Namespaces
	IsotropicElementProperty3D

	IsotropicMaterialProperty

	Multilayer1DSectionProperty

	Multilayer2DSectionProperty

	OrthotropicMaterialProperty

	OrthotropicProperty3D

	Solid1DSectionProperty

	Solid2DSectionProperty

Classes
class	ArclengthContinuationSolver
	constraint equation is defined along the path as $g(X, p, ds) = (x-x0) dx/ds + (p-p0) dp/ds - ds = 0,$ where, is the solution, is the load parameter, and is the chord length. More...

class	AssemblyBase

class	AssemblyElemOperations

class	BasisMatrix

class	BasisMatrixCoordinate
	Provides the transformation matrix T to transform vector from the orientation provided in this matrix, to one in the global basis. More...

class	BendingOperator

class	BendingOperator1D
	Bending strain operator for 1D element. More...

class	BendingOperator2D
	Bending strain operator for 1D element. More...

class	BendingStructuralElem

class	BernoulliBendingOperator

class	BoundaryConditionBase

class	ComplexAssemblyBase

class	ComplexAssemblyElemOperations

class	ComplexMeshFieldFunction
	This provides a wrapper FieldFunction compatible class that interpolates the solution using libMesh's MeshFunction class. More...

class	ComplexNormalRotationMeshFunction

class	ComplexSolverBase
	uses a Gauss-Siedel method to solve the complex system of equations for a system. More...

class	ComplianceOutput
	Computes the compliance as $\frac{1}{2} U^T K U$ . More...

class	ConservativeFluidDiscipline

class	ConservativeFluidElementBase
	This class provides the necessary functionality for spatial discretization of the conservative fluid equations. More...

class	ConservativeFluidSystemInitialization

class	ConservativeFluidTransientAssemblyElemOperations

class	ConstantFieldFunction

class	ContinuationSolverBase
	the equation set is: $\left\{ \begin{array}{c} f(x, p) \\ g(x, p) \end{array} \right\} = \left\{ \begin{array}{c} 0 \\ 0 \end{array} \right\}$ the N-R updates are calculated such that $\left[ \begin{array}{cc} df/dx & df/dp \\ dg/dx & dg/dp \end{array}\right] \left\{ \begin{array}{c} dx \\ dp \end{array} \right\} = - \left\{ \begin{array}{c} f(x0, p0) \\ g(x0, p0) \end{array} \right\}$ This equation is solved using Schur-factorization so that the disciplinary linear solver can be used. More...

class	CoordinateBase
	Provides the transformation matrix T to transform vector from the orientation provided in this matrix, to one in the global basis. More...

class	DirichletBoundaryCondition

class	DKTBendingOperator

class	DoFCouplingBase
	This provides a base class to couple degrees-of-freedom within a single system. More...

class	DOTOptimizationInterface

class	EigenproblemAssembly
	Assembles the system of equations for an eigenproblem of type ${\bf A} {\bf x} = \lambda {\bf B} {\bf x}$ . More...

class	EigenproblemAssemblyElemOperations

class	ElementBase
	This is the base class for elements that implement calculation of finite element quantities over the domain and sides of a geometric element. More...

class	ElementPropertyCard1D

class	ElementPropertyCard2D

class	ElementPropertyCardBase

class	FEBase

class	FEMOperatorMatrix

class	FieldFunction
	This creates the base class for functions that have a saptial and temporal dependence, and provide sensitivity operations with respect to the functions and parameters. More...

class	FilterBase
	Creates a geometric filter for the level-set design variables. More...

class	FlightCondition

class	FluidElemBase
	This class provides the necessary functions to evaluate the flux vectors and their Jacobians for both inviscid and viscous flows. More...

class	FluidStructureAssemblyElemOperations

class	FlutterRootBase

class	FlutterRootCrossoverBase

class	FlutterSolutionBase

class	FlutterSolverBase

class	FrequencyDomainLinearizedComplexAssemblyElemOperations

class	FrequencyDomainLinearizedConservativeFluidElem

class	FrequencyDomainPressureFunction

class	FrequencyFunction

class	FSIGeneralizedAeroForceAssembly

class	FunctionBase

class	FunctionEvaluation

class	FunctionSetBase
	provides a methods to store property values More...

