Abstract class for all equation classes. More...
#include <Equation.h>

Public Member Functions | |
Equation () | |
Equation (Mesh &mesh) | |
Constructor with mesh instance. More... | |
Equation (Mesh &mesh, Vect< real_t > &u) | |
Constructor with mesh instance and solution vector. More... | |
Equation (Mesh &mesh, Vect< real_t > &u, real_t &init_time, real_t &final_time, real_t &time_step) | |
Constructor with mesh instance, matrix and right-hand side. More... | |
~Equation () | |
Destructor. | |
void | updateBC (const Element &el, const Vect< real_t > &bc) |
Update Right-Hand side by taking into account essential boundary conditions. More... | |
void | DiagBC (DOFSupport dof_type=NODE_DOF, int dof=0) |
Update element matrix to impose bc by diagonalization technique. More... | |
void | LocalNodeVector (Vect< real_t > &b) |
Localize Element Vector from a Vect instance. More... | |
void | ElementNodeVector (const Vect< real_t > &b, LocalVect< real_t, NEE_ > &be) |
Localize Element Vector from a Vect instance. More... | |
void | SideNodeVector (const Vect< real_t > &b, LocalVect< real_t, NSE_ > &bs) |
Localize Side Vector from a Vect instance. More... | |
void | SideSideVector (const Vect< real_t > &b, std::valarray< real_t > &bs) |
Localize Side Vector from a Vect instance. More... | |
void | ElementNodeVectorSingleDOF (const Vect< real_t > &b, LocalVect< real_t, NEN_ > &be) |
Localize Element Vector from a Vect instance. More... | |
void | ElementNodeVector (const Vect< real_t > &b, LocalVect< real_t, NEN_ > &be, int dof) |
Localize Element Vector from a Vect instance. More... | |
void | ElementSideVector (const Vect< real_t > &b, LocalVect< real_t, NSE_ > &be) |
Localize Element Vector from a Vect instance. More... | |
void | ElementVector (const Vect< real_t > &b, DOFSupport dof_type=NODE_DOF, int flag=0) |
Localize Element Vector. More... | |
void | SideVector (const Vect< real_t > &b, std::valarray< real_t > &sb) |
Localize Side Vector. More... | |
void | ElementNodeCoordinates () |
Localize coordinates of element nodes. More... | |
void | SideNodeCoordinates () |
Localize coordinates of side nodes. More... | |
void | ElementAssembly (Matrix< real_t > *A) |
Assemble element matrix into global one. More... | |
void | ElementAssembly (BMatrix< real_t > &A) |
Assemble element matrix into global one. More... | |
void | ElementAssembly (SkSMatrix< real_t > &A) |
Assemble element matrix into global one. More... | |
void | ElementAssembly (SkMatrix< real_t > &A) |
Assemble element matrix into global one. More... | |
void | ElementAssembly (SpMatrix< real_t > &A) |
Assemble element matrix into global one. More... | |
void | ElementAssembly (TrMatrix< real_t > &A) |
Assemble element matrix into global one. More... | |
void | DGElementAssembly (Matrix< real_t > *A) |
Assemble element matrix into global one for the Discontinuous Galerkin approximation. More... | |
void | DGElementAssembly (SkSMatrix< real_t > &A) |
Assemble element matrix into global one for the Discontinuous Galerkin approximation. More... | |
void | DGElementAssembly (SkMatrix< real_t > &A) |
Assemble element matrix into global one for the Discontinuous Galerkin approximation. More... | |
void | DGElementAssembly (SpMatrix< real_t > &A) |
Assemble element matrix into global one for the Discontinuous Galerkin approximation. More... | |
void | DGElementAssembly (TrMatrix< real_t > &A) |
Assemble element matrix into global one for the Discontinuous Galerkin approximation. More... | |
void | SideAssembly (Matrix< real_t > *A) |
Assemble side (edge or face) matrix into global one. More... | |
void | SideAssembly (SkSMatrix< real_t > &A) |
Assemble side (edge or face) matrix into global one. More... | |
void | SideAssembly (SkMatrix< real_t > &A) |
Assemble side (edge or face) matrix into global one. More... | |
void | SideAssembly (SpMatrix< real_t > &A) |
Assemble side (edge or face) matrix into global one. More... | |
void | ElementAssembly (Vect< real_t > &v) |
