hplgit/fem-book

fem-book

Resources for the book Introduction to Numerical Methods for Variational Problems by Hans Petter Langtangen and Kent-Andre Mardal.

Directory structure

• src: source code for book examples
• doc: documents for the book
• doc/pub: published documents
• doc/pub/book: complete (preliminary) published book
• doc/.src/book: DocOnce source code, computer code, figures etc
• doc/.src/book/dotxt: Text files for individual chapters
• doc/.src/book/fig: Figures
• doc/.src/book/src: Programs
• doc/.src/book.make.sh: Make book in LaTeX PDF format
• doc/.src/book.make_html.sh: Make book in various HTML formats
• doc/.src/book/slides: Study guide (slides) for the book

Development takes place in the master branch, and the gh-pages branch is always merged and in sync with master.

fem-book's Issues

Missing "to"

Page 28 - missing "to" before equation reference

Typo on p19

The first equation defines the inner product (f,g) but the sentence following fixes the integration domain of f and \psi_i; the latter should be "g".

Equation 2.18 typo: should be c_j

I believe Equation 2.17 and the following unnumbered equation following are correct. This shows the coefficients in the sums should be indexed by the summation variable "j". In other words, 2.18 should change c_i --> c_j and similarly for the unnumbered equation following.

The index is correct again in 2.19.

Section 1 extra d in equations

Second and third unnumbered equations after (1.6) on pages 4 and 6 have extra d in them:

Equation 5.35 dimensionaly incorrect

thank for sharing this nice book on the web.

In section 5.5.5 Convenient formulas for P1 elements

fem-book/doc/.src/book/dotxt/varform.do.txt

Lines 5650 to 5656 in 4d4d5c2

	!bt
	\begin{equation}
	\basphi_I (x,y) = \half\Delta \left( \alpha_I + \beta_Ix
	+ \gamma_Iy\right),
	label{fem:approx:fe:2D:phi:I}
	\end{equation}
	!et

The formula for $\phi_I$ is dimensionaly incorrect. $\phi_I$ should have no unit and the right hand side has $[m^2]$. It should be $\frac{1}{2 \Delta}$ in the prefactor and not $\frac{1}{2 } \Delta$

Wrong section reference

In page 42 there's a reference to section 3.3.2

but is should be 3.3.3

Vector missing line break

On page 64 there's a missing linebreak in the vector c:

fem-book/doc/.src/book/dotxt/approx.do.txt:

Misspelled reference

There's a misspelled reference on page 10:

Could not find src: source code for book examples

Did I miss something? There is no src in this repo.