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initialize_GAUSS.h

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00001 /*
00002    This file belongs to Aeneas. Aeneas is a GNU package released under GPL 3 license.
00003    This code is a simulator for Submicron 3D Semiconductor Devices. 
00004    It implements the Monte Carlo transport in 3D tetrahedra meshes
00005    for the simulation of the semiclassical Boltzmann equation for both electrons.
00006    It also includes all the relevant quantum effects for nanodevices.
00007 
00008    Copyright (C) 2007 Jean Michel Sellier <sellier@dmi.unict.it>
00009  
00010    This program is free software; you can redistribute it and/or modify
00011    it under the terms of the GNU General Public License as published by
00012    the Free Software Foundation; either version 3, or (at your option)
00013    any later version.
00014 
00015    This program is distributed in the hope that it will be useful,
00016    but WITHOUT ANY WARRANTY; without even the implied warranty of
00017    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
00018    GNU General Public License for more details.
00019 
00020    You should have received a copy of the GNU General Public License
00021    along with this program. If not, see <http://www.gnu.org/licenses/>.
00022 */
00023 
00024 // Created on : 06 june 2007, Siracusa, Jean Michel Sellier
00025 // Last modified : 06 june 2007, Siracusa, Jean Michel Sellier
00026 
00027 // see french book pag.319 tab.9.3
00028 // Gauss Formula in 4 points and 3 dimensions
00029 // ********
00030 // xi[0][i] reppresents the local coordinate \xi
00031 // xi[1][i] reppresents the local coordinate \eta
00032 // xi[2][i] reppresents the local coordinate \xeta
00033 // ********
00034 
00035 void initialize_GAUSS(void)
00036 {
00037 double a=(5.-sqrt(5))/20.;
00038 
00039 // the local coordinate \xi
00040  xi[0][0] =1.-3.*a;
00041  xi[0][1] =a;
00042  xi[0][2] =a;
00043  xi[0][3] =a;
00044 
00045 // the local coordinate \eta
00046  xi[1][0] =a;
00047  xi[1][1] =1.-3.*a;
00048  xi[1][2] =a;
00049  xi[1][3] =a;
00050 
00051 // the local coordinate \xeta
00052  xi[2][0] =a;
00053  xi[2][1] =a;
00054  xi[2][2] =1.-3.*a;
00055  xi[2][3] =a;
00056 
00057 // the gaussian weights
00058  omega[0] =0.25;
00059  omega[1] =0.25;
00060  omega[2] =0.25;
00061  omega[4] =0.25;
00062 
00063  printf("Gauss integration formula points and weights initialised...\n");
00064 }
00065 

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