Mathematical description of discontinuous Galerkin method in the theory of thermoelasticity

• Autorzy: Węgrzyn-Skrzypczak E. , Skrzypczak T.
• Języki publikacji: EN

Abstrakty

EN

In the paper mathematical description of Discontinuous Galerkin Method (DGM) used in the theory of thermoelasticity is presented. Displacement form of governing equations is introduced as the base of mathematical model. Space discretization methodology for discontinuous finite element method is showed.

Słowa kluczowe

EN

thermoelasticity; discontinuous Galerkin method; mathematical description

PL

termosprężystość; metoda DG; opis matematyczny

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2010
• Tom: Vol. 9, nr 2
• Strony: 235--242
• Opis fizyczny: Bibliogr. 5 poz., rys., tab.

Twórcy

autor

Węgrzyn-Skrzypczak E.

autor

Skrzypczak T.

• Institute of Mathematics, Czestochowa University of Technology, Poland,

Bibliografia

• [1] Reed W.H., Hill T.R., Triangular mesh methods for the neutron transport equation, Los Alamos Scientific Laboratory Report LA-UR-73-479, Los Alamos 1973.
• [2] Cockburn B., Karniadakis G., Shu C.W., The development of discontinuous Galerkin methods, [in:] Discontinuous Galerkin Methods: Theory, Computation and Applications. Lecture Notes in Computational Science and Engineering, 11, Springer-Verlag, New York 2000, 3-50.
• [3] Cockburn B., Devising discontinuous Galerkin methods for non-linear hyperbolic conservation laws, J. Comput. Appl. Math. 2001, 128, 187-204.
• [4] Bathe K. J., Finite element procedures in engineering analysis, Prentice-Hall, Englewood Cliffs 1982.
• [5] Li B.Q., Discontinuous finite elements in fluid dynamics and heat transfer, Springer-Verlag, London 2006.