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In all cases, several functions can be used to generate the linear system (`Generate`) and the Jacobian matrix (`GenerateJac`) and the associated right-hand sides. The function (`GetResidual`) can also be used to explicitly evaluate the residual (see below).
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## Nonlinear solvers
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## Basic concepts
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For linear problems, the finite element method leads to the solution of linear
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systems of algebraic equations of the form:
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