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Medusa: Coordinate Free Meshless Method implementation
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From Medusa: Coordinate Free Meshless Method implementation
Line 12: Line 12:
\end{align}
\end{align}
$
$
where $u = TODO$ and $f$, $g_d$ and $g_n$ are computed from $u$.


TODO: JureMB
TODO: JureMB

Revision as of 14:04, 19 July 2019

Medusa library support users defining custom basis types, weights, operators and more, as long as they conform to the prescribed interfaces, given in the Concepts page. Here we show this on an example of the biharmonic equation.

Biharmonic equation

We solve the problem

$ \begin{align}

 \nabla^4 u &= f      &&\text{in } \Omega, \\
 u &= g_d           &&\text{on } \partial \Omega,\\
 \frac{\partial u}{\partial \vec n} &= g_n           &&\text{on } \partial \Omega, 

\end{align} $ where $u = TODO$ and $f$, $g_d$ and $g_n$ are computed from $u$.

TODO: JureMB