Notes from Professor Rajah Anandarajah Principles of the Finite Element Method
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چکیده
The finite element method is a numerical method for obtaining approximate solutions for boundary value problems that are defined in terms of a set of governing mathematical equations, boundary (and/or initial conditions), constitutive laws and other secondary relations such as the strain-displacement relations. In general, a number of different principles (e.g., virtual work principle, minimum potential energy principle, variational principle, etc.) are used as the basis for developing the finite element equations for a given boundary value problem. Regardless of the method used, the following aspects remain the same (referring to Fig. 1):
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