AMSC 614 : Mathematics of the Finite Element Method
نویسنده
چکیده
(1) A one-dimensional minimization problem and the Ritz method. (2) Weak formulation and the Galerkin method. Abstract error estimates. (3) The lemma of variations. Euler-Lagrange equations. Weak formulation, again. (4) The Ritz-Galerkin finite element method: philosophy. (5) The piecewise linear finite element space and basis functions. The linear system. (6) The piecewise linear finite element method: interpolation error and energy norm estimates. (7) Relation between the finite element method and the finite difference method.
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