ConformTransformationQ1HexahedronJacobian Class Reference
#include <ConformTransformation.hpp>
Public Member Functions | |
| const TinyMatrix< 3, 3, real_t > & | jacobian () const |
| return the jacobian of the transformation. | |
| const TinyMatrix< 3, 3, real_t > & | invJacobian () const |
| const real_t & | jacobianDet () const |
| returns the jacobian of the transformation | |
| const real_t & | invJacobian (const size_t i, const size_t j) const |
| Returns the value of the invert of the jacobian. | |
| ConformTransformationQ1HexahedronJacobian (const ConformTransformationQ1Hexahedron &T) | |
Private Attributes | |
| const ConformTransformationQ1Hexahedron & | __T |
| TinyMatrix< 3, 3 > | __jacobian |
| TinyMatrix< 3, 3 > | __invJacobian |
| real_t | __det |
Detailed Description
Definition at line 513 of file ConformTransformation.hpp.
Constructor & Destructor Documentation
| ConformTransformationQ1HexahedronJacobian::ConformTransformationQ1HexahedronJacobian | ( | const ConformTransformationQ1Hexahedron & | T | ) | [inline] |
We compute the transposed of the inverse.
Definition at line 551 of file ConformTransformation.hpp.
References __det, __invJacobian, __jacobian, __T, ConformTransformationQ1Hexahedron::dx(), ConformTransformationQ1Hexahedron::dy(), ConformTransformationQ1Hexahedron::dz(), StaticBase< QuadratureFormulaQ1Hexahedron >::instance(), QuadratureFormulaQ1Hexahedron::numberOfQuadraturePoints, and QuadratureFormulaQ1Hexahedron::vertices().
00552 : __T(T) 00553 { 00554 const TinyVector<QuadratureFormulaQ1Hexahedron::numberOfQuadraturePoints, 00555 TinyVector<3, real_t> >& IntegrationVertices 00556 = QuadratureFormulaQ1Hexahedron::instance().vertices(); 00557 00558 __jacobian = 0; 00559 00560 TinyVector<QuadratureFormulaQ1Hexahedron::numberOfQuadraturePoints, TinyVector<3, real_t> > dxPhi; 00561 TinyVector<QuadratureFormulaQ1Hexahedron::numberOfQuadraturePoints, TinyVector<3, real_t> > dyPhi; 00562 TinyVector<QuadratureFormulaQ1Hexahedron::numberOfQuadraturePoints, TinyVector<3, real_t> > dzPhi; 00563 00564 for (size_t i=0; i<QuadratureFormulaQ1Hexahedron::numberOfQuadraturePoints; ++i) { 00565 __T.dx(IntegrationVertices[i][0], 00566 IntegrationVertices[i][1], 00567 IntegrationVertices[i][2],dxPhi[i]); 00568 __T.dy(IntegrationVertices[i][0], 00569 IntegrationVertices[i][1], 00570 IntegrationVertices[i][2],dyPhi[i]); 00571 __T.dz(IntegrationVertices[i][0], 00572 IntegrationVertices[i][1], 00573 IntegrationVertices[i][2],dzPhi[i]); 00574 for (size_t j=0; j<3; ++j) { 00575 __jacobian(0,j) += dxPhi[i][j]; 00576 __jacobian(1,j) += dyPhi[i][j]; 00577 __jacobian(2,j) += dzPhi[i][j]; 00578 } 00579 } 00580 00581 __jacobian *= 1./QuadratureFormulaQ1Hexahedron::numberOfQuadraturePoints; 00582 00583 TinyVector<3, TinyVector<3, real_t> > I; 00584 for (size_t i=0; i<3; ++i) { 00585 for (size_t j=0; j<3; ++j) 00586 I[i][j] = (i==j)?1:0; 00587 } 00588 00589 TinyVector<3, TinyVector<3, real_t> > J; 00590 __det = ::gaussPivot(__jacobian,I,J); 00591 00592 for (size_t i=0; i<3; ++i) { 00593 for (size_t j=0; j<3; ++j) { 00595 __invJacobian(j,i) = J[i][j]; 00596 } 00597 } 00598 }
Member Function Documentation
| const TinyMatrix<3,3,real_t>& ConformTransformationQ1HexahedronJacobian::jacobian | ( | ) | const [inline] |
return the jacobian of the transformation.
Definition at line 526 of file ConformTransformation.hpp.
References __jacobian.
00527 { 00528 return __jacobian; 00529 }
| const TinyMatrix<3,3,real_t>& ConformTransformationQ1HexahedronJacobian::invJacobian | ( | ) | const [inline] |
return the invert of the transposed of the jacobian of the transformation.
Definition at line 534 of file ConformTransformation.hpp.
References __invJacobian.
00535 { 00536 return __invJacobian; 00537 }
| const real_t& ConformTransformationQ1HexahedronJacobian::jacobianDet | ( | ) | const [inline] |
returns the jacobian of the transformation
Definition at line 540 of file ConformTransformation.hpp.
References __det.
Referenced by Hexahedron::Hexahedron().
00541 { 00542 return __det; 00543 }
| const real_t& ConformTransformationQ1HexahedronJacobian::invJacobian | ( | const size_t | i, | |
| const size_t | j | |||
| ) | const [inline] |
Returns the value of the invert of the jacobian.
Definition at line 546 of file ConformTransformation.hpp.
References __invJacobian.
00547 { 00548 return __invJacobian(i,j); 00549 }
Member Data Documentation
Definition at line 516 of file ConformTransformation.hpp.
Referenced by ConformTransformationQ1HexahedronJacobian().
TinyMatrix<3,3> ConformTransformationQ1HexahedronJacobian::__jacobian [private] |
Definition at line 518 of file ConformTransformation.hpp.
Referenced by ConformTransformationQ1HexahedronJacobian(), and jacobian().
Definition at line 519 of file ConformTransformation.hpp.
Referenced by ConformTransformationQ1HexahedronJacobian(), and invJacobian().
real_t ConformTransformationQ1HexahedronJacobian::__det [private] |
Definition at line 521 of file ConformTransformation.hpp.
Referenced by ConformTransformationQ1HexahedronJacobian(), and jacobianDet().
The documentation for this class was generated from the following file:
