triquad

The integral of a function over a triangle is approximated by a weighted sum
 of the values of the function at a set of points.

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

triquad function

<dl> <dt>nquad</dt>
<dd>The number of quadrature points and weights is $N^2$.</dd> <dt>v</dt>
<dd>A matrix with three rows and two columns containing the locations
 of the vertices of the triangle.</dd></dl>

Arguments

Author

Set up Gaussian quadrature points and weights for a triangular domain. — triquad

<dl>

 <dt>nquad</dt>
<dd>The number of quadrature points and weights is $N^2$.</dd>

 <dt>v</dt>
<dd>A matrix with three rows and two columns containing the locations
 of the vertices of the triangle.</dd>

</dl>

triquad: Set up Gaussian quadrature points and weights for a triangular domain.

Description

Usage

Value

Arguments

Author

Details

References