Programming the finite element method  Smith I.M., Griffiths D.V.
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Название: 
Programming the finite element method 
Автор: 
Smith I.M., Griffiths D.V. 
Категория: 
Информатика. Компьютеры

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Дата: 
23.02.2009 11:13:26 
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Описание: 
Following the success of the First Edition, considerable modifications and improvements have been made. In retrospect it was probably a mistake to combine in one book a programming philosophy and a survey of other workers' applications to geomechanics, so the latter has been dropped. However, the geomechanics flavour remains, particularly in Chapters 6, 7, 8, 9 and 12.
Although the programming philosophy remains intact, Chapter 1 reflects the rapid developments in the hardware and (to a lesser extent) software fields. Emphasis is given to what are generally known today as 'micro' computers while the programming language has been updated from FORTRAN IV (FORTRAN 66) to FORTRAN V (FORTRAN 77).
Chapter 2 has been extended to give a fuller treatment of structural applications and the equations of fluid flow including the NavierStokes equations.
In the original Chapter 3, choice of storage strategy was rather limited, so more versatility has been introduced, in the form of a 'profile' ('skyline') option.
Chapter 4 has been extended to embrace elastic, elastoplastic and elastic stability analyses of all commonly encountered skeletal structures, while in Chapter 5 a much greater range of plane and solid finite elements is provided.
In Chapter 6 more realistic examples of analyses of geotechnical problems— involving walls, foundations and slopes—have been incorporated.
The original Chapter 7 dealt both with steady state and with transient flow problems. In the present edition, transient problems are removed to Chapter 8 while the steady state confined and unconfined flow problems analysed in Chapter 7 are more typical of those encountered in geotechnical engineering practice.
Chapter 8 also includes relatively recent developments of elementbyelement algorithms for first order transient problems.
The original Chapter 8, now Chapter 9, has been extended to deal with two typical 'coupled' problems—those arising from the (steady state) NavierStokes equations and those arising from Biot's equations for transient analysis of porous elastic solids.
The original Chapter 9 has been subdivided, so that eigenvalue analysis (new Chapter 10) is divorced from the solution of second order transient problems (new Chapter 11). In the new Chapter 10 a solver based on the Lanczos method for large eigenvalue problems is demonstrated. In the new Chapter 11 second 
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