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| Authors: | A. Rojano, R. Salazar, U. Schmidt, C. Huber |
| Keywords: | interpolation, finite element, data recording |
Abstract:
Spatial distribution of either one or more variables is a problem of mathematical interpolation and gathered information from an experiment set up.
In general, spatial interpolation on irregular domains is afforded by means of a model given by differential equations subject to some constraints defined as boundary conditions.
Specifically, each part of the problem is afforded according to the following assumptions: first, the two dimensional domain is divided in 3152 triangles with 1663 nodes; second, the interpolation functions are linear in two spatial variables satisfying Lagrangian conditions; third, the differential equation is a Laplacian subjected to Dirichlet boundary conditions; and fourth, experimentally, the information is gathered by using a Phytomonitoring system (PTF) and interpolated each five minutes for the three variables like Temperature (T), Relative humidity (RH) and Carbon Dioxide (CO2) in the Venlo Greenhouse of the Humboldt University at Berlin from August 16 to October 28, 2007. Also, the same external variables were recorded with the same frequency, given the possibility to construct maps for each five minutes by using collected values for the three variables as boundary conditions.
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