.

main.tex

@@ -5,12 +5,17 @@
   \title
   [Convergent Slender Body Quadrature]
   {Convergent Slender Body Quadrature}
-  \author[Dhairya Malhotra]{ \underline{Dhairya~Malhotra}, ~{Alex Barnett}}
+  %\author[Dhairya Malhotra]{ \underline{Dhairya~Malhotra}, ~{Alex Barnett}}
+  \author[Dhairya Malhotra]{Code: {\color{blue} \url{https://github.com/dmalhotra/CSBQ}} \\
+  \phantom{.}\\
+   \underline{Dhairya~Malhotra}, ~{Alex Barnett}}
+
 
   %\institute{Flatiron Institute\\ \mbox{}  \\  \pgfuseimage{FIbig} }
   %\institute{\pgfuseimage{FIbig} }
 
-  \date[]{{\color{blue} https://github.com/dmalhotra/CSBQ} \\ June 13, 2024}
+  %\date[]{Code: {\color{blue} \url{https://github.com/dmalhotra/CSBQ}} \\ June 13, 2024}
+  \date[]{June 13, 2024}
 %>>>
 %<<< packages
   \usepackage{tikz}
@@ -62,6 +67,16 @@
   \def\ie{\latinabbrev{i.e}}
 
   \definecolor{DarkGreen}{RGB}{0,130,0}
+
+  \usepackage{minted}
+  \usemintedstyle{vs}
+  %\usemintedstyle{borland}
+
+  %\usemintedstyle{emacs}
+  %\usemintedstyle{perldoc}
+  %\usemintedstyle{friendly}
+  %%\usemintedstyle{pastie}
+  %%\usemintedstyle{vim}
 %>>>
 
   \newcommand\vct[1]{{\ensuremath{\bm{#1}}}}
@@ -985,7 +1000,7 @@
     \vspace{1.0em}
     {\bf BIE formulation:}\quad
     $
-    \displaystyle (\mathcal{I}/2 + \StokesDL + \StokesSL~/~({\color{red}2 \varepsilon \log \varepsilon^{-1}}) )[{\bm \sigma}] = {\bm u_0}
+    \displaystyle (I/2 + D + S~/~({\color{red}2 \varepsilon \log \varepsilon^{-1}}) ) \, {\bm \sigma} = {\bm u_0}
     $
 
 
@@ -1197,7 +1212,7 @@
 
       \vspace{0.3em}
       \qquad$\qquad\displaystyle
-      (\convop{I}/2 + \StokesDL)[{\color{red}\vct{\sigma}}] + \sum_{i=1}^{6n} \mathfrak{v}_i \mathfrak{v}_i^T {\color{red}\vct{\sigma}} = \vct{u}_s - \StokesSL[\vct{\nu}]
+      (I/2 + D) \, {\color{red}\vct{\sigma}} + \sum_{i=1}^{6n} \mathfrak{v}_i \mathfrak{v}_i^T {\color{red}\vct{\sigma}} = \vct{u}_s - S \, \vct{\nu}
       $
 
       \vspace{0.5em}{\em(Pozrikidis - Boundary Integral and Singularity Methods for Linearized Viscous Flow)}
@@ -1226,13 +1241,13 @@
           %\quad $\displaystyle u(x) \rightarrow 0 ~\text{as}~ |x|\rightarrow \infty$
 
           \vspace{1em}
-          $\kappa(\StokesSL)$ \hfill $\sim 2.6e6$
+          $\kappa(S)$ \hfill $\sim 2.6e6$
 
           \vspace{1em}
-          $\kappa(\mathcal{I}/2 + \StokesDL)$ \hfill $\sim 4.3e6$
+          $\kappa(I/2 + D)$ \hfill $\sim 4.3e6$
 
           \vspace{1em}
-          $\kappa(\mathcal{I}/2 + \StokesDL + 16 \StokesSL)$ \hfill $\sim 80$
+          $\kappa(I/2 + D + 16 S)$ \hfill $\sim 80$
 
         \column{0.1\textwidth}
 
@@ -1242,10 +1257,10 @@
 
       \vspace{3em}
       \begin{itemize}
-        \item For infinite cylinder (Laplace case): ~~ $\kappa(\mathcal{I}/2 + \StokesDL) ~\sim~ 1/(\varepsilon^{2} \log \varepsilon^{-1})$
+        \item For infinite cylinder (Laplace case): ~~ $\kappa(I/2 + D) ~\sim~ 1/(\varepsilon^{2} \log \varepsilon^{-1})$
 
