Abstract class for Solid Mechanics Finite Element classes. More...


Public Member Functions | |
Equa_Solid () | |
Default constructor. More... | |
virtual | ~Equa_Solid () |
Destructor. | |
virtual void | LMassToLHS (real_t coef=1) |
Add lumped mass contribution to left-hand side. More... | |
virtual void | LMassToRHS (real_t coef=1) |
Add lumped mass contribution to right-hand side. More... | |
virtual void | MassToLHS (real_t coef=1) |
Add consistent mass contribution to left-hand side. More... | |
virtual void | MassToRHS (real_t coef=1) |
Add consistent mass contribution to right-hand side. More... | |
void | setLumpedMass () |
Add lumped mass contribution to left and right-hand sides taking into account time integration scheme. | |
void | setMass () |
Add consistent mass contribution to left and right-hand sides taking into account time integration scheme. | |
virtual void | Mass (real_t coef=1) |
Add consistent mass matrix to left-hand side after multiplication by coef [Default: 1 ]. | |
virtual void | LMass (real_t coef=1) |
Add lumped mass matrix to left-hand side after multiplication by coef [Default: 1 ]. | |
virtual void | Deviator (real_t coef=1) |
Add deviator matrix to left-hand side taking into account time integration scheme, after multiplication by coef [Default: 1 ]. | |
virtual void | Dilatation (real_t coef=1) |
Add dilatation matrix to left-hand side taking into account time integration scheme, after multiplication by coef [Default: 1 ]. | |
virtual void | DilatationToRHS (real_t coef=1) |
Add dilatation vector to right-hand side taking into account time integration scheme, after multiplication by coef [Default: 1 ]. | |
virtual void | DeviatorToRHS (real_t coef=1) |
Add deviator vector to right-hand side taking into account time integration scheme, after multiplication by coef [Default: 1 ]. | |
virtual void | Stiffness (real_t coef=1) |
Add stiffness matrix to left-hand side taking into account time integration scheme, after multiplication by coef [Default: 1 ]. | |
virtual void | StiffnessToRHS (real_t coef=1) |
Add stiffness matrix to right-hand side taking into account time integration scheme, after multiplication by coef [Default: 1 ]. | |
void | setDilatation () |
Add dilatation matrix to left and/or right-hand side taking into account time. | |
void | setDeviator () |
Add deviator matrix to left and/or right-hand side taking into account time integration scheme. | |
void | setStiffness () |
Add convection contribution to left and/or right-hand side taking into account time integration scheme. | |
void | updateBC (const Element &el, const Vect< T_ > &bc) |
Update Right-Hand side by taking into account essential boundary conditions. More... | |
void | updateBC (const Vect< T_ > &bc) |
Update Right-Hand side by taking into account essential boundary conditions. More... | |
void | DiagBC (int dof_type=NODE_DOF, int dof=0) |
Update element matrix to impose bc by diagonalization technique. More... | |
void | LocalNodeVector (Vect< T_ > &b) |
Localize Element Vector from a Vect instance. More... | |
void | ElementNodeVector (const Vect< T_ > &b, LocalVect< T_, NEE_ > &be) |
Localize Element Vector from a Vect instance. More... | |
void | ElementNodeVector (const Vect< T_ > &b, LocalVect< T_, NEN_ > &be, int dof) |
Localize Element Vector from a Vect instance. More... | |
void | ElementNodeVectorSingleDOF (const Vect< T_ > &b, LocalVect< T_, NEN_ > &be) |
Localize Element Vector from a Vect instance. More... | |
void | ElementSideVector (const Vect< T_ > &b, LocalVect< T_, NSE_ > &be) |
Localize Element Vector from a Vect instance. More... | |
void | ElementVector (const Vect< T_ > &b, int dof_type=NODE_FIELD, int flag=0) |
Localize Element Vector. More... | |
void | SideVector (const Vect< T_ > &b) |
Localize Side Vector. More... | |
void | ElementNodeCoordinates () |
Localize coordinates of element nodes. More... | |
void | SideNodeCoordinates () |
Localize coordinates of side nodes. More... | |
void | ElementAssembly (Matrix< T_ > *A) |
Assemble element matrix into global one. More... | |
void | ElementAssembly (PETScMatrix< T_ > &A) |
Assemble element matrix into global one. More... | |
void | ElementAssembly (PETScVect< T_ > &b) |
Assemble element right-hand side vector into global one. More... | |
void | ElementAssembly (BMatrix< T_ > &A) |