class	GasProperty

class	GCMMAOptimizationInterface

class	GeneralizedAlphaTransientSolver
	This class implements the generalized alpha method for solution of a second-order ODE. More...

class	GeomElem
	This class acts as a wrapper around libMesh::Elem for the purpose of providing a uniform interface for cases where: More...

class	HeatConductionElementBase
	This element implements the Galerkin discretization of the heat conduction problem $\rho c_p \frac{\partial T}{\partial t} - \frac{\partial }{\partial x_i}\left( -k_{ij} \frac{\partial T}{\partial x_j} \right) = q_v \mbox{ in } \Omega$ with the flux provided on the boundary with Neumann boundary conditions. More...

class	HeatConductionNonlinearAssemblyElemOperations

class	HeatConductionSystemInitialization

class	HeatConductionTransientAssemblyElemOperations

class	IndicatorFunctionConstrainDofs
	Constrains the dofs based on level set function and indicator function. More...

class	IntegratedForceOutput

class	IsotropicElementPropertyCard3D

class	IsotropicMaterialPropertyCard

class	KinematicCoupling
	This constrains the slave nodes to be kinematically constrained to the master node. More...

class	KinematicCouplingConstraint
	This object stores the information about the coupling of nodes. More...

class	KSStressStrainOutput
	This implements the computation of KS-constraint aggregation functional for the stress constraint. More...

class	LAPACK_DGEEV

class	LAPACK_DGGEV

class	LAPACK_ZGGEV

class	LAPACK_ZGGEV_Base

class	LAPACK_ZGGEVX

class	LevelSetBoundaryVelocity

class	LevelSetConstrainDofs
	constrains the dofs based on level set function. More...

class	LevelSetDiscipline

class	LevelSetEigenproblemAssembly

class	LevelSetElementBase

class	LevelSetInterfaceDofHandler

class	LevelSetIntersectedElem
	This class inherits from MAST::GeomElem and provides an interface to initialize FE objects on sub-elements obtained from intersection of level-set function with a reference element. More...

class	LevelSetIntersection

class	LevelSetNonlinearImplicitAssembly

class	LevelSetParameter
	This defines a parameter that is a level set function and stores a pointer to the node in the level-set mesh whose value is defiend by this parameter. More...

class	LevelSetPerimeter
	Computes the perimeter of a level set boundary as a volume integral $P(\phi) \approx \int_\Omega \delta_d(phi) ~d\Omega$ , where $\phi$ is the level set function, $\delta_d(\phi)$ is the approximation to the Dirac delta function implemented in `LevelSetElementBase`. More...

class	LevelSetReinitializationTransientAssembly

class	LevelSetStressAssembly

class	LevelSetSystemInitialization

class	LevelSetTransientAssemblyElemOperations

class	LevelSetVoidSolution
	This will compute the solution at the interface under the assumption of zero surface normal flux. More...

class	LevelSetVolume

class	MaterialPatch
	A patch is defines as the set of elements sharing a node. More...

class	MaterialPropertyCardBase

class	MeshCouplingBase

class	MeshFieldFunction
	This provides a wrapper FieldFunction compatible class that interpolates the solution using libMesh's MeshFunction class. More...

class	MindlinBendingOperator

class	Multilayer1DSectionElementPropertyCard

class	Multilayer2DSectionElementPropertyCard

class	MultiphysicsNonlinearSolverBase

class	NLOptOptimizationInterface

class	NonlinearImplicitAssembly

class	NonlinearImplicitAssemblyElemOperations

class	NonlinearSystem
	This class implements a system for solution of nonlinear systems. More...

class	NormalRotationFunctionBase
	This uses the displacement gradient to calculate the rotation in a given surface normal. More...

class	NormalRotationMeshFunction

class	NPSOLOptimizationInterface

class	OptimizationInterface
	Provides the basic interface API for classes the provide implement optimization problems. More...

class	OrthotropicElementPropertyCard3D

class	OrthotropicMaterialPropertyCard

class	OutputAssemblyElemOperations
	This provides the base class for definitin of element level contribution of output quantity in an analysis. More...

