----- Forwarded message from Kornelia Pietsch <[EMAIL PROTECTED]> 
-----

Click "bild_loes_140_rot.eps",
change something,
Apply,
Crash.

gdb (core-file) sagt:

(gdb) bt
#0  0x402a7ac1 in __kill () from /lib/libc.so.6
#1  0x402a7795 in raise () at ../sysdeps/posix/raise.c:28
#2  0x402a8e5f in abort () at ../sysdeps/generic/abort.c:139
#3  0x826448b in lyx::abort ()
#4  0x80aa912 in error_handler ()
#5  0x402a79e8 in __restore ()
    at ../sysdeps/unix/sysv/linux/i386/sigaction.c:127
#6  0x827c183 in __as__t12basic_string3ZcZt18string_char_traits1ZcZt24__default_
alloc_template2b1i0RCt12basic_string3ZcZt18string_char_traits1ZcZt24__default_al
loc_template2b1i0 ()
#7  0x81c57b9 in FormGraphics::apply ()
#8  0x8362237 in ControlInset<InsetGraphics, InsetGraphicsParams>::apply ()
#9  0x823b61d in ControlButtons::OKButton ()
#10 0x81accdf in C_FormBaseOKCB ()
#11 0x40062cb4 in fl_object_qread () from /usr/X11R6/lib/libforms.so.0.89
#12 0x40073679 in fl_check_forms () from /usr/X11R6/lib/libforms.so.0.89
#13 0x81f9649 in lyx_gui::start ()
#14 0x80aa5c0 in LyX::LyX ()
#15 0x80d6642 in main ()
#16 0x402a1a8e in __libc_start_main () at ../sysdeps/generic/libc-start.c:93
(gdb) bt full
#0  0x402a7ac1 in __kill () from /lib/libc.so.6
No locals.
#1  0x402a7795 in raise () at ../sysdeps/posix/raise.c:28
No locals.
#2  0x402a8e5f in abort () at ../sysdeps/generic/abort.c:139
        lock = {__m_reserved = 0, __m_count = 0, __m_owner = 0x0, 
  __m_kind = 1, __m_lock = {__status = 0, __spinlock = 0}}
        stage = 0
#3  0x826448b in lyx::abort ()
No symbol table info available.
#4  0x80aa912 in error_handler ()
No symbol table info available.
#5  0x402a79e8 in __restore ()
    at ../sysdeps/unix/sysv/linux/i386/sigaction.c:127
No locals.
#6  0x827c183 in
__as__t12basic_string3ZcZt18string_char_traits1ZcZt24__default_alloc_template2b1i0RCt12basic_string3ZcZt18string_char_traits1ZcZt24__default_alloc_template2b1i0
()
No symbol table info available.
#7  0x81c57b9 in FormGraphics::apply ()
No symbol table info available.
#8  0x8362237 in ControlInset<InsetGraphics, InsetGraphicsParams>::apply ()
No symbol table info available.
#9  0x823b61d in ControlButtons::OKButton ()
No symbol table info available.
#10 0x81accdf in C_FormBaseOKCB ()
No symbol table info available.
#11 0x40062cb4 in fl_object_qread () from /usr/X11R6/lib/libforms.so.0.89
No symbol table info available.
#12 0x40073679 in fl_check_forms () from /usr/X11R6/lib/libforms.so.0.89
No symbol table info available.
#13 0x81f9649 in lyx_gui::start ()
No symbol table info available.
#14 0x80aa5c0 in LyX::LyX ()
No symbol table info available.
#15 0x80d6642 in main ()
No symbol table info available.
#16 0x402a1a8e in __libc_start_main () at ../sysdeps/generic/libc-start.c:93
No locals.