Assemble element matrix into global one. More... | |
void | ElementAssembly (SkSMatrix< T_ > &A) |
Assemble element matrix into global one. More... | |
void | ElementAssembly (SkMatrix< T_ > &A) |
Assemble element matrix into global one. More... | |
void | ElementAssembly (SpMatrix< T_ > &A) |
Assemble element matrix into global one. More... | |
void | ElementAssembly (TrMatrix< T_ > &A) |
Assemble element matrix into global one. More... | |
void | ElementAssembly (Vect< T_ > &v) |
Assemble element vector into global one. More... | |
void | SideAssembly (PETScMatrix< T_ > &A) |
Assemble side matrix into global one. More... | |
void | SideAssembly (PETScVect< T_ > &b) |
Assemble side right-hand side vector into global one. More... | |
void | SideAssembly (Matrix< T_ > *A) |
Assemble side (edge or face) matrix into global one. More... | |
void | SideAssembly (SkSMatrix< T_ > &A) |
Assemble side (edge or face) matrix into global one. More... | |
void | SideAssembly (SkMatrix< T_ > &A) |
Assemble side (edge or face) matrix into global one. More... | |
void | SideAssembly (SpMatrix< T_ > &A) |
Assemble side (edge or face) matrix into global one. More... | |
void | SideAssembly (Vect< T_ > &v) |
Assemble side (edge or face) vector into global one. More... | |
void | DGElementAssembly (Matrix< T_ > *A) |
Assemble element matrix into global one for the Discontinuous Galerkin approximation. More... | |
void | DGElementAssembly (SkSMatrix< T_ > &A) |
Assemble element matrix into global one for the Discontinuous Galerkin approximation. More... | |
void | DGElementAssembly (SkMatrix< T_ > &A) |
Assemble element matrix into global one for the Discontinuous Galerkin approximation. More... | |
void | DGElementAssembly (SpMatrix< T_ > &A) |
Assemble element matrix into global one for the Discontinuous Galerkin approximation. More... | |
void | DGElementAssembly (TrMatrix< T_ > &A) |
Assemble element matrix into global one for the Discontinuous Galerkin approximation. More... | |
void | AxbAssembly (const Element &el, const Vect< T_ > &x, Vect< T_ > &b) |
Assemble product of element matrix by element vector into global vector. More... | |
void | AxbAssembly (const Side &sd, const Vect< T_ > &x, Vect< 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. | |
void | setInitialSolution (const Vect< T_ > &u) |
Set initial solution (previous time step) | |
real_t | setMaterialProperty (const string &exp, const string &prop) |
Define a material property by an algebraic expression. More... | |
void | setMesh (Mesh &m) |
Define mesh and renumber DOFs after removing imposed ones. | |
Mesh & | getMesh () const |
Return reference to Mesh instance. More... | |
LinearSolver< T_ > & | getLinearSolver () |
Return reference to linear solver instance. | |
void | setSolver (Iteration ls, Preconditioner pc=IDENT_PREC) |
Choose solver for the linear system. More... | |
int | SolveLinearSystem (Matrix< T_ > *A, Vect< T_ > &b, Vect< T_ > &x) |
Solve the linear system. More... | |
Public Attributes | |
LocalMatrix< T_, NEE_, NEE_ > | eMat |
LocalMatrix instance containing local matrix associated to current element. | |
LocalMatrix< T_, NSE_, NSE_ > | sMat |
LocalMatrix instance containing local matrix associated to current side. | |
LocalVect< T_, NEE_ > | ePrev |
LocalVect instance containing local vector associated to current element. More... | |
LocalVect< T_, NEE_ > | eRHS |
LocalVect instance containing local right-hand side vector associated to current element. | |
LocalVect< T_, NEE_ > | eRes |
LocalVect instance containing local residual vector associated to current element. | |
LocalVect< T_, NSE_ > | sRHS |
LocalVect instance containing local right-hand side vector associated to current side. | |
Protected Member Functions | |
void | Young (const real_t &E) |
Set (constant) Young modulus. | |
void | Poisson (const real_t &nu) |
Set (constant) Poisson ratio. | |
void | Density (const real_t &rho) |
Set (constant) density. | |
void | Young (const string &exp) |
Set Young modulus given by an algebraic expression. | |
void | Poisson (const string &exp) |
Set Poisson ratio given by an algebraic expression. | |
void | Density (const string &exp) |
Set density given by an algebraic expression. | |
void | setMaterial () |
Set material properties. | |
void | Init (const Element *el) |
Set element arrays to zero. | |