Assemble element vector into global one. More... | |
void | SideAssembly (Vect< real_t > &v) |
Assemble side (edge or face) vector into global one. More... | |
void | AxbAssembly (const Element &el, const Vect< real_t > &x, Vect< real_t > &b) |
Assemble product of element matrix by element vector into global vector. More... | |
void | AxbAssembly (const Side &sd, const Vect< real_t > &x, Vect< real_t > &b) |
Assemble product of side matrix by side vector into global vector. More... | |
size_t | getNbNodes () const |
Return number of element nodes. | |
size_t | getNbEq () const |
Return number of element equations. | |
real_t | setMaterialProperty (const string &exp, const string &prop) |
Define a material property by an algebraic expression. More... | |
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Equa () | |
Default constructor. | |
virtual | ~Equa () |
Destructor. | |
void | setMesh (Mesh &m) |
Define mesh and renumber DOFs after removing imposed ones. | |
Mesh & | getMesh () const |
Return reference to Mesh instance. More... | |
LinearSolver< real_t > & | getLinearSolver () |
Return reference to linear solver instance. | |
Matrix< real_t > * | getMatrix () const |
Return pointer to matrix. | |
void | setSolver (Iteration ls, Preconditioner pc=IDENT_PREC) |
Choose solver for the linear system. More... | |
void | setLinearSolver (Iteration ls, Preconditioner pc=IDENT_PREC) |
Choose solver for the linear system. More... | |
void | setMatrixType (int t) |
Choose type of matrix. More... | |
int | solveLinearSystem (Matrix< real_t > *A, Vect< real_t > &b, Vect< real_t > &x) |
Solve the linear system with given matrix and right-hand side. More... | |
int | solveLinearSystem (Vect< real_t > &b, Vect< real_t > &x) |
Solve the linear system with given right-hand side. More... | |
Detailed Description
class OFELI::Equation< NEN_, NEE_, NSN_, NSE_ >
Abstract class for all equation classes.
Template Arguments:
- NEN_ : Number of element nodes
- NEE_ : Number of element equations
- NSN_ : Number of side nodes
- NSN_ : Number of side equations
- Copyright
- GNU Lesser Public License
Constructor & Destructor Documentation
◆ Equation() [1/4]
Equation | ( | ) |
Default constructor. Constructs an "empty" equation
◆ Equation() [2/4]
◆ Equation() [3/4]
◆ Equation() [4/4]
Member Function Documentation
◆ AxbAssembly() [1/2]
◆ AxbAssembly() [2/2]
◆ DGElementAssembly() [1/5]
◆ DGElementAssembly() [2/5]
Assemble element matrix into global one for the Discontinuous Galerkin approximation.
- Parameters
-
[in] A Global matrix stored as an SkMatrix instance
- Warning
- The element pointer is given by the global variable
theElement
◆ DGElementAssembly() [3/5]
Assemble element matrix into global one for the Discontinuous Galerkin approximation.
- Parameters
-
A Global matrix stored as an SkSMatrix instance
- Warning
- The element pointer is given by the global variable
theElement
◆ DGElementAssembly() [4/5]
Assemble element matrix into global one for the Discontinuous Galerkin approximation.
- Parameters
-
[in] A Global matrix stored as an SpMatrix instance
- Warning
- The element pointer is given by the global variable
theElement
◆ DGElementAssembly() [5/5]
Assemble element matrix into global one for the Discontinuous Galerkin approximation.
- Parameters
-
[in] A Global matrix stored as an TrMatrix instance
- Warning
- The element pointer is given by the global variable
theElement
◆ DiagBC()
void DiagBC | ( | DOFSupport | dof_type = NODE_DOF , |
int | dof = 0 |
||
) |
Update element matrix to impose bc by diagonalization technique.
- Parameters
-
[in] dof_type DOF type option. To choose among the enumerated values: -
NODE_DOF
, DOFs are supported by nodes [Default] -
ELEMENT_DOF
, DOFs are supported by elements -
SIDE_DOF
, DOFs are supported by sides
[in] dof DOF setting: -
= 0
, All DOFs are taken into account [Default] -
!= 0
, Only DOF No.dof
is handled in the system
-
◆ ElementAssembly() [1/7]
Assemble element matrix into global one.