----- End forwarded message -----

-- 
Those who desire to give up Freedom in order to gain Security,
will not have, nor do they deserve, either one. (T. Jefferson)
#LyX 1.3 created this file. For more info see http://www.lyx.org/
\lyxformat 221
\textclass scrartcl
\begin_preamble
\usepackage{psfrag}

\newcommand{\av}[1]{\renewcommand{\arraystretch}{#1}}
\newcommand{\ah}[1]{\setlength\arraycolsep{#1}}
\end_preamble
\language german
\inputencoding latin1
\fontscheme default
\graphics default
\float_placement htbp
\paperfontsize 12
\spacing single 
\papersize Default
\paperpackage widemarginsa4
\use_geometry 0
\use_amsmath 1
\use_natbib 0
\use_numerical_citations 1
\paperorientation portrait
\secnumdepth 3
\tocdepth 3
\paragraph_separation skip
\defskip medskip
\quotes_language german
\quotes_times 2
\papercolumns 1
\papersides 2
\paperpagestyle default

\layout Standard


\begin_inset FormulaMacro 
\newcommand{\ab}[1]{\; #1\; }
\end_inset 

                 
\layout Paragraph

Problem 14
\layout Standard

Interfaceproblem mit homogenen Dirichlet-Randbedingungen auf Quadrat (mit
 Singularität)
\layout Itemize

Aufgabe: \SpecialChar ~

\begin_inset Formula $\begin{array}[t]{rcll}
-p\,\Delta u & = & f\quad & \textrm{in }\Omega\\
u & = & 0 & \textrm{auf }\partial\Omega\end{array}$
\end_inset 


\layout Itemize

Lösung: \SpecialChar ~

\begin_inset Formula $u_{ex}\ab{=}(a^{2}-x^{2})(b^{2}-y^{2})\cdot r^{\lambda}\left\{ 
\negthickspace\av{1.3}\begin{array}{ll}
{\displaystyle d_{1}\cos(\lambda(2\pi-\varphi))+d_{2}\sin(\lambda(2\pi-\varphi))} & 
\textrm{für }x<0,y>0\\
{\displaystyle c_{1}\cos(\lambda\varphi)+c_{2}\sin(\lambda\varphi)} & \textrm{sonst 
}\end{array}\right.$
\end_inset 

 
\newline 
mit \SpecialChar ~
 
\begin_inset Formula $\begin{array}[t]{ll}
c_{1}=\sin(\frac{3}{2}\pi\lambda)+p_{1}\sin(\frac{\pi}{2}\lambda), & d_{1}=c_{1}\\
c_{2}=-\cos(\frac{3}{2}\pi\lambda)+\cos(\frac{\pi}{2}\lambda),\quad & 
d_{2}=-p_{1}c_{2}\end{array}$
\end_inset 

und \SpecialChar ~
 
\begin_inset Formula 
$p_{1}=\frac{1+2\cos(\frac{\pi}{2}\lambda)}{1-2\cos(\frac{\pi}{2}\lambda)}$
\end_inset 


\layout Itemize

Parameterwahl: 
\begin_inset ERT
status Collapsed

\layout Standard

\backslash 
tabcolsep 1ex 
\backslash 
renewcommand{
\backslash 
arraystretch}{1.1} 
\end_inset 


\begin_inset ERT
status Collapsed

\layout Standard

\backslash 
smallskip
\end_inset 


\begin_deeper 
\layout Standard


\size small 

\begin_inset  Tabular
<lyxtabular version="3" rows="3" columns="7">
<features>
<column alignment="center" valignment="top" leftline="true" width="0pt">
<column alignment="left" valignment="top" leftline="true" width="0pt">
<column alignment="left" valignment="top" leftline="true" width="0pt">
<column alignment="left" valignment="top" leftline="true" width="0pt">
<column alignment="left" valignment="top" leftline="true" width="0pt">
<column alignment="left" valignment="top" leftline="true" width="0pt">
<column alignment="left" valignment="top" leftline="true" rightline="true" width="0pt">
<row topline="true">
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\layout Standard


