From 5014c2d2523df191b26632718871426aff72520a Mon Sep 17 00:00:00 2001 From: Peter Schaefer Date: Fri, 5 Oct 2012 18:11:57 +0200 Subject: [PATCH] [doc] listings eingebunden --- doc/doc.bib | 40 +++++++++++++++++++++++++++++++++ doc/doc.pdf | Bin 237710 -> 252819 bytes doc/doc.tex | 58 +++++++++++++++++++++++++++++++++++++----------- doc/lstings.sty | 54 ++++++++++++++++++++++++++++++++++++++++++++ src/compute.m | 18 +++++++-------- 5 files changed, 147 insertions(+), 23 deletions(-) create mode 100644 doc/doc.bib create mode 100755 doc/lstings.sty diff --git a/doc/doc.bib b/doc/doc.bib new file mode 100644 index 0000000..a4b22bb --- /dev/null +++ b/doc/doc.bib @@ -0,0 +1,40 @@ +@comment{x-kbibtex-personnameformatting=<%l><, %f>} + +@article{dor:adapt, + __markedentry = "[treecity:6]", + abstract = "We construct a converging adaptive algorithm for linear elements applied to Poisson's equation in two space dimensions. Starting from a macro triangulation, we describe how to construct an initial triangulation from a priori information. Then we use a posteriori error estimators to get a sequence of refined triangulations and approximate solutions. It is proved that the error, measured in the energy norm, decreases at a constant rate in each step until a prescribed error bound is reached. Extensions to higher-order elements in two space dimensions and numerical results are included.", + author = "Dörfler, Willy", + copyright = "Copyright © 1996 Society for Industrial and Applied Mathematics", + issn = "00361429", + journal = "SIAM Journal on Numerical Analysis", + jstor_articletype = "research-article", + jstor_formatteddate = "Jun., 1996", + number = "3", + owner = "treecity", + pages = "pp. 1106--1124", + publisher = "Society for Industrial and Applied Mathematics", + timestamp = "2012.10.04", + title = "{A Convergent Adaptive Algorithm for Poisson's Equation}", + url = "http://www.jstor.org/stable/2158497", + volume = "33", + year = "1996" +} + +@article{fer:errbem, + author = "Ferraz-Leite, Samuel and Praetorius, Dirk", + journal = "Computing", + number = "4", + pages = "135--162", + title = "{Simple a posteriori error estimators fot the h-version of the boundary element method}", + volume = "83", + year = "2008" +} + +@techreport{mai:3dbem, + author = "Maischak, Matthias", + institution = "Institut f{\"u}r Angewandte Mthematik, University of Hannover", + month = jul, + title = "{The analytical computation of the Galerkin elements for the Laplace, Lam{\'e} and Helmholtz equation in 3D-BEM}", + year = "2000" +} + diff --git a/doc/doc.pdf b/doc/doc.pdf index 8b35c2c45c492a93a510069220687427ba2c978c..5970c0c4e79ff72fcef6b0914b9b03105b3c31c2 100644 GIT binary patch delta 185236 zcmZU)Q*bT}6RjEB$&PK?wr$(ClQ*_)+fH`u?AW$#d%jaO|IEd?TeYscs_R*+J8l3W zxg9Y<8X)C>!-3X&sd2_h%ZPe2Id7FqESAh3HzyK|pW~T` zZYmfF4vHQ=iIa4D_=-L=MpZwYa%k}3=fUsgTrlN>MU%kT6wF+p}2!srzN$p(76S-dl_8 zuxN5&FuHlyWGaLApkf>U;hSdAtn?Hjamf6a3|iYsL)ZG0y1b}dF@dRSg=-uYC8gW3 z$E>Q0#;|{nN&X&5r5HTg9=>Pjj^LdZ2B6V~Ky&*#U!rBGyL!D7?oG7XF^HJs7Q}Lm z^iD53h~QahK6b7+Ro@*XCXN=++$(Y9^e^KC4j@7SR~z6OG%;%o`)tElvVw0_zG3}z z6g~@aDKO)#J&&MiOBof!DRZ8yRp6;A&F#sOJiUUIQEln~*#?RCo}+8H!j1b213>TC z0hz@c2!Pm6xWv|{JIgzf|V^5 z-$d$89PS|7TM8AfC+0AsArr<-$i`0IoE5YVSM=Ks`hd|8`<1rz6%$3QUAl&X4e|69 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z&_@;;YzSe#FA)C!N7Z1jfKpTl(3S+5An9-bSd15t=%ef^m?(o>&=84ttm#JM4;>!Z2sWs`$g5|=|Kj!^=4?<;kTr*b zp_D!bINT?#9%cPba=-|G)sC{6ln?|yPsA$m`b) MEX V_fine = mex_build_V(coo_fine,ele_fine,zeta,type(i)); - %Testet auf Fehlerhafte Einträge (NaN +/-Inf) + %Testet auf Fehlerhafte Eintraege (NaN +/-Inf) [r c] = find(isnan(V_fine)~=isinf(V_fine)); if(~isempty(r)) figure(9) @@ -60,11 +58,11 @@ for j = 1:times end if(~vcon) - %Lösung Berechnen + %Loesung Berechnen x_fine = V_fine\b_fine; con = cond(V_fine); else - %Vorkonditionierte Lösung! + %Vorkonditionierte Loesung! D = diag(diag(V_fine.^(-1/2))); A = D * V_fine * D; @@ -77,7 +75,7 @@ for j = 1:times % \tilde \mu ( \Pi h -h + L_2 ) tmu = hmin.* b .* sum((x_fine(f2s)'-repmat(sum(x_fine(f2s)',1)/4,4,1)).^2)' /4; - %Fehlerschätzer 2 aufbauen + %Fehlerschaetzer 2 aufbauen V = mex_build_V(coordinates,elements,zeta,type(i)); if(~vcon) @@ -197,7 +195,7 @@ for j = 1:times % marked = ones(1,size(G_E,1)); % marked(find(sum((G_N(:,1:4)==0),2))) = 2; - % Markieren mit gewählten Parametern + % Markieren mit gewaehlten Parametern marked = mark(x_fine(f2s)',tmu,theta,nu); % Netz bunt Plotten! @@ -306,4 +304,4 @@ function str = t2str(time) end str = [num2str(round(time*1000)/1000) type]; -end \ No newline at end of file +end -- 2.47.3