class	Parameter
	This is a scalar function whose value can be changed and one that can be used as a design variable in sensitivity analysis and optimization across the code. More...

class	PhysicsDisciplineBase

class	PistonTheoryBoundaryCondition

class	PistonTheoryPressure

class	PistonTheoryPressureXDerivative

class	PistonTheoryPressureXdotDerivative

class	PKFlutterRoot

class	PKFlutterRootCrossover

class	PKFlutterSolution

class	PKFlutterSolver

class	PointLoadCondition
	This class allows for the specification of load associated with specified nodes in a user-provided set. More...

class	PolarCoordinate
	Defines a polar coordinate system with the radius and obtained from the two parameters provided in the constructor. More...

class	PressureFunction

class	PrimitiveSolution
	Class defines the conversion and some basic operations on primitive fluid variables used in calculation of flux, Jacobians, etc. More...

class	PseudoArclengthContinuationSolver
	The constraint equation is defined along the path as $g(X, p, ds) = (Y - \tilde{Y} )^T t_1 = 0 ,$ where, $Y = \{ X^T p \}^T$ , is the solution, is the load parameter, $\tilde{Y}$ is the predictor based on the search direction . More...

class	SecondOrderNewmarkTransientSolver
	This class implements the Newmark solver for solution of a second-order ODE. More...

class	SlepcEigenSolver
	This class inherits from libMesh::SlepcEigenSolver<Real> and implements a method for retriving the real and imaginary components of the eigenvector, which the libMesh interface does not provide. More...

class	SmallPerturbationPrimitiveSolution
	Class defines basic operations and calculation of the small disturbance primitive variables. More...

class	SmoothRampStressStrainOutput
	This implements the computation of smooth ramp constraint aggregation functional for the stress constraint. More...

class	Solid1DSectionElementPropertyCard

class	Solid2DSectionElementPropertyCard

class	StabilizedFirstOrderNewmarkTransientSensitivitySolver
	This solver implements the stabilized sensitivity analysis solver for chaotic systems where the linearized system can be unstable. More...

class	StressAssembly

class	StressStrainOutputBase
	Data structure provides the mechanism to store stress and strain output from a structural analysis. More...

class	StressTemperatureAdjoint
	The stress and thermoelastic analysis are dependent on temperature. More...

class	StructuralAssembly
	This class provides some routines that are common to structural assembly routines. More...

class	StructuralBucklingEigenproblemAssembly

class	StructuralBucklingEigenproblemElemOperations

class	StructuralElement1D

class	StructuralElement2D

class	StructuralElement3D

class	StructuralElementBase

class	StructuralFluidInteractionAssembly

class	StructuralModalEigenproblemAssemblyElemOperations

class	StructuralModes

class	StructuralNearNullVectorSpace
	this defines the near-null space of a structural finite element model, which is composed of the six rigid-body nodes. More...

class	StructuralNonlinearAssemblyElemOperations

class	StructuralSystem
	This class implements a system for quasi-static analysis of nonlinear structures. More...

class	StructuralSystemInitialization

class	StructuralTransientAssemblyElemOperations

class	SubCellFE
	This class specializes the MAST::FEBase class for level-set applications where integration is to be performed on a sub-cell inside an element. More...

class	SurfaceIntegratedPressureOutput
	The surface integrated pressure calculation in the fluid element will provide a force vector for the integrated load. More...

class	SystemInitialization

class	TimeDomainFlutterRoot

class	TimeDomainFlutterRootCrossover

class	TimeDomainFlutterSolution

class	TimeDomainFlutterSolver
	This implements a solver for a single parameter instability problem, for example a flutter solver where flight speed is the primary parameter. More...

class	TimoshenkoBendingOperator

class	TransientAssembly

class	TransientAssemblyElemOperations

class	TransientSolverBase

class	UGFlutterRoot

class	UGFlutterRootCrossover

class	UGFlutterSolution

class	UGFlutterSolver
	This implements a solver for a single parameter instability problem, for example a flutter solver where reduced frequency is the primary parameter. More...

