7. Bibliography#

  1. M.A. REDON, J.M. PROIX: Diagonalization of the thermal mass matrix. Rating EDF/DER /HI-75/97/008/0

    1. BREZIS: Functional Analysis, Theory and Applications. Masson (1983).

  3. Reference manual. Document [R5.02.01]: Linear thermal algorithm.

    1. OUYANG, D. XIAO: Criteria for eliminating oscillation in analysis of heat-conduction equation by finite-element method. Communications in numerical methods in engineering. Vol.10, 453-460 (1994).

    1. NITROSSO: Study of the principle of the discrete maximum - September 1996. Internal communication EDF.

  6. O.C. ZIENKIEWICZ: The finite element method (3rd edition). McGraw-Hill (1977).

    1. FRIED, D.S. MELKUS: Finite element mass matrix diagonalization by numerical integration with no convergence rate loss. Int. Journal of Solids and Structures. Vol.11, 461-466 (1975).

    1. COHEN, A. ELMKIES: Triangular finite elements P2 with mass condensation for the wave equation. Research report INRIA n°2418 - September 1994.

    1. HINTON, A. ROCK, O.C. ZIENKIEWICZ: A note on mass diagonalization in related processes in the finite element method. Int. J. Earthquake Engineering and Structural Dynamics, Vol. 4, 245-249 (1976).

    1. HUGHES: The finite element method. Linear static and dynamic finite element analysis. Prentice Hall (1987).

  11. J.P. GREGOIRE: Compendium of elementary mass matrices and Laplacian for the main elements of simple form. Note EDF HI-76/96/012 - June 1996.