fmesher_fem

Construct finite element structure matrices

Generate planar and spherical triangle meshes,
compute finite element calculations for 1- and 2-dimensional flat and curved
manifolds with associated basis function spaces, methods for lines and
polygons, and transparent handling of coordinate reference systems and
coordinate transformation, including 'sf' and 'sp' geometries. The core
'fmesher' library code was originally part of the 'INLA' package, and
implements parts of "Triangulations and Applications" by
Hjelle and Daehlen (2006) <doi:10.1007/3-540-33261-8>.

Finn Lindgren

fmesher

Triangle Meshes and Related Geometry Tools

Seaton Andy

Suen Man Ho

Fabian E. Bachl

fmesher_fem function

<dl><dt>mesh_loc</dt>
<dd>numeric matrix; mesh vertex coordinates</dd>
<dt>mesh_tv</dt>
<dd>3-column integer matrix with 0-based vertex indices for each triangle</dd>
<dt>fem_order_max</dt>
<dd>integer; the highest operator order to compute</dd>
<dt>aniso</dt>
<dd>If non-NULL, a <code>list(gamma, v)</code>. Calculates anisotropic structure
matrices (in addition to the regular) for \(\gamma\) and \(v\) for
an anisotropic operator \(\nabla\cdot H \nabla\), where
\(H=\gamma I + v v^\top\).
Currently (2023-08-05) the fields need to be given per vertex.</dd>
<dt>options</dt>
<dd>list of triangulation options (<code>sphere_tolerance</code>)</dd></dl>

Arguments

Finite element matrix computation — fmesher_fem

<dl>

<dt>mesh_loc</dt>
<dd>numeric matrix; mesh vertex coordinates</dd>


<dt>mesh_tv</dt>
<dd>3-column integer matrix with 0-based vertex indices for each triangle</dd>


<dt>fem_order_max</dt>
<dd>integer; the highest operator order to compute</dd>


<dt>aniso</dt>
<dd>If non-NULL, a <code>list(gamma, v)</code>. Calculates anisotropic structure
matrices (in addition to the regular) for \(\gamma\) and \(v\) for
an anisotropic operator \(\nabla\cdot H \nabla\), where
\(H=\gamma I + v v^\top\).
Currently (2023-08-05) the fields need to be given per vertex.</dd>


<dt>options</dt>
<dd>list of triangulation options (<code>sphere_tolerance</code>)</dd>

</dl>

fmesher_fem: Finite element matrix computation

Description

Usage

Value

Arguments

Examples