Typedefs
typedef std::multimap< libMesh::boundary_id_type, MAST::BoundaryConditionBase * >	SideBCMapType

typedef std::multimap< libMesh::subdomain_id_type, MAST::BoundaryConditionBase * >	VolumeBCMapType

typedef std::map< libMesh::subdomain_id_type, const MAST::ElementPropertyCardBase * >	PropertyCardMapType

typedef std::map< libMesh::boundary_id_type, MAST::DirichletBoundaryCondition * >	DirichletBCMapType

typedef std::set< MAST::PointLoadCondition * >	PointLoadSetType

Enumerations
enum	BoundaryConditionType { SURFACE_PRESSURE, POINT_LOAD, POINT_MOMENT, PISTON_THEORY, DIRICHLET, TEMPERATURE, HEAT_FLUX, CONVECTION_HEAT_FLUX, SURFACE_RADIATION_HEAT_FLUX, HEAT_SOURCE, NO_SLIP_WALL, SYMMETRY_WALL, SLIP_WALL, FAR_FIELD, EXHAUST, ISOTHERMAL, ADIABATIC }

enum	BendingOperatorType { BERNOULLI, TIMOSHENKO, DKT, MINDLIN, DEFAULT_BENDING, NO_BENDING }

enum	StructuralQuantityType { MASS, DAMPING, STIFFNESS, FORCE, INVALID_QTY }

enum	FluidPrimitiveVars { RHO_PRIM, VEL1, VEL2, VEL3, TEMP }
	enumeration of the primitive fluid variables More...

enum	FluidConservativeVars { RHO_CONS, RHOVEL1, RHOVEL2, RHOVEL3, ETOT }
	enumeration of the conservative fluid variables More...

enum	LevelSet2DIntersectionMode { THROUGH_NODE, COLINEAR_EDGE, ADJACENT_EDGES, OPPOSITE_EDGES, OPPOSITE_NODES, NODE_AND_EDGE, TWO_ADJACENT_EDGES, NODE_AND_TWO_EDGES, NO_INTERSECTION }

enum	StrainType { LINEAR_STRAIN, NONLINEAR_STRAIN }

Functions
bool	is_numerical_zero (const Real v, const Real eps)

bool	compare (const Real v1, const Real v2, const Real tol)

bool	compare_matrix (const RealMatrixX &m0, const RealMatrixX &m, const Real tol)

std::unique_ptr< MAST::BendingOperator1D >	build_bending_operator_1D (MAST::BendingOperatorType type, MAST::StructuralElementBase &elem, const std::vector< libMesh::Point > &pts)
	builds a bending operator and returns it in a smart-pointer More...

std::unique_ptr< MAST::BendingOperator2D >	build_bending_operator_2D (MAST::BendingOperatorType type, MAST::StructuralElementBase &elem, const std::vector< libMesh::Point > &pts)

std::unique_ptr< MAST::StructuralElementBase >	build_structural_element (MAST::SystemInitialization &sys, MAST::AssemblyBase &assembly, const MAST::GeomElem &elem, const MAST::ElementPropertyCardBase &p)
	builds the structural element for the specified element type More...

template<typename ValType >
void	transform_to_elem_vector (libMesh::DenseVector< ValType > &v, const DenseRealVector &v_real)

template<>
void	transform_to_elem_vector (DenseRealVector &v, const DenseRealVector &v_real)

template<>
void	transform_to_elem_vector (DenseComplexVector &v, const DenseRealVector &v_real)

template<typename ValType >
void	transform_to_elem_matrix (libMesh::DenseMatrix< ValType > &m, const DenseRealMatrix &m_real)

template<>
void	transform_to_elem_matrix (DenseRealMatrix &m, const DenseRealMatrix &m_real)

template<>
void	transform_to_elem_matrix (DenseComplexMatrix &m, const DenseRealMatrix &m_real)

template<typename ValType >
void	add_to_assembled_vector (RealVectorX &assembled_vec, const ValType &elem_vec)
	All calculations in MAST are done using Real numbers. More...

