Difference between revisions of "Customization"
From Medusa: Coordinate Free Mehless Method implementation
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Medusa library support users defining custom basis types, weights, operators and more, as long as they conform to the prescribed interfaces, given in the [http://e6.ijs.si/medusa/docs/html/concepts.html Concepts page]. | Medusa library support users defining custom basis types, weights, operators and more, as long as they conform to the prescribed interfaces, given in the [http://e6.ijs.si/medusa/docs/html/concepts.html Concepts page]. | ||
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| + | == Custom stencil selection == | ||
| + | TODO | ||
| + | |||
| + | == Custom RBF definition == | ||
| + | TODO | ||
== Custom operators: Biharmonic equation == | == Custom operators: Biharmonic equation == | ||
Revision as of 16:37, 10 June 2020
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.
Custom stencil selection
TODO
Custom RBF definition
TODO
Custom operators: Biharmonic equation
Biharmonic operator $\nabla^4$ is not included in Medusa by default, but it is easy to define.
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
