueness result is recalled. Then, fully discrete approximations are introduced by using the finite element method and the implicit Euler scheme. A priori error estimates are proved and the linear convergence of the approximations is deduced under suitable additional regularity conditions. Finally, some numerical simulations are shown to demonstrate the accuracy of the proposed algorithm and the behavior of the discrete energy.

Słowa kluczowe

EN

two-temperatures thermoelasticity; finite elements; priori error estimates; numerical simulations

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2022
• Tom: Vol. 74, nr 5
• Strony: 391--407
• Opis fizyczny: Bibliogr. 34 poz., rys., tab.

Twórcy

autor

Baldonedo J.

• CINTECX, Departamento de Ingeniería Mecánica, Universidade de Vigo, Campus As Lagoas Marcosende s/n, 36310 Vigo, Spain

autor

Fernández J. R.

• Departamento de Matemática Aplicada I, Universidade de Vigo, ETSI Telecomunicación. Campus As Lagoas Marcosende s/n, 36310 Vigo, Spain

autor

Quintanilla R.

• Departamento de Matemáticas, E.S.E.I.A.A.T.-U.P.C., Colom 11, Terrassa, 08222, Spain

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).