Sparse Two-Scale FEM for Homogenization Problems

Journal of Scientific Computing

Volumn 17, Issue 1-4, 2002, Pages 659-669

  Matache, A M ^a  

^a ETH ZURICH   (Switzerland)

Author keywords

Homogenization; Sparse two scale FEM; Two scale FEM

Indexed keywords

BOUNDARY CONDITIONS; DEGREES OF FREEDOM (MECHANICS); FINITE ELEMENT METHOD; INTERPOLATION; MICROSTRUCTURE; TENSORS; THEOREM PROVING;

HOMOGENIZATION; SPARSE TWO-SCALE FEM; TWO-SCALE FEM;

PROBLEM SOLVING;

EID: 0042015246     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1015187000835     Document Type: Conference Paper

References (10)

1. Babuška, I., and Aziz, A. K. (1973). Survey lectures on the mathematical foundation of the finite element method. In Aziz, A. K. (ed.), The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations, Academic Press, New York, pp. 5-359.
2. Bensoussan, A., Lions, J. L., and Papanicolau, G. (1978). Asymptotic Analysis for Periodic Structures, North Holland, Amsterdam,.
3. Cioranescu, D., and Donate, P. (1999). An Introduction to Homogenization, Oxford University Press.
4. Matache, A. M. (2000). Spectral- and p-finite elements for problems with microstructure, Ph.D. thesis, ETH Zürich.
5. Matache, A. M., Babuška, I., and Schwab, C. (2000). Generalized p-FEM in homogenization. Numer. Math. 86(2), 319-375.
6. Matache, A. M., and Schwab, C. Two-Scale FEM for Homogenization Problems (submitted), Report 2001-06, Seminar for Applied Mathematics, ETH Zürich. http://www.sam.math.ethz.ch/reports/details/2001/2001-06.shtml.
7. Oleinik, O. A., Shamaev, A. S., and Yosifian, G. A., (1992). Mathematical Problems in Elasticity and Homogenization, North-Holland.
8. Schwab, C., and Matache, A. M. (2000). High order generalized FEM for lattice materials. In Neittaanmäki, P., Tiihonen, T., and Tarvainen, P. (eds.), Proceedings of the 3rd European Conference on Numerical Mathematics and Advanced Applications, Finland, 1999, World Scientific, Singapore.
9. Szabó, B., and BabuSša, I. (1991). Finite Element Analysis, Wiley.
10. Zenger, C. (1990). Sparse grids. In Parallel Algorithms for PDEs, Proceedings of the 6th GAMM-Seminar, Kiel.