void | Init (const Side *sd) |
Set side arrays to zero. | |
Detailed Description
template<class T_, size_t NEN_, size_t NEE_, size_t NSN_, size_t NSE_>
class OFELI::Equa_Solid< T_, NEN_, NEE_, NSN_, NSE_ >
Abstract class for Solid Mechanics Finite Element classes.
- Template Parameters
-
<T_> data type (double, float, ...) <NEN> Number of element nodes <NEE_> Number of element equations <NSN_> Number of side nodes <NSE_> Number of side equations
Constructor & Destructor Documentation
Equa_Solid | ( | ) |
Default constructor.
Constructs an empty equation.
Member Function Documentation
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Update Right-Hand side by taking into account essential boundary conditions.
- Parameters
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[in] el Reference to current element instance [in] bc Vector that contains imposed values at all DOFs
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inherited |
Update Right-Hand side by taking into account essential boundary conditions.
- Parameters
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[in] bc Vector that contains imposed values at all DOFs
- Remarks
- The current element is pointed by
_theElement
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inherited |
Update element matrix to impose bc by diagonalization technique.
- Parameters
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[in] dof_type DOF type option. To choose among the enumerated values: -
NODE_FIELD
, DOFs are supported by nodes [Default] -
ELEMENT_FIELD
, DOFs are supported by elements -
SIDE_FIELD
, 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
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inherited |
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inherited |
Localize Element Vector.
- Parameters
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[in] b Global vector to be localized [in] dof_type DOF type option. To choose among the enumerated values: -
NODE_FIELD
, DOFs are supported by nodes [Default] -
ELEMENT_FIELD
, DOFs are supported by elements -
SIDE_FIELD
, 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
. -
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inherited |
Localize Side Vector.
- Parameters
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[in] b Global vector to be localized -
NODE_FIELD
, DOFs are supported by nodes [ default ] -
ELEMENT_FIELD
, DOFs are supported by elements -
SIDE_FIELD
, DOFs are supported by sides
ePrev
. -
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inherited |
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
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inherited |
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
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inherited |
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inherited |
Assemble element matrix into global one.
- Parameters
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A Reference to global matrix
- Warning
- The element pointer is given by the global variable
theElement
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inherited |
Assemble element right-hand side vector into global one.
- Parameters
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b Reference to global right-hand side vector
- Warning
- The element pointer is given by the global variable
theElement
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inherited |
Assemble element matrix into global one.
- Parameters
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A Global matrix stored as a BMatrix instance
- Warning
- The element pointer is given by the global variable
theElement
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inherited |
Assemble element matrix into global one.
- Parameters
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A Global matrix stored as an SkSMatrix instance
- Warning
- The element pointer is given by the global variable
theElement
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inherited |
Assemble element matrix into global one.
- Parameters
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[in] A Global matrix stored as an SkMatrix instance
- Warning
- The element pointer is given by the global variable
theElement
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inherited |
Assemble element matrix into global one.
