By J. E. Akin
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Extra resources for Application and Implementation of Finite Element Methods (Computational Mathematics and Applications)
2. 1 Introduction 21 to which the user has access. Only one dimension card has to be changed to modify the in-core storage capacity of the present building block program. The disadvantage is that one must do the extra "bookkeeping" necessary to define the pointers to locate the matrices. In some cases, an additional storage saving is possible through overwriting. Referring to Fig. 1 for three representative matrices, A (3 x 3), B (1 x 5), C (2 x 1), assume that the matrix B is generated, stored and completely utilized before matrix C is generated and stored.
Other combinations are possible such as a nonlinear dynamic analysis that requires material property iterations at the end of each time step. Thus the main controlling program can have plicated logic if it is designed to be very general. The major subroutines ASYMBL, APLYBC, FACTOR, SOLVE, and POST that are listed in Fig. 3 will be considered in more detail in a later chapter. Their names and comparison of Figs. 3 should suggest their major functions. The assembly segment control program, ASYMBL, uses several of the subroutines to be discussed in Chapters 3 and 4.
To aid in generating larger and more practical meshes, Chapter 13 is included to present an algorithm for automatic mesh generation. The last two chapters are included to demonstrate the implementation aspects of selected time dependent finite element solutions. However, since there are at least thirty time integration algorithms the ones presented may not be typical of those procedures employed in the more advanced applications. As the reader proceeds through the following chapters it will probably be useful to refer back to flow charts given previously.