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Образование Крыму » Информатика. Компьютеры » Programming the finite element method - Smith I.M., Griffiths D.V.

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
Скачано: 135
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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 Navier-Stokes 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, elasto-plastic 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 element-by-element 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) Navier-Stokes 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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