template<typename ValType >
void	add_to_assembled_matrix (RealMatrixX &assembled_mat, const ValType &elem_mat)
	All calculations in MAST are done using Real numbers. More...

template<>
void	add_to_assembled_matrix (RealMatrixX &assembled_mat, const RealMatrixX &elem_mat)

template<>
void	add_to_assembled_vector (RealVectorX &assembled_vec, const RealVectorX &elem_vec)

template<>
void	add_to_assembled_matrix (RealMatrixX &assembled_mat, const ComplexMatrixX &elem_mat)

template<>
void	add_to_assembled_vector (RealVectorX &assembled_vec, const ComplexVectorX &elem_vec)

void	copy (DenseRealMatrix &m1, const RealMatrixX &m2)

void	copy (RealMatrixX &m2, const DenseRealMatrix &m1)

void	copy (DenseRealVector &v1, const RealVectorX &v2)

void	copy (RealVectorX &v1, const DenseRealVector &v2)

void	parallel_sum (const libMesh::Parallel::Communicator &c, RealMatrixX &mat)

void	parallel_sum (const libMesh::Parallel::Communicator &c, ComplexMatrixX &mat)

virtual void	elem_linearized_jacobian_solution_product (RealVectorX &vec)
	This class implements the Newmark solver for solution of a first-order ODE. More...

virtual void	elem_sensitivity_calculations (const MAST::FunctionBase &f, RealVectorX &vec)
	performs the element sensitivity calculations over `elem`, and returns the element residual sensitivity in `vec` . More...

virtual void	elem_sensitivity_contribution_previous_timestep (const std::vector< RealVectorX > &prev_sols, RealVectorX &vec)
	computes the contribution for this element from previous time step More...

virtual void	elem_shape_sensitivity_calculations (const MAST::FunctionBase &f, RealVectorX &vec)
	performs the element shape sensitivity calculations over `elem`, and returns the element residual sensitivity in `vec` . More...

virtual void	elem_topology_sensitivity_calculations (const MAST::FunctionBase &f, const MAST::FieldFunction< RealVectorX > &vel, RealVectorX &vec)
	performs the element topology sensitivity calculations over `elem`, and returns the element residual sensitivity in `vec` . More...

virtual void	elem_second_derivative_dot_solution_assembly (RealMatrixX &mat)
	calculates $d ([J] \{\Delta X\})/ dX$ over `elem`, and returns the matrix in `vec` . More...

Typedef Documentation

typedef std::map<libMesh::boundary_id_type, MAST::DirichletBoundaryCondition*> MAST::DirichletBCMapType

Definition at line 53 of file physics_discipline_base.h.

typedef std::set<MAST::PointLoadCondition*> MAST::PointLoadSetType

Definition at line 54 of file physics_discipline_base.h.

typedef std::map<libMesh::subdomain_id_type, const MAST::ElementPropertyCardBase*> MAST::PropertyCardMapType

Definition at line 52 of file physics_discipline_base.h.

typedef std::multimap<libMesh::boundary_id_type, MAST::BoundaryConditionBase*> MAST::SideBCMapType

Definition at line 46 of file physics_discipline_base.h.

typedef std::multimap<libMesh::subdomain_id_type, MAST::BoundaryConditionBase*> MAST::VolumeBCMapType

Definition at line 51 of file physics_discipline_base.h.

Enumeration Type Documentation

enum MAST::BendingOperatorType

Enumerator
BERNOULLI
TIMOSHENKO
DKT
MINDLIN
DEFAULT_BENDING
NO_BENDING

Definition at line 48 of file bending_operator.h.

enum MAST::BoundaryConditionType

Enumerator
SURFACE_PRESSURE
POINT_LOAD
POINT_MOMENT
PISTON_THEORY
DIRICHLET
TEMPERATURE
HEAT_FLUX
CONVECTION_HEAT_FLUX
SURFACE_RADIATION_HEAT_FLUX
HEAT_SOURCE
NO_SLIP_WALL
SYMMETRY_WALL
SLIP_WALL
FAR_FIELD
EXHAUST
ISOTHERMAL
ADIABATIC

Definition at line 29 of file boundary_condition_base.h.

