triangulation_node_to_element

triangulation_node_to_element, a Fortran77 code which reads datafiles describing a set of nodes, their triangulation, and the value of one or more quantities at each node, and outputs a file that averages the quantities for each element. This operation in effect creates an order1 finite element model of the data.

The program reads three data files:

• a node file, containing X, Y coordinates of points;
• an element file, containing a list of sets of three points making up each triangular element; (if this file does not exist, the program will generate the element data automatically).
• a node values file, containing the values of one or more data items at each node.

• an element values file, containing the values of the data, averaged over the nodes in each element.

Usage:

triangulation_node_to_element prefix

• prefix_nodes.txt, lists the node coordinates;
• prefix_elements.txt lists the indices of nodes that form elements (this file is optional, and if not supplied, the information will be generated internally);
• prefix_values.txt contains the value assigned to each node.
• prefix_element_values.txt will contain the values averaged over the nodes in each element.

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

Languages:

triangulation_node_to_element is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version.

Related Data and Programs:

triangulation_node_to_element_test

mesh_to_xml, a Fortran77 code which reads information defining a 1D, 2D or 3D mesh, namely a file of node coordinates and a file of elements defined by node indices, and creates a corresponding XML file for input to DOLFIN or FENICS.

TRIANGULATION, a Fortran77 library which carries out various operations on order 3 ("linear") or order 6 ("quadratic") triangulations.

Source Code:

• triangulation_node_to_element.f, the source code.
• triangulation_node_to_element.sh, BASH commands to compile the source code.