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newmaterialmisc.tex
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%\documentclass[10pt]{article}
\documentclass[11pt]{report}
%Font packages
\usepackage[T1]{fontenc}
\usepackage[latin1]{inputenc}
\usepackage{import}
%Bilbiography styles
\bibliographystyle{ieeetr}
% List of acronyms
\usepackage{longtable}
\usepackage[acronym]{glossaries}
%% Math Packages %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\usepackage{amsmath}
\usepackage{amsthm}
\usepackage{amsfonts}
\usepackage{bbm}
\usepackage{amssymb}
\usepackage{booktabs}
\usepackage{geometry}
%% Reduce spacing between paragraph and section title %%%%%%%
%% @todo: Put this modification in the class file itself.
\usepackage{titlesec}
\titlespacing*{\section}
{0pt}{-5pt}{0pt}
\titlespacing*{\subsection}
{0pt}{-5pt}{0pt}
\usepackage{indentfirst} %Indents first paragraphs in every section.
%% Flush footnotes to the left
\usepackage[hang,flushmargin]{footmisc}
%% Places footnotes immediately below horizontal rule
\setlength{\footnotesep}{0pt}
%% Normal LaTeX or pdfLaTeX? %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\RequirePackage{ifpdf}
%% Packages for Graphics & Figures %%%%%%%%%%%%%%%%%%%%%%%%%%
\ifpdf %%Inclusion of graphics via \includegraphics{file}
\usepackage[pdftex]{graphicx} %%graphics in pdfLaTeX
\else
\usepackage[dvips]{graphicx} %%graphics and normal LaTeX
\fi
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% DOCUMENT SETTINGS
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\title{Deep Neural Network Solution Methods for First Order Least Squares Formulations of PDEs in Fluid and Solid Mechanics}
\author{Dissertation Author}
%\committee{Advisor}{Committee Member}{Committee Member}{Committee Member}{Committee Member}
\date{January 1, 1970}
%\input{abstract.tex}
%
%\dedication{To Wawa}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% GLOSSARIES AND ABBREVIATIONS
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% To update the printed glossary, you need to run:
% - pdflatex dissertation
% - makeglossaries dissertation
% - pdflatex dissertation
% On Windows, you might need to install Perl first.
\newacronym{unc}{UNC}{The University of North Carolina at Chapel Hill}
\makeglossaries
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% DOCUMENT
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\linespread{1.0}
%% File Extensions of Graphics %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\ifpdf
\DeclareGraphicsExtensions{.pdf,.jpg,.png}
\else
\DeclareGraphicsExtensions{.eps}
\fi
\pagestyle{plain}
\title{A LEAST-SQUARES FINITE ELEMENT METHOD FOR THE STOKES AND NAVIER-STOKES EQUATIONS }
\author{ABSTRACT OF THESIS submitted by Paul Bolton for the Degree of Doctor\\
of Philosophy and entitled A Least-Squares Finite Element Method for the\\
Stokes and Navier-Stokes Equations.}
\date{}
\begin{document}
% \maketitle
\section{Chapter 1}
$$\left\|\mathbf{u}-\mathbf{u}^h\right\|_{0, \beta}$$
%\input{/home/chaztikov/git/modulus_examples/fosls_examples/quasitgvortex_2d/BercovierEngelman/bercovierengelman_v2_2d/results/mytable.tex}
%\input{"/home/chaztikov/git/modulus_examples/fosls_examples/regularizedtanh_ldc_2d/importance_sampling/results/errors.tex"}
%\include{/home/chaztikov/git/modulus_examples/fosls_examples/regularizedtanh_ldc_2d/importance_sampling/results/texcommands.tex}
\input{"/home/chaztikov/git/modulus_examples/fosls_examples/regularizedtanh_ldc_2d/importance_sampling/results/vp_L2Area_Residuals.tex"}
\input{"/home/chaztikov/git/modulus_examples/fosls_examples/regularizedtanh_ldc_2d/importance_sampling/results/vvp_L2Area_Residuals.tex"}
%
\input{"/home/chaztikov/git/modulus_examples/fosls_examples/regularizedtanh_ldc_2d/importance_sampling/results/vps_L2Area_Residuals.tex"}
%
\input{"/home/chaztikov/git/modulus_examples/fosls_examples/regularizedtanh_ldc_2d/importance_sampling/results/vp_L2Area_Residuals.tex"}
\input{/home/chaztikov/git/modulus_examples/fosls_examples/regularizedtanh_ldc_2d/importance_sampling/results/vp_L1Area_Residuals.tex}
%
\input{/home/chaztikov/git/modulus_examples/fosls_examples/regularizedtanh_ldc_2d/importance_sampling/results/vp_LinftyArea_Residuals.tex}
%\input{/home/chaztikov/git/modulus_examples/fosls_examples/regularizedtanh_ldc_2d/importance_sampling/results/vvg_L2AreaAbsoluteResidual_Residuals.tex}
%\input{/home/chaztikov/git/modulus_examples/fosls_examples/regularizedtanh_ldc_2d/importance_sampling/results/vvt_L2AreaAbsoluteResidual_Residuals.tex}
%\caption{L2 Norm of Residuals, mfosls formulation}
%\input{/home/chaztikov/git/modulus_examples/fosls_examples/regularizedtanh_ldc_2d/importance_sampling/results/errors.tex}
\input{/home/chaztikov/git/modulus_examples/fosls_examples/utils/regularized_ldc_2d/l2_relative_error_u_128_10_adam.tex}
\include{ch-LeastSquaredFiniteElementMethod}
%\include{ch-Stokes_FOSLS}
\include{NNFEM.tex}
\include{PINNConvergence.tex}
\include{LEFormulationComparison.tex}
\include{LESoftHardBC.tex}
\input{/home/chaztikov/git/modulus_examples/fosls_examples/quasitgvortex_2d/BercovierEngelman/bercovierengelman_v2_2d/results/mytable.tex}
\include{appendex.tex}
\include{ch-ElastoPlasticity.tex}
\end{document}