           \vspace{0.5em}
-        \item Combined field operator well-conditioned: ~~ $\mathcal{I}/2 + \StokesDL + \StokesSL ~/~ (2\varepsilon \log \varepsilon^{-1})$
+        \item Combined field operator well-conditioned: ~~ $I/2 + D + S ~/~ (2\varepsilon \log \varepsilon^{-1})$
       \end{itemize}
 
     \end{FIframe} %>>>
@@ -1306,7 +1321,7 @@
 
       \vspace{0.3em}
       \qquad$\qquad\displaystyle
-      (\convop{I}/2 + \StokesCF)[{\color{red}\vct{\sigma}} - \sum_{i=1}^{6n} \mathfrak{v}_i \mathfrak{v}_i^T {\color{red}\vct{\sigma}} ] + \sum_{i=1}^{6n} \mathfrak{v}_i \mathfrak{v}_i^T {\color{red}\vct{\sigma}} = \vct{u}_s - \StokesSL[\vct{\nu}]
+      (I/2 + K) \, \left( {\color{red}\vct{\sigma}} - \sum_{i=1}^{6n} \mathfrak{v}_i \mathfrak{v}_i^T {\color{red}\vct{\sigma}} \right) + \sum_{i=1}^{6n} \mathfrak{v}_i \mathfrak{v}_i^T {\color{red}\vct{\sigma}} = \vct{u}_s - S \, \vct{\nu}
       $
 
       \vspace{1em}
@@ -1520,7 +1535,7 @@
 
             \vspace{0.5em}
             \begin{tabular}{r | r r r r r}
-              \parbox[t]{2mm}{\multirow{5}{*}{\rotatebox[origin=c]{-90}{correction $\rightarrow$}}} 
+              \parbox[t]{2mm}{\multirow{5}{*}{\rotatebox[origin=c]{-90}{correction $\rightarrow$}}}
                 & \multicolumn{5}{c}{sub-step $\rightarrow$}  \\
               \hline
                                       & 66 & 66 & 66 & 66 & 66    \\
@@ -1536,7 +1551,7 @@
 
             \vspace{0.5em}
             \begin{tabular}{r | r r r r r}
-              \parbox[t]{2mm}{\multirow{5}{*}{\rotatebox[origin=c]{-90}{correction $\rightarrow$}}} 
+              \parbox[t]{2mm}{\multirow{5}{*}{\rotatebox[origin=c]{-90}{correction $\rightarrow$}}}
                 & \multicolumn{5}{c}{sub-step $\rightarrow$}  \\
               \hline
                                       & 66 & 30 & 22 & 45 & 30    \\
@@ -1620,6 +1635,107 @@
     \end{FIframe} %>>>
   %>>>
 