- Parameters
-
A Global matrix stored as a BMatrix instance
- Warning
- The element pointer is given by the global variable
theElement
◆ ElementAssembly() [2/7]
◆ ElementAssembly() [3/7]
Assemble element matrix into global one.
- Parameters
-
[in] A Global matrix stored as an SkMatrix instance
- Warning
- The element pointer is given by the global variable
theElement
◆ ElementAssembly() [4/7]
Assemble element matrix into global one.
- Parameters
-
A Global matrix stored as an SkSMatrix instance
- Warning
- The element pointer is given by the global variable
theElement
◆ ElementAssembly() [5/7]
Assemble element matrix into global one.
- Parameters
-
[in] A Global matrix stored as an SpMatrix instance
- Warning
- The element pointer is given by the global variable
theElement
◆ ElementAssembly() [6/7]
Assemble element matrix into global one.
- Parameters
-
[in] A Global matrix stored as an TrMatrix instance
- Warning
- The element pointer is given by the global variable
theElement
◆ ElementAssembly() [7/7]
Assemble element vector into global one.
- Parameters
-
[in] v Global vector (Vect instance)
- Warning
- The element pointer is given by the global variable
theElement
◆ ElementNodeCoordinates()
void ElementNodeCoordinates | ( | ) |
Localize coordinates of element nodes.
Coordinates are stored in array _x[0], _x[1], ...
which are instances of class Point<real_t>
- Remarks
- This member function uses the Side pointer
_theSide
◆ ElementNodeVector() [1/2]
◆ ElementNodeVector() [2/2]
◆ ElementNodeVectorSingleDOF()
◆ ElementSideVector()
◆ ElementVector()
void ElementVector | ( | const Vect< real_t > & | b, |
DOFSupport | dof_type = NODE_DOF , |
||
int | flag = 0 |
||
) |
Localize Element Vector.
- Parameters
-
[in] b Global vector to be localized [in] dof_type DOF type option. To choose among the enumerated values: -
NODE_DOF
, DOFs are supported by nodes [Default] -
ELEMENT_DOF
, DOFs are supported by elements -
SIDE_DOF
, DOFs are supported by sides
[in] flag Option to set: -
= 0
, All DOFs are taken into account [Default] -
!= 0
, Only DOF numberdof
is handled in the system
ePrev
. -
◆ LocalNodeVector()
◆ setMaterialProperty()
real_t setMaterialProperty | ( | const string & | exp, |
const string & | prop | ||
) |
Define a material property by an algebraic expression.
- Parameters
-
[in] exp Algebraic expression [in] prop Property name
- Returns
- Return value in expression evaluation:
-
=0
, Normal evaluation -
!=0
, An error message is displayed
-
◆ SideAssembly() [1/5]
◆ SideAssembly() [2/5]
Assemble side (edge or face) matrix into global one.
- Parameters
-
[in] A Global matrix stored as an SkMatrix instance
- Warning
- The side pointer is given by the global variable
theSide
◆ SideAssembly() [3/5]
Assemble side (edge or face) matrix into global one.
- Parameters
-
[in] A Global matrix stored as an SkSMatrix instance
- Warning
- The side pointer is given by the global variable
theSide
◆ SideAssembly() [4/5]
Assemble side (edge or face) matrix into global one.
- Parameters
-
[in] A Global matrix stored as an SpMatrix instance
- Warning
- The side pointer is given by the global variable
theSide
◆ SideAssembly() [5/5]
Assemble side (edge or face) vector into global one.
- Parameters
-
[in] v Global vector (Vect instance)
- Warning
- The side pointer is given by the global variable
theSide
◆ SideNodeCoordinates()
void SideNodeCoordinates | ( | ) |
Localize coordinates of side nodes.
Coordinates are stored in array _x[0], _x[1], ...
which are instances of class Point<real_t>
- Remarks
- This member function uses the Element pointer
_theElement
◆ SideNodeVector()
◆ SideSideVector()
◆ SideVector()
Localize Side Vector.
- Parameters
-
[in] b Global vector to be localized -
NODE_DOF
, DOFs are supported by nodes [ default ] -
ELEMENT_DOF
, DOFs are supported by elements -
SIDE_DOF
, DOFs are supported by sides -
BOUNDARY_SIDE_DOF
, DOFs are supported by boundary sides
[out] sb Array in which local vector is stored The resulting local vector can be accessed by attribute ePrev
. -