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Chapter 1 Elliptic boundary value problems and FEM

DOI: 10.1016/s0168-2024(01)80002-3


Publisher Summary This chapter describes the application of finite element method (FEM) to elliptic boundary value problems. The way is natural and efficient—particularly in dealing with time-dependent problems, because the finite element method is regarded as a discretization of the underlying variational structure Finite element method is a kind of Ritz–Galerkin approximation applied to variational problem, where f є X. In the simplest case, Ω is divided into small closed triangles (simplexes) with the size parameter h > 0. The chapter describes the method in the framework of operator theory, picking up approximate operators of the schemes..

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