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Update 2024-05-25-mpm-introduction.md
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bpatzak authored May 25, 2024
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Expand Up @@ -37,7 +37,7 @@ where

As this in general yields to a nonlinear system of equations, the term on left hand side evaluates
* residual contribution for given element, esentially evaluating itself with all variables known. In our example this corresponds to evaluating $`\int_\Omega^e (\partial N)^T\sigma(\partial N r_u)\ d\Omega^e`$
* its linearization, cooresponding in our case to $`\int_\Omega^e (\partial N)^T {{\partial \sigma}\over{\partial \varepsilon}} (\partial N)\ d\Omega^e`$.
* its linearization, cooresponding in our case to $`\int_\Omega^e (\partial N)^T \frac{\partial \sigma}{\partial \varepsilon} (\partial N)\ d\Omega^e`$.


### Simple example
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