A Model Diffusion Problem 1 1 . A Model Diffusion Problem
نویسنده
چکیده
1 A Model Diffusion Problem . . . . . . . . . . . . . . . . . . . . 1 x.1 Domain . . . . . . . . . . . . . . . . . . . . . . . . . . 1 x.2 Continuous Function . . . . . . . . . . . . . . . . . . . 2 x.3 Normed Vector Space . . . . . . . . . . . . . . . . . . 2 x.4 Square Integrable Function . . . . . . . . . . . . . . . 3 x.5 Inner Product Space . . . . . . . . . . . . . . . . . . . 4 x.6 Cauchy–Schwarz Inequality . . . . . . . . . . . . . . . 4 x.7 Sobolev Space . . . . . . . . . . . . . . . . . . . . . . 5 x.8 Weak Derivative . . . . . . . . . . . . . . . . . . . . . 10 2 Galerkin Approximation . . . . . . . . . . . . . . . . . . . . . 11 x.9 Cauchy Sequence . . . . . . . . . . . . . . . . . . . . . 14 x.10 Complete Space . . . . . . . . . . . . . . . . . . . . . 14 3 Finite Element Galerkin Approximation . . . . . . . . . . . . 16
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