Finite and Spectral Element Methods

Introduction to Finite and Spectral Element Methods using Matlab

C. Pozrikidis

First Edition, 2005

Taylor & Francis/CRC

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Why this book?

Several hundred books on finite element methods are available. This book is unique in the following ways:

• Finite and element and spectral element methods are discussed
• The methods are developed in the broad context of ordinary and partial differential equations
• Applications and implentations are discussed for Laplace, Helmholtz, Stokes, Navier-Stokes, elasticity, structural mechanics and other problems
• Emphasis is placed on essential algorithms and computer implementation
• Practical computational experience gained simultaneously thanks to the FSELIB library--a free library of MATLAB functions and codes
• Self-contained grid-generation modules are provided
• A concise MATLAB primer is given in an Appendix

Matlab Programs

This book is accompanied by the software library FSELIB

Errata

Page		Please:	Thanks to:
34	Equation (1.1.81):	Insert a minus sign (-) after the second equal sign (=).
34	Five lines after (1.1.81):	Modify to read: hTfinf/k
51	Second equation in (1.3.22):	Modify to read: P2(l)	Diogo Bolster
77	Equation (1.4.34):	Cross out the "2" from the denominator.
83	Seven lines before the end of the code:	Modify to read: rhs(ne) = rhs(ne)+B11*f(ne)
87	Six lines from the bottom:	Modify to read: "Ni,i Ni,i-1 and Ni,i+1"
87	LHS of the second equation in (1.5.12):	Modify to read: "Ni,i-1"
87	LHS of the third equation in (1.5.12):	Modify to read: "Ni,i+1"
97	Seven lines before the end of the code:	Please cross out the minus (-) sign from the Robin line.
125	Nine lines from the bottom:	insert "for n=1$ before the semi-colon (;).
	Five lines from the bottom:	insert "for n=1$ before the semi-colon (;).
138	Equations (2.1.1) and (2.1.2):	Change the equation numbers to (2.1.33) and (2.1.34).
152	Seven lines from the bottom:	Please change "Table 2.2.1." to "Table 2.2.2."
186	Nine lines from the bottom:	Change "(a) Repeat (b)" to "(b) Repeat (a)"
191	Eighth line:	Please change to read: for jp=1:ng-1
202	Equation (2.6.43):	Change "144/7" to "144/5"
218	Eight lines from bottom:	Change "(1.2.21)" to "(1.2.28)"
335	Four lines and two lines from bottom:	Change to read: "shown in (4.3.59) and (4.3.60)"
436	Fourth line:	Change "Figure 5.4.2" to "Figure 5.4.3"
376	Second line from bottom:	Change "U=Gz" to "U=kz"
377	First and second lines:	Change "G" to "k" in two places.
415	Line after equation (5.4.12):	Add a "the" to read " defined by the position"
471	Second line:	Change "2.1.2" to "3.1.2"
474	Problem 5.7.1:	Change "1:5" to "5:1"
501	Problem 6.2.4:	This should be "Problem 6.2.3"

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