Mathematical Physics - Volume II - Numerical Methods

Numerical method - FDM-FEM I 1 Finite difference method and Finite element method . . . . . 11 1.1 Finite difference method 2 Finite element method . . . . . 29 2.1 Finite element application to solv ing of one-dimensional problems 2.3 Finite element approximation 2.4 Determining of finite ele

ment matrices and finite element system matrices

3

Comparison of finite element method and finite difference method . . . . . . . . . . . . . . . . . . . 49

3.1 Approximate analytical solution 3.2 Finite element method – two-dimensional problem 3.3 Variation formulation of the boundary problem 3.4 Finite element interpolation 3.5 Finite element approximations 3.6 Program for solving of elliptical problems

Bibliography . . . . . . . . . . . . . 105

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