enum MAST::FluidConservativeVars

enumeration of the conservative fluid variables

Enumerator
RHO_CONS
RHOVEL1
RHOVEL2
RHOVEL3
ETOT

Definition at line 60 of file fluid_elem_base.h.

enum MAST::FluidPrimitiveVars

enumeration of the primitive fluid variables

Enumerator
RHO_PRIM
VEL1
VEL2
VEL3
TEMP

Definition at line 48 of file fluid_elem_base.h.

enum MAST::LevelSet2DIntersectionMode

Enumerator
THROUGH_NODE
COLINEAR_EDGE
ADJACENT_EDGES
OPPOSITE_EDGES
OPPOSITE_NODES
NODE_AND_EDGE
TWO_ADJACENT_EDGES
NODE_AND_TWO_EDGES
NO_INTERSECTION

Definition at line 35 of file level_set_intersection.h.

enum MAST::StrainType

Enumerator
LINEAR_STRAIN
NONLINEAR_STRAIN

Definition at line 38 of file element_property_card_base.h.

enum MAST::StructuralQuantityType

Enumerator
MASS
DAMPING
STIFFNESS
FORCE
INVALID_QTY

Definition at line 33 of file structural_fluid_interaction_assembly.h.

Function Documentation

template<typename ValType >

void MAST::add_to_assembled_matrix	(	RealMatrixX &	assembled_mat,
		const ValType &	elem_mat
	)

inline

All calculations in MAST are done using Real numbers.

The complex variables are divided into two unknowns, one each for the real and imaginary variables. This provides a template method to add a real or complex matrix to the assembled matrix.

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template<>

void MAST::add_to_assembled_matrix	(	RealMatrixX &	assembled_mat,
		const RealMatrixX &	elem_mat
	)

inline

Definition at line 115 of file utility.h.

template<>

void MAST::add_to_assembled_matrix	(	RealMatrixX &	assembled_mat,
		const ComplexMatrixX &	elem_mat
	)

inline

Definition at line 131 of file utility.h.

template<typename ValType >

void MAST::add_to_assembled_vector	(	RealVectorX &	assembled_vec,
		const ValType &	elem_vec
	)

All calculations in MAST are done using Real numbers.

The complex variables are divided into two unknowns, one each for the real and imaginary variables. This provides a template method to add a real or complex vector to the assembled vector.

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template<>

void MAST::add_to_assembled_vector	(	RealVectorX &	assembled_vec,
		const RealVectorX &	elem_vec
	)

inline

Definition at line 123 of file utility.h.

template<>

void MAST::add_to_assembled_vector	(	RealVectorX &	assembled_vec,
		const ComplexVectorX &	elem_vec
	)

inline

Definition at line 152 of file utility.h.

std::unique_ptr< MAST::BendingOperator1D > MAST::build_bending_operator_1D	(	MAST::BendingOperatorType	type,
		MAST::StructuralElementBase &	elem,
		const std::vector< libMesh::Point > &	pts
	)

builds a bending operator and returns it in a smart-pointer

Definition at line 46 of file bending_operator.cpp.

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std::unique_ptr< MAST::BendingOperator2D > MAST::build_bending_operator_2D	(	MAST::BendingOperatorType	type,
		MAST::StructuralElementBase &	elem,
		const std::vector< libMesh::Point > &	pts
	)

Definition at line 75 of file bending_operator.cpp.

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std::unique_ptr< MAST::StructuralElementBase > MAST::build_structural_element	(	MAST::SystemInitialization &	sys,
		MAST::AssemblyBase &	assembly,
		const MAST::GeomElem &	elem,
		const MAST::ElementPropertyCardBase &	p
	)

builds the structural element for the specified element type

Definition at line 1644 of file structural_element_base.cpp.

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bool MAST::compare	(	const Real	v1,
		const Real	v2,
		const Real	tol
	)

Definition at line 49 of file nonlinear_implicit_assembly_elem_operations.cpp.

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bool MAST::compare_matrix	(	const RealMatrixX &	m0,
		const RealMatrixX &	m,
		const Real	tol
	)

Definition at line 72 of file nonlinear_implicit_assembly_elem_operations.cpp.