+  \section{Software} %<<<
+
+  \begin{frame}[t,fragile] \frametitle{CSBQ library}{} %<<<
+
+    \vspace{1em}
+    {\bf Code:} ~~ {\color{blue} \url{https://github.com/dmalhotra/CSBQ}}
+
+    \vspace{1em}
+    {\bf Requirements:} ~~ C++11 compiler ~~with~~ OpenMP 4.0
+
+    \vspace{1em}
+    {\bf Build system:} ~~ none (header only)
+
+    \vspace{0.5em}
+    \begin{minted}[
+        %frame=lines,
+        fontsize=\footnotesize,
+        %linenos,
+        gobble=0,
+        mathescape
+      ]{C++}
+               #include <csbq.hpp>
+    \end{minted}
+
+
+    \vspace{3em}
+    {\bf Optional dependencies:} ~~ BLAS, LAPACK, MPI, and PVFMM
+
+      %\begin{itemize}
+      %\item includes simple `Makefile' for example codes.
+      %\end{itemize}
+
+  \end{frame}
+  %>>>
+
+  \begin{frame} \frametitle{Library classes}{} %<<<
+
+    \resizebox{1.05\linewidth}{!}{\begin{tikzpicture}
+
+      \node[anchor=north west, draw=none, rounded corners=.45cm, minimum height=7cm, minimum width=15.2cm] at (-0.1,1.6) {};
+
+      \only<3->{
+        \node[anchor=north west, draw=blue,thick, rounded corners=.45cm] at (1.0,1.5) {\begin{tabular}{c} \bf Taylor states  \end{tabular}};
+        \node[anchor=north west, draw=blue,thick, rounded corners=.45cm] at (5.3,1.5) {\begin{tabular}{c} \bf Vacuum fields  \end{tabular}};
+        \node[anchor=north west, draw=blue,thick, rounded corners=.45cm] at (9.8,1.5) {\begin{tabular}{c} \bf Virtual casing     \end{tabular}};
+
+        \draw [line width=1mm] (0,0.25) -- (15.0,0.25);
+      }
+
+
+      \only<2->{
+        \node[anchor=north west, draw=red,thick, rounded corners=.55cm] at (0,0) {\small
+        \begin{tabular}{c}
+          {\bf Surface} \\
+          W7X, LHD, \\
+          QAS3, etc, \\
+          $(\mathbf{X}, \mathbf{Y}, \mathbf{Z})$
+        \end{tabular}};
+
+        \node[anchor=north west, draw=red,thick, rounded corners=.55cm] at (2.7,0) {\small
+        \begin{tabular}{c}
+          {\bf SurfaceOp} \\
+          resample, $\mathbf{n}$, \\
+          $\nabla_{\Gamma}$,~
+          $\nabla_{\Gamma} \cdot$, \\
+          $\nabla_{\Gamma} \times$,~
+          $\Delta_{\Gamma}$,\\
+          $\Delta^{-1}_{\Gamma}$
+        \end{tabular}};
+
+        \node[anchor=north west, draw=red,thick, rounded corners=.55cm] at (5.8,0) {\small
+        \begin{tabular}{c}
+          {\bf BoundaryIntegralOp}\\
+          $\int\limits_\Gamma \sigma(\mathbf{r}') K(\mathbf{r}-\mathbf{r}') d a(\mathbf{r}')$
+        \end{tabular}};
+
+        \node[anchor=north west, draw=red,thick, rounded corners=.55cm] at (10.9,0) {\small
+        \begin{tabular}{c}
+          {\bf KernelFunction}\\
+            Laplace, Helmholtz, \\
+            Biot-Savart, etc.
+        \end{tabular}};
+      }
+
+      \node[anchor=north west, draw=black,thick, rounded corners=.55cm] at (1,-3.3) {\small
+      \begin{tabular}{c}
+        {\bf SCTL:} Scientific Computing Template Library\\
+        \hspace{30em} \\
+        \\
+      \end{tabular}};
+
+      \node[anchor=north west, draw=red,thick, rounded corners=.45cm] at  (2,-4.1) {\begin{tabular}{c} \bf Vector \end{tabular}};
+      \node[anchor=north west, draw=red,thick, rounded corners=.45cm] at  (5,-4.1) {\begin{tabular}{c} \bf Matrix \end{tabular}};
+      \node[anchor=north west, draw=red,thick, rounded corners=.45cm] at  (8,-4.1) {\begin{tabular}{c} \bf GMRES \end{tabular}};
+      \node[anchor=north west, draw=red,thick, rounded corners=.45cm] at (11,-4.1) {\begin{tabular}{c} \bf FFT \end{tabular}};
+
+    \end{tikzpicture}}
+
+  \end{frame}%>>>
+
+  %>>>
 
   \section{Conclusions} %<<<
 

makefile

@@ -1,5 +1,5 @@
-compilePdfOptions=#-interaction=nonstopmode
-compPdftex=pdflatex ${compilePdfOptions}
+compilePdfOptions=--shell-escape #-interaction=nonstopmode
+compPdftex=lualatex ${compilePdfOptions}
 compile= ${compPdftex}
 
 TARGET=main.pdf
@@ -22,7 +22,7 @@ bin/%.pdf : ${FILES}
 	${compile} $*
 	${compile} $*
 	mv $*.pdf $@
-	cp $@ ~/Dropbox/2024-04-talk-yale.pdf
+	cp $@ ~/Dropbox/2022-10-talk-fwam.pdf
 	${SUMMARY} *.log *.blg
 	#make clean
 	@echo Done ....!
@@ -35,7 +35,7 @@ fast/%.pdf : ${FILES}
 	#${compile}  $*
 	#${compile}  $*
 	mv $*.pdf $@
-	cp $@ ~/Dropbox/2024-04-talk-yale.pdf
+	cp $@ ~/Dropbox/2022-10-talk-fwam.pdf
 	@echo Done ....!
 
 ########################  CLEAN  ########################
@@ -46,6 +46,6 @@ cleanall: clean
 
 clean:
 	rm -f *.aux *.dvi *.blg *.bbl *.out *.log */*.log */*/*.log *~ */*~ */*/*~
-	rm -f *.toc *.snm *.out *.nav *.cb *.cb2
+	rm -f *.toc *.snm *.out *.nav *.cb *.cb2 *.vrb
 	@echo Cleaned ....! 
 

notes.txt

@@ -4,3 +4,6 @@ discretize geometry
 discretize integral equation
 post process
 
+
+TODO: Fix notation for boundary integral operator (regular font) and layer-potential representation (mathcal)
+