Korean Journal of Mathematics
- Volume 13 Issue 2
- /
- Pages.127-137
- /
- 2005
- /
- 1976-8605(pISSN)
- /
- 2288-1433(eISSN)
SOME RECENT TOPICS IN COMPUTATIONAL MATHEMATICS - FINITE ELEMENT METHODS
- Park, Eun-Jae (Department of Mathematics Yonsei University)
- Received : 2005.06.12
- Published : 2005.09.30
Abstract
The objective of numerical analysis is to devise and analyze efficient algorithms or numerical methods for equations arising in mathematical modeling for science and engineering. In this article, we present some recent topics in computational mathematics, specially in the finite element method and overview the development of the mixed finite element method in the context of second order elliptic and parabolic problems. Multiscale methods such as MsFEM, HMM, and VMsM are included.
Keywords
- finite elements;
- mixed finite elements;
- a priori error estimate;
- a posteriori error estimate;
- adaptivity;
- preconditioning;
- iterative methods;
- multiscale methods