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void MAST::copy	(	DenseRealMatrix &	m1,
		const RealMatrixX &	m2
	)

inline

Definition at line 167 of file utility.h.

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void MAST::copy	(	RealMatrixX &	m2,
		const DenseRealMatrix &	m1
	)

inline

Definition at line 179 of file utility.h.

void MAST::copy	(	DenseRealVector &	v1,
		const RealVectorX &	v2
	)

inline

Definition at line 191 of file utility.h.

void MAST::copy	(	RealVectorX &	v1,
		const DenseRealVector &	v2
	)

inline

Definition at line 201 of file utility.h.

virtual void MAST::elem_linearized_jacobian_solution_product ( RealVectorX & vec )

virtual

This class implements the Newmark solver for solution of a first-order ODE.

The residual here is modeled as

$r = beta*dt(f_m + f_x )= 0$

where, (for example)

$\begin{eqnarray*} f_m & = & int_Omega phi u_dot \mbox{ [typical mass vector in conduction, for example]}\\ f_x & = & int_Omega phi_i u_i - int_Gamma phi q_n \mbox{ [typical conductance and heat flux combination, for example]} \end{eqnarray*}$

 This method assumes

virtual void MAST::elem_second_derivative_dot_solution_assembly ( RealMatrixX & mat )

virtual

calculates $d ([J] \{\Delta X\})/ dX$ over elem, and returns the matrix in vec .

Definition at line 209 of file first_order_newmark_transient_solver.h.

virtual void MAST::elem_sensitivity_calculations	(	const MAST::FunctionBase &	f,
		RealVectorX &	vec
	)

virtual

performs the element sensitivity calculations over elem, and returns the element residual sensitivity in vec .

virtual void MAST::elem_sensitivity_contribution_previous_timestep	(	const std::vector< RealVectorX > &	prev_sols,
		RealVectorX &	vec
	)

virtual

computes the contribution for this element from previous time step

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virtual void MAST::elem_shape_sensitivity_calculations	(	const MAST::FunctionBase &	f,
		RealVectorX &	vec
	)

virtual

performs the element shape sensitivity calculations over elem, and returns the element residual sensitivity in vec .

virtual void MAST::elem_topology_sensitivity_calculations	(	const MAST::FunctionBase &	f,
		const MAST::FieldFunction< RealVectorX > &	vel,
		RealVectorX &	vec
	)

virtual

performs the element topology sensitivity calculations over elem, and returns the element residual sensitivity in vec .

bool MAST::is_numerical_zero	(	const Real	v,
		const Real	eps
	)

Definition at line 42 of file nonlinear_implicit_assembly_elem_operations.cpp.

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void MAST::parallel_sum	(	const libMesh::Parallel::Communicator &	c,
		RealMatrixX &	mat
	)

inline

Definition at line 214 of file utility.h.

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void MAST::parallel_sum	(	const libMesh::Parallel::Communicator &	c,
		ComplexMatrixX &	mat
	)

inline

Definition at line 236 of file utility.h.

template<typename ValType >

void MAST::transform_to_elem_matrix	(	libMesh::DenseMatrix< ValType > &	m,
		const DenseRealMatrix &	m_real
	)

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template<>

void MAST::transform_to_elem_matrix	(	DenseRealMatrix &	m,
		const DenseRealMatrix &	m_real
	)

inline

Definition at line 67 of file utility.h.

template<>

void MAST::transform_to_elem_matrix	(	DenseComplexMatrix &	m,
		const DenseRealMatrix &	m_real
	)

inline

Definition at line 78 of file utility.h.

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template<typename ValType >

void MAST::transform_to_elem_vector	(	libMesh::DenseVector< ValType > &	v,
		const DenseRealVector &	v_real
	)

template<>

void MAST::transform_to_elem_vector	(	DenseRealVector &	v,
		const DenseRealVector &	v_real
	)

inline

Definition at line 39 of file utility.h.

template<>

void MAST::transform_to_elem_vector	(	DenseComplexVector &	v,
		const DenseRealVector &	v_real
	)

inline

Definition at line 49 of file utility.h.

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