latex_symbols_feti.tex

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% Text Abbreviations

\newcommand{\dm}[3]{#1: #2 \times #3} % matrix dimensions
\newcommand{\dq}[2]{\dm{#1}{#2}{#2}}  % quadratic matrix dimensions

\newcommand{\nbc}{\textsc{Neumann} boundary condition}
\newcommand{\dbc}{\textsc{Dirichlet} boundary condition}
\newcommand{\nbcs}{\nbc{s}}
\newcommand{\dbcs}{\dbc{s}}
\newcommand{\nbcl}{\nbc~}
\newcommand{\dbcl}{\dbc~}
\newcommand{\nbcsl}{\nbcs~}
\newcommand{\dbcsl}{\dbcs~}

\newcommand{\LM}{\textsc{Lagrange} Multiplier}
\newcommand{\LMs}{\LM{s}}
\newcommand{\LMl}{\LM~}
\newcommand{\LMsl}{\LMs~}

\newcommand{\minimize}[2]{\underset{#1}{\text{min}} \left[ #2 \right]}
\newcommand{\diag}[1]{\text{diag}\left(#1\right)}

\newcommand{\sv}[1]{{\vec{#1}^{(s)}}}
\newcommand{\s}[1]{{{#1}^{(s)}}}

\newcommand{\im}{\text{im}}
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% -------------------------------------------------------------------
% Formula Constructions
\newcommand{\sub}[2]{#1^{(#2)}}
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% Math Symbols
%Small and Capitals
%Normal Letters
%Curved Letters \mathcal{ABC}
%Greek Letters
% -------------------------------------------------------------------


% -------------------------------------------------------------------
% Math Symbols: global
\newcommand{\glbStiff}{\vec{\hat{K}}}
\newcommand{\glbForceExt}{\vec{\hat{f}}}
\newcommand{\glbDisp}{\vec{\hat{u}}}
\newcommand{\glbNrDof}{\hat{N}_{dof}}
\newcommand{\glbDomain}{\Omega}
\newcommand{\glbBound}{\Gamma}
\newcommand{\glbBoundD}{\glbBound_D}
\newcommand{\glbBoundN}{\glbBound_N}
\newcommand{\glbBoundI}{\glbBound_I}
% -------------------------------------------------------------------


% -------------------------------------------------------------------
% Math Symbols: substructure local
\newcommand{\subDomain}{\glbDomain}
\newcommand{\subBound}{\glbBound}
\newcommand{\subBoundD}{\glbBoundD}
\newcommand{\subBoundN}{\glbBoundN}
\newcommand{\subBoundI}{\glbBoundI}
\newcommand{\subStiff}{\vK}
\newcommand{\subStiffI}{\vK_I} % trace of stiffness on interface
\newcommand{\subStiffi}{\vK_i} % internal part of stiffness
\newcommand{\subStiffIi}{\vK_I} % mixed Ii part of stiffness
\newcommand{\subStiffiI}{\vK_i} % mixed iI part of stiffness
\newcommand{\subForceExt}{\vf}
\newcommand{\subDisp}{\vu}
\newcommand{\subSchurKI}{\vK_SI} % schur complement of the stiffness on the interface
\newcommand{\subRbm}{\vR}
\newcommand{\subNrDofs}{N_{dof}}
\newcommand{\subNrSubs}{N_s}
\newcommand{\subNrLM}{N_{lm}}
\newcommand{\subNrRbm}{N_{rbm}}
% -------------------------------------------------------------------


% -------------------------------------------------------------------
% Math Symbols: interface
\newcommand{\ifFlex}{$\vF_I$}
\newcommand{\ifRbm}{\vG_{I,N}}
\newcommand{\ifAux}{\vG_{I,C}}
\newcommand{\ifFlexPrec}{\overline{\ifFlex^{-1}}}
\newcommand{\ifBrd}{\vGamma_I}
% -------------------------------------------------------------------