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- W2213331392 abstract "This chapter describes the Ritz finite element method. More complex integration generally requires a numerical method of solution. With simple shape functions, it is often possible to pre-evaluate these integrals and to express each as a simple function of the nodal coordinates and of the volume or area of the element. It is shown that finite element methods based on some of the other variational approximations are possible. One criterion for the Ritz method is that the finite element representations of the function, and its derivatives should have the capability of representing at least constant values across an element. In some applications, the elements of the matrices are the corresponding elements of the anisotropy tensor for a property of the substance in the region. In general, the anisotropy tensor is symmetric and, hence, its elements can be written as a diagonal matrix in regard to a particular set of reference axes, the principal axes." @default.
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- W2213331392 date "1973-01-01" @default.
- W2213331392 modified "2023-09-24" @default.
- W2213331392 title "THE RITZ FINITE ELEMENT METHOD (CLASSICAL)" @default.
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- W2213331392 doi "https://doi.org/10.1016/b978-0-12-521650-0.50011-5" @default.
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