A discontinuous finite element method for hyperbolic thermal wave problems

Engineering Computations (Swansea, Wales)

Volumn 21, Issue 6, 2004, Pages 577-597

  Ai, X ^a   Li, B Q ^a  

^a WASHINGTON STATE UNIVERSITY   (United States)

Author keywords

Finite element analysis; Heat transfer; Wave properties

Indexed keywords

ELECTRONIC APPLICATIONS; MEMS APPLICATIONS; SURFACE REFLECTIVITY; WAVE PROPERTIES;

ALGORITHMS; COMPUTATIONAL METHODS; COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; GEOMETRY; HEAT TRANSFER; LASER PULSES; LASERS; PROBLEM SOLVING; THIN FILMS; WAVE PROPAGATION;

HEAT CONDUCTION;

EID: 4344718892     PISSN: 02644401     EISSN: None     Source Type: Journal    
DOI: 10.1108/02644400410545173     Document Type: Article

References (14)

1. Arnold, D.N., Brezzi, F., Cockburn, B. and Marini, L.D. (2002), "Unified analysis of discontinuous Galerkin methods for elliptic problems", SIAM J. Numer. Anal., Vol. 39 No. 5, pp. 1749-79.
2. Bassi, F. and Rebay, S. (1997), "A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations", J. Comput. Phys., Vol. 131, pp. 267-79.
3. Cattaneo, C. (1958), "A form of heat conduction equation which eliminates the paradox of instantaneous propagation", Compte Rendus, Vol. 247, pp. 431-3.
4. Cockburn, B. and Shu, C.W. (1998), "The local discontinuous Galerkin method for time-dependent convection diffusion systems", SIAM J. Numer. Anal., Vol. 35, pp. 2440-63.
5. Cockburn, B., Lin, S.Y. and Shu, C.W. (1989), "TVS Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: one-dimensional systems", J. Comput. Phys., Vol. 84, pp. 90-113.
6. Hughes, T.J.R., Engel, G., Mazzei, L. and Larson, M.G. (2000), "A comparison of discontinuous and continuous Galerkin methods based on error estimates, conservation, robustness and efficiency", in Cockburn, B., Karniadakis, G.E. and Shu, C-W. (Eds), Discontinuous Galerkin Methods: Theory, Computation and Applications, Springer-Verlag, Berlin.
7. Johnson, C. (1987), Numerical Solution of Partial Differential Equations by the Finite Element Method, Cambridge University Press, Cambridge, MA.
8. Lam, T.T. and Yeung, W.K. (2002), "A numerical scheme for non-Fourier heat conduction. Part II: two-dimensional problem formulation and verification", Numer. Heat Transfer Part B: Fundamentals, Vol. 41 No. 6, pp. 543-64.
9. Tang, D.W. and Araki, N. (1996), "Non-Fourier heat conduction in a finite medium under periodic surface thermal disturbance", Int. J. Heat Mass Transfer, Vol. 39 No. 8, pp. 1585-90.
10. Tzou, D.Y. (1995), "The generalized lagging response in small-scale and high-rate heating", Int. J. Heat Mass Transfer, Vol. 38 No. 17, pp. 3231-40.
11. Tzou, D.Y. (1996), Macro- to Microscale Heat Transfer, Taylor & Francis, Washington, DC.
12. Vernotte, P. (1961), "Some possible complications in the phenomena of thermal conduction", Compte Rendus, Vol. 252, pp. 2190-1.
13. Xu, B. and Li, B.Q. (2003), "Finite element solution of non-Fourier thermal wave problems", Numer. Heat Transfer Part B: Fundamentals, Vol. 44, pp. 1-16.
14. Yeung, W.K. and Lam, T.T. (1998), "Numerical scheme for non-Fourier heat conduction. Part I: one-dimensional problem formulation and applications", Numer. Heat Transfer Part B: Fundamentals, Vol. 33 No. 2, pp. 215-33.