$$ \newcommand{\tp}{\thinspace .} \newcommand{\x}{\boldsymbol{x}} \renewcommand{\u}{\boldsymbol{u}} \renewcommand{\v}{\boldsymbol{v}} \newcommand{\V}{\boldsymbol{V}} \newcommand{\baspsi}{\psi} \newcommand{\dx}{\, \mathrm{d}x} $$
Variational forms for systems of PDEs
Contents
Variational forms
Sequence of scalar PDEs formulation
Vector PDE formulation
A worked example
Identical function spaces for the unknowns
Variational form of each individual PDE
Compound scalar variational form
Decoupled linear systems
Coupled linear systems
Different function spaces for the unknowns
Computations in 1D
Bibliography
Bibliography
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