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Application and implementation of finite element methods. Repr. with corr. (English) Zbl 0535.73063
Computational Mathematics and Applications. London-New York etc.: Academic Press. A Subsidiary of Harcourt Brace Jovanovich, Publishers. XII, 372 p. $ 25.00 (1982).
There are nowadays many books written on the finite element method but most of them refer to the material aspects of the technique rather than its direct computer applications. Akin’s book instead is addressed to the programming aspects of the method and illustrates many typical computational algorithms. The theoretical aspects have been limited to the minimum required to introduce the topic while the computational aspects are discussed in detail. Numerous programs are presented and discussed with emphasis on the use of isoparametric elements and numerical integration. The subject of mesh generation is also examined to facilitate the production of large amounts of data. The book also contains a discussion of time integration procedures. The reader can use the computer codes for the solution of many practical problems or use the individual subroutines to build new finite element programs.
The most distinctive characteristic of the book is its combination of the formal and computational aspects of the finite element techniques. The book is to be recommended to those engineers and scientists who wish to acquire a practical understanding of the technique as well as to know its theoretical basis.
Reviewer: C.Brebbia

MSC:
74S05 Finite element methods applied to problems in solid mechanics
74-04 Software, source code, etc. for problems pertaining to mechanics of deformable solids
74S99 Numerical and other methods in solid mechanics
74-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mechanics of deformable solids
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs