The comparison of results obtained from the continuous and discontinuous Galerkin Method for the thermoelasticity problem

• Autorzy: Węgrzyn-Skrzypczak Ewa

Identyfikatory

DOI

10.17512/jamcm.2021.3.07

• Języki publikacji: EN

Abstrakty

EN

The presented paper is focused on the comparison of the Continuous and Discontinuous Galerkin Methods in terms of thermoelasticity for a cubic element. For this purpose, a numerical model of the phenomenon was built using both methods together with the Finite Element Method (FEM). The comparison of the results of numerical simulation obtained with the use of an original computer program based on the derived final set of FEM equations for both methods is presented.

Słowa kluczowe

EN

thermoelasticity; finite element method; discontinuous Galerkin method

PL

termosprężystość; metoda elementów skończonych; nieciągła metoda Galerkina

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2021
• Tom: Vol. 20, nr 3
• Strony: 77--88
• Opis fizyczny: Bibliogr. 9 poz., rys., tab.

Twórcy

autor

Węgrzyn-Skrzypczak Ewa

• Department of Mathematics, Czestochowa University of Technology Częstochowa, Poland

Bibliografia

• [1] Studziński, R., Pozorski, Z., & Błaszczuk, J., (2015). Optimal support system of sandwich panels, Journal of Engineering Mechanics, 141(3), 1-8, 04014133.
• [2] Węgrzyn-Skrzypczak, E. (2020). Analysis of the three-dimensional thermoelasticity problem with the use of the continuous Galerkin method. Journal of Applied Mathematics and Computational Mechanics, 19(3), 111-121.
• [3] Cockburn, B., Karniadakis, G.E., & Shu, C.W. (2000). Discontinuous Galerkin Methods. Theory, Computations and Applications, vol. 11 of Lecture Notes in Computational Science and Engineering, Springer, Berlin.
• [4] Lew, A., Neff, P., Sulsky, D., & Ortiz, M. (2004). Optimal BV estimates for a discontinuous Galerkin method for linear elasticity. Applied Mathematics Research Express, 3, 73-106.
• [5] Węgrzyn-Skrzypczak, E. (2019). Discontinuous Galerkin method for the three-dimensional problem of thermoelasticity. Journal of Applied Mathematics and Computational Mechanics, 18(4), 115-126.
• [6] Riviere, B. (2008). Discontinuous Galerkin methods for solving elliptic and parabolic equations: Theory and implementation. Frontiers in Mathematics 35, SIAM.
• [7] Zienkiewicz, O.C. (1977). The Finite Element Method. Mc Graw-Hill, London.
• [8] Bathe, K.J. (1982). Finite Element Procedures in Engineering Analysis. Prentice-Hall.
• [9] Geuzaine, C., & Remacle, J.F. (2009). Gmsh: A 3‐D finite element mesh generator with built‐in pre‐ and post‐processing facilities. Int. J Numer. Meth. Eng., 79, 13091.