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// This file is part of ff3d - http://www.freefem.org/ff3d
// Copyright (C) 2001, 2002, 2003 Stphane Del Pino
// This program is free software; you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation; either version 2, or (at your option)
// any later version.
// This program is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
// GNU General Public License for more details.
// You should have received a copy of the GNU General Public License
// along with this program; if not, write to the Free Software Foundation,
// Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
// $Id: P2Triangle3DFiniteElement.cpp,v 1.1 2005/09/25 14:04:32 delpinux Exp $
#include <P2Triangle3DFiniteElement.hpp>
TinyVector<3, real_t> P2Triangle3DFiniteElement::__massCenter(1./3., 1./3., 0);
real_t
P2Triangle3DFiniteElement::W(const size_t& i,
const TinyVector<3>& X) const
{
const real_t& x = X[0];
const real_t& y = X[1];
switch (i) {
// Vertices basis functions
case 0: {
return (1-x-y)*(1-x-y);
}
case 1: {
return x*x;
}
case 2: {
return y*y;
}
// Edges basis functions
case 3: {
return 4*x*y;
}
case 4: {
return 4*(1-x-y)*x;
}
case 5: {
return 4*(1-x-y)*y;
}
default: {
throw ErrorHandler(__FILE__,__LINE__,
"unexpected basis function number",
ErrorHandler::unexpected);
return 0.;
}
}
}
real_t
P2Triangle3DFiniteElement::dxW(const size_t& i, const TinyVector<3>& X) const
{
const real_t& x = X[0];
const real_t& y = X[1];
switch (i) {
// Vertices basis functions
case 0: {
return -2*(1-x-y);
}
case 1: {
return 2*x;
}
case 2: {
return 0;
}
// Edges basis functions
case 3: {
return 4*y;
}
case 4: {
return 4*(1-2*x-y);
}
case 5: {
return -4*y;
}
default: {
throw ErrorHandler(__FILE__,__LINE__,
"unexpected basis function number",
ErrorHandler::unexpected);
return 0.;
}
}
}
real_t
P2Triangle3DFiniteElement::dyW(const size_t& i,
const TinyVector<3>& X) const
{
const real_t& x = X[0];
const real_t& y = X[1];
switch (i) {
// Vertices basis functions
case 0: {
return -2*(1-x-y);
}
case 1: {
return 0;
}
case 2: {
return 2*y;
}
// Edges basis functions
case 3: {
return 4*x;
}
case 4: {
return -4*x;
}
case 5: {
return 4*(1-x-2*y);
}
default: {
throw ErrorHandler(__FILE__,__LINE__,
"unexpected basis function number",
ErrorHandler::unexpected);
return 0.;
}
}
}
real_t
P2Triangle3DFiniteElement::dzW(const size_t& i,
const TinyVector<3>& X) const
{
switch (i) {
// Vertices basis functions
case 0:
case 1:
case 2:
// Edges basis functions
case 3:
case 4:
case 5: {
return 0;
}
default: {
throw ErrorHandler(__FILE__,__LINE__,
"unexpected basis function number",
ErrorHandler::unexpected);
return 0.;
}
}
}
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