The scaled boundary finite element method - Alias consistent infinitesimal finite element cell method - For diffusion

International Journal for Numerical Methods in Engineering

Volumn 45, Issue 10, 1999, Pages 1403-1431

  Song, Chongmin ^a   Wolf, John P ^a  

^a EPFL   (Switzerland)

Author keywords

Boundary element; Diffusion equation; Finite element; Heat conduction; Scaling

Indexed keywords

EID: 0001353022     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19990810)45:10<1403::AID-NME636>3.0.CO;2-E     Document Type: Article

References (8)

1. Song Ch, Wolf JP. Consistent infinitesimal finite element cell method for diffusion equation in unbounded medium. Computer Methods in Applied Mechanics and Engineering 1996; 123:319-334.
2. Wolf JP, Song Ch. Finite-Element Modelling of Unbounded Media. Wiley: Chichester, 1996.
3. Song Ch, Wolf JP. The scaled boundary finite element method - alias consistent infinitesimal finite element cell method - for elastodynamics. Computer Methods in Applied Mechanics and Engineering 1997; 147:329-355.
4. Song Ch, Wolf JP. The scaled boundary finite element method: analytical solution in frequency domain. Computer Methods in Applied Mechanics and Engineering 1998; 164:249-264.
5. Patel RV, Lin Z, Misra P. Computation of stable invariant subspaces of Hamiltonian matrices. Journal of Matrix Analysis and Applications, Society of Industrial and Applied Mathematics 1994; 15:284-298.
6. Laub AJ. A Schur method for solving algebraic Riccati equations. IEEE Transactions on Automatic Control 1979; AC-24:913-921.
7. Nardini D, Brebbia CA. Boundary integral formulation of mass matrices for dynamic analysis. Topics in Boundary Element Research, vol. 2, Ch. 7. Springer: Berlin, 1984; 191-208.
8. Yosibashi Z. On solutions of two-dimensional linear elastostatic and heat-transfer problems in the vicinity of singular points. International Journal of Solids and Structures 1997; 34:243-274.