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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: Q2Quadrangle3DFiniteElement.cpp,v 1.2 2006/04/08 10:43:20 delpinux Exp $
#include <Q2Quadrangle3DFiniteElement.hpp>
TinyVector<3, real_t> Q2Quadrangle3DFiniteElement::__massCenter(0.5, 0.5, 0.0);
real_t
Q2Quadrangle3DFiniteElement::W(const size_t& i, const TinyVector<3, real_t>& X) const
{
const real_t& x = X[0];
const real_t& y = X[1];
switch (i) {
// Vertices basis functions
case 0: {
return __w1(x)*__w1(y);
}
case 1: {
return __w3(x)*__w1(y);
}
case 2: {
return __w3(x)*__w3(y);
}
case 3: {
return __w1(x)*__w3(y);
}
// Edges basis functions
case 4: {
return __w2(x)*__w1(y);
}
case 5: {
return __w3(x)*__w2(y);
}
case 6: {
return __w2(x)*__w3(y);
}
case 7: {
return __w1(x)*__w2(y);
}
case 8: {
return __w1(x)*__w1(y);
}
// Faces basis functions
case 9: {
return __w2(x)*__w2(y);
}
default: {
throw ErrorHandler(__FILE__,__LINE__,
"unexpected basis function number",
ErrorHandler::unexpected);
return 0.;
}
}
}
real_t
Q2Quadrangle3DFiniteElement::dxW(const size_t& i, const TinyVector<3, real_t>& X) const
{
const real_t& x = X[0];
const real_t& y = X[1];
switch (i) {
// Vertices basis functions
case 0: {
return __dw1(x)*__w1(y);
}
case 1: {
return __dw3(x)*__w1(y);
}
case 2: {
return __dw3(x)*__w3(y);
}
case 3: {
return __dw1(x)*__w3(y);
}
// Edges basis functions
case 4: {
return __dw2(x)*__w1(y);
}
case 5: {
return __dw3(x)*__w2(y);
}
case 6: {
return __dw2(x)*__w3(y);
}
case 7: {
return __dw1(x)*__w2(y);
}
// Faces basis functions
case 8: {
return __dw2(x)*__w2(y);
}
default: {
throw ErrorHandler(__FILE__,__LINE__,
"unexpected basis function number",
ErrorHandler::unexpected);
return 0.;
}
}
}
real_t
Q2Quadrangle3DFiniteElement::dyW(const size_t& i, const TinyVector<3, real_t>& X) const
{
const real_t& x = X[0];
const real_t& y = X[1];
switch (i) {
// Vertices basis functions
case 0: {
return __w1(x)*__dw1(y);
}
case 1: {
return __w3(x)*__dw1(y);
}
case 2: {
return __w3(x)*__dw3(y);
}
case 3: {
return __w1(x)*__dw3(y);
}
// Edges basis functions
case 4: {
return __w2(x)*__dw1(y);
}
case 5: {
return __w3(x)*__dw2(y);
}
case 6: {
return __w2(x)*__dw3(y);
}
case 7: {
return __w1(x)*__dw2(y);
}
// Faces basis functions
case 8: {
return __w2(x)*__dw2(y);
}
default: {
throw ErrorHandler(__FILE__,__LINE__,
"unexpected basis function number",
ErrorHandler::unexpected);
return 0.;
}
}
}
real_t
Q2Quadrangle3DFiniteElement::dzW(const size_t& i, const TinyVector<3, real_t>& X) const
{
const real_t& x = X[0];
const real_t& y = X[1];
switch (i) {
// Vertices basis functions
case 0: {
return __w1(x)*__w1(y);
}
case 1: {
return __w3(x)*__w1(y);
}
case 2: {
return __w3(x)*__w3(y);
}
case 3: {
return __w1(x)*__w3(y);
}
// Edges basis functions
case 4: {
return __w2(x)*__w1(y);
}
case 5: {
return __w3(x)*__w2(y);
}
case 6: {
return __w2(x)*__w3(y);
}
case 7: {
return __w1(x)*__w2(y);
}
// Faces basis functions
case 8: {
return __w2(x)*__w2(y);
}
default: {
throw ErrorHandler(__FILE__,__LINE__,
"unexpected basis function number",
ErrorHandler::unexpected);
return 0.;
}
}
}
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