mass.FEM

mass.FEM produces the mass matrix containing integrals of products of
 the nodal functions.

Finite element modeling (FEM) uses meshes of triangles to define surfaces.
A surface within a triangle may be either linear or quadratic.
In the order one case each node in the mesh is associated with a basis
function and the basis is called the order one finite element basis.
In the order two case each edge mid-point is also associated with a basis
function. Functions are provided for smoothing, density function estimation
point evaluation and plotting results. Two papers illustrating the
finite element data analysis are Sangalli, L.M., Ramsay, J.O.,
Ramsay, T.O. (2013)<http://www.mox.polimi.it/~sangalli> and
Bernardi, M.S, Carey, M., Ramsay, J. O., Sangalli, L.
(2018)<http://www.mox.polimi.it/~sangalli>. Modelling
spatial anisotropy via regression with partial differential
regularization Journal of Multivariate Analysis, 167, 15-30.

James Ramsay

SpatialfdaR

Spatial Functional Data Analysis

Spencer Graves

mass.FEM function

<dl> <dt>FEMbasis</dt>
<dd>A List object produced by function <code>create.FEM.basis</code>.
 It contains:<ul>
<li>orderThe order of the element (1 or 2).</li>
<li>nodesCoordinates of node points.</li>
<li>nodeindexIndices of node points for each element.</li>
<li>jvecJacobian of the affine transformation of each
 element to the master element.</li>
</ul></dd></dl>

Arguments

Author

Compute the mass matrix for a finite element basis. — mass.FEM

<dl>

 <dt>FEMbasis</dt>
<dd>A List object produced by function <code>create.FEM.basis</code>.
 It contains:<ul>
<li>orderThe order of the element (1 or 2).</li>
<li>nodesCoordinates of node points.</li>
<li>nodeindexIndices of node points for each element.</li>
<li>jvecJacobian of the affine transformation of each
 element to the master element.</li>
</ul></dd>

</dl>

mass.FEM: Compute the mass matrix for a finite element basis.

Description

Usage

Value

Arguments

Author

References

See Also