\size small 

\begin_inset Formula $\lambda$
\end_inset 


\end_inset 
</cell>
<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\layout Standard


\size small 
0.69
\end_inset 
</cell>
<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\layout Standard


\size small 
0.77
\end_inset 
</cell>
<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\layout Standard


\size small 
0.85
\end_inset 
</cell>
<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\layout Standard


\size small 
1.0
\end_inset 
</cell>
<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\layout Standard


\size small 
1.1
\end_inset 
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" 
rightline="true" usebox="none">
\begin_inset Text

\layout Standard


\size small 
1.2
\end_inset 
</cell>
</row>
<row topline="true" bottomline="true">
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\layout Standard


\size small 

\begin_inset Formula $p_{1}$
\end_inset 


\end_inset 
</cell>
<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\layout Standard


\size small 
30.18161
\end_inset 
</cell>
<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\layout Standard


\size small 
5.82477
\end_inset 
</cell>
<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\layout Standard


\size small 
2.75158
\end_inset 
</cell>
<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\layout Standard


\size small 
1.0
\end_inset 
</cell>
<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\layout Standard


\size small 
0.52338
\end_inset 
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" 
rightline="true" usebox="none">
\begin_inset Text

\layout Standard


\size small 
0.23607
\end_inset 
</cell>
</row>
<row bottomline="true">
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\layout Standard


\size small 

\begin_inset Formula $p_{2}$
\end_inset 


\end_inset 
</cell>
<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\layout Standard


\size small 
1.0
\end_inset 
</cell>
<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\layout Standard


\size small 
1.0
\end_inset 
</cell>
<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\layout Standard


\size small 
1.0
\end_inset 
</cell>
<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\layout Standard


\size small 
1.0
\end_inset 
</cell>
<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text

\layout Standard


\size small 
1.0
\end_inset 
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" 
rightline="true" usebox="none">
\begin_inset Text

\layout Standard


\size small 
1.0
\end_inset 
</cell>
</row>
</lyxtabular>

\end_inset 


\end_deeper 
\layout Itemize

Gebiet: \SpecialChar ~
\SpecialChar ~
\SpecialChar ~

\begin_inset Formula $\Omega=(-a,a)\times(-b,b)$
\end_inset 


\layout Itemize

Netze unter 
\family typewriter 
\size small 
~/Programme/Netze/
\family default 
\size default 
: 
\begin_deeper 
\layout Standard
\align center 
\SpecialChar ~

\hfill 

\family typewriter 
m1*.net, 
\size small 
m2*.net
\family default 
\size default 

\hfill 
und
\hfill 

\family typewriter 
Neu/ms1*.net, Neu/ms2*.net
\family default 

\hfill 
\SpecialChar ~
 
\newline 

\layout Standard

\SpecialChar ~

\hfill 

\begin_inset Graphics
        filename bild_netz_m.eps
        width 23text%
        rotateOrigin rightTop

\end_inset 


\hfill 
\SpecialChar ~
\SpecialChar ~

\hfill 

\begin_inset Graphics
        filename bild_netz_ms.eps
        width 23text%
        rotateOrigin rightBaseline

\end_inset 


\hfill 
\SpecialChar ~
 
\end_deeper 
\layout Itemize

Beispiel für Programmaufruf: 
\newline 

\family typewriter 
makescalar ARGS="-t 14 -r 1 -d 1 -g 110 -p Neu/ -s ms -i 0" 
\layout Standard


\begin_inset ERT
status Collapsed

\layout Standard

\backslash 
psfragscanon
\end_inset 


\hfill 

\begin_inset Graphics
        filename bild_loes_140_rot.eps
        width 40text%
        rotateOrigin rightBaseline

\end_inset 


\hfill 

\hfill 

\begin_inset Graphics
        filename bild_loes_145_rot.eps
        width 40text%
        rotateOrigin rightBaseline

\end_inset 


\hfill 
\SpecialChar ~

\the_end

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