- Parameters
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[in] A Global matrix stored as an SpMatrix instance
- Warning
- The element pointer is given by the global variable
theElement
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inherited |
Assemble element matrix into global one.
- Parameters
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[in] A Global matrix stored as an TrMatrix instance
- Warning
- The element pointer is given by the global variable
theElement
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inherited |
Assemble element vector into global one.
- Parameters
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[in] v Global vector (Vect instance)
- Warning
- The element pointer is given by the global variable
theElement
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inherited |
Assemble side matrix into global one.
- Parameters
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A Reference to global matrix
- Warning
- The side pointer is given by the global variable
theSide
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inherited |
Assemble side right-hand side vector into global one.
- Parameters
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b Reference to global right-hand side vector
- Warning
- The side pointer is given by the global variable
theSide
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inherited |
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inherited |
Assemble side (edge or face) matrix into global one.
- Parameters
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[in] A Global matrix stored as an SkSMatrix instance
- Warning
- The side pointer is given by the global variable
theSide
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inherited |
Assemble side (edge or face) matrix into global one.
- Parameters
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[in] A Global matrix stored as an SkMatrix instance
- Warning
- The side pointer is given by the global variable
theSide
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inherited |
Assemble side (edge or face) matrix into global one.
- Parameters
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[in] A Global matrix stored as an SpMatrix instance
- Warning
- The side pointer is given by the global variable
theSide
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inherited |
Assemble side (edge or face) vector into global one.
- Parameters
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[in] v Global vector (Vect instance)
- Warning
- The side pointer is given by the global variable
theSide
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inherited |
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inherited |
Assemble element matrix into global one for the Discontinuous Galerkin approximation.
- Parameters
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A Global matrix stored as an SkSMatrix instance
- Warning
- The element pointer is given by the global variable
theElement
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inherited |
Assemble element matrix into global one for the Discontinuous Galerkin approximation.
- Parameters
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[in] A Global matrix stored as an SkMatrix instance
- Warning
- The element pointer is given by the global variable
theElement
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inherited |
Assemble element matrix into global one for the Discontinuous Galerkin approximation.
- Parameters
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[in] A Global matrix stored as an SpMatrix instance
- Warning
- The element pointer is given by the global variable
theElement
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inherited |
Assemble element matrix into global one for the Discontinuous Galerkin approximation.
- Parameters
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[in] A Global matrix stored as an TrMatrix instance
- Warning
- The element pointer is given by the global variable
theElement
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inherited |
Define a material property by an algebraic expression.
- Parameters
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[in] exp Algebraic expression [in] prop Property name
- Returns
- Return value in expression evaluation:
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=0
, Normal evaluation -
!=0
, An error message is displayed
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inherited |
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inherited |
Choose solver for the linear system.
- Parameters
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[in] ls Solver of the linear system. To choose among the enumerated values: DIRECT_SOLVER
,CG_SOLVER
,GMRES_SOLVER
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DIRECT_SOLVER
, Use a facorization solver [default] -
CG_SOLVER
, Conjugate Gradient iterative solver -
CGS_SOLVER
, Squared Conjugate Gradient iterative solver -
BICG_SOLVER
, BiConjugate Gradient iterative solver -
BICG_STAB_SOLVER
, BiConjugate Gradient Stabilized iterative solver -
GMRES_SOLVER
, GMRES iterative solver -
QMR_SOLVER
, QMR iterative solver
[in] pc Preconditioner to associate to the iterative solver. If the direct solver was chosen for the first argument this argument is not used. Otherwise choose among the enumerated values: -
IDENT_PREC
, Identity preconditioner (no preconditioning [default]) -
DIAG_PREC
, Diagonal preconditioner -
ILU_PREC
, Incomplete LU factorization preconditioner
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Solve the linear system.
- Parameters
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[in] A Pointer to matrix of the system (Instance of class SpMatrix) [in] b Vector containing right-hand side [in,out] x Vector containing initial guess of solution on input, actual solution on output