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(1998 / vol.1 / no.1)
Some Recent Topics in Numerical Analysis-Finite Element Methods
Eun-Jae Park
Pages. 121-127     



The objective of numerical analysis is to devise and analyze efficient
algorithms or numerical method for equations arising in mathematical
modeling for science and engineering. In this note, we present some recent topics
in numerical analysis, 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.



1. Introduction
2. FEM and mixed FEM
3. Some recent topics



finite elements, mixed finite elements, a priori error estimate, a posteriori error estimate, adaptivity, preconditioning, iterative methods



65M15, 65M60, 65N15, 65N30