MFEM  v4.0
Finite element discretization library
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mfem::LinearForm Class Reference

Class for linear form - Vector with associated FE space and LFIntegrators. More...

#include <linearform.hpp>

Inheritance diagram for mfem::LinearForm:
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Collaboration diagram for mfem::LinearForm:
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Public Member Functions

 LinearForm (FiniteElementSpace *f)
 Creates linear form associated with FE space *f. More...
 
 LinearForm (FiniteElementSpace *f, LinearForm *lf)
 Create a LinearForm on the FiniteElementSpace f, using the same integrators as the LinearForm lf. More...
 
 LinearForm ()
 Create an empty LinearForm without an associated FiniteElementSpace. More...
 
LinearFormoperator= (const LinearForm &rhs)
 Copy assignment. Only the data of the base class Vector is copied. More...
 
FiniteElementSpaceGetFES ()
 (DEPRECATED) Return the FE space associated with the LinearForm. More...
 
FiniteElementSpaceFESpace ()
 Read+write access to the associated FiniteElementSpace. More...
 
const FiniteElementSpaceFESpace () const
 Read-only access to the associated FiniteElementSpace. More...
 
void AddDomainIntegrator (LinearFormIntegrator *lfi)
 Adds new Domain Integrator. Assumes ownership of lfi. More...
 
void AddBoundaryIntegrator (LinearFormIntegrator *lfi)
 Adds new Boundary Integrator. Assumes ownership of lfi. More...
 
void AddBoundaryIntegrator (LinearFormIntegrator *lfi, Array< int > &bdr_attr_marker)
 Add new Boundary Integrator, restricted to the given boundary attributes. More...
 
void AddBdrFaceIntegrator (LinearFormIntegrator *lfi)
 Adds new Boundary Face Integrator. Assumes ownership of lfi. More...
 
void AddBdrFaceIntegrator (LinearFormIntegrator *lfi, Array< int > &bdr_attr_marker)
 Add new Boundary Face Integrator, restricted to the given boundary attributes. More...
 
Array< LinearFormIntegrator * > * GetDLFI ()
 Access all integrators added with AddDomainIntegrator() which are not DeltaLFIntegrators or they are DeltaLFIntegrators with non-delta coefficients. More...
 
Array< DeltaLFIntegrator * > * GetDLFI_Delta ()
 Access all integrators added with AddDomainIntegrator() which are DeltaLFIntegrators with delta coefficients. More...
 
Array< LinearFormIntegrator * > * GetBLFI ()
 Access all integrators added with AddBoundaryIntegrator(). More...
 
Array< LinearFormIntegrator * > * GetFLFI ()
 Access all integrators added with AddBdrFaceIntegrator(). More...
 
Array< Array< int > * > * GetFLFI_Marker ()
 Access all boundary markers added with AddBdrFaceIntegrator(). If no marker was specified when the integrator was added, the corresponding pointer (to Array<int>) will be NULL. More...
 
void Assemble ()
 Assembles the linear form i.e. sums over all domain/bdr integrators. More...
 
void AssembleDelta ()
 Assembles delta functions of the linear form. More...
 
void Update ()
 Update the object according to the associated FE space fes. More...
 
void Update (FiniteElementSpace *f)
 Associate a new FE space, *f, with this object and Update() it. */. More...
 
void Update (FiniteElementSpace *f, Vector &v, int v_offset)
 Associate a new FE space, *f, with this object and use the data of v, offset by v_offset, to initialize this object's Vector::data. More...
 
double operator() (const GridFunction &gf) const
 Return the action of the LinearForm as a linear mapping. More...
 
LinearFormoperator= (double value)
 Redefine '=' for LinearForm = constant. More...
 
LinearFormoperator= (const Vector &v)
 Copy the data from v. More...
 
 ~LinearForm ()
 Destroys linear form. More...
 
- Public Member Functions inherited from mfem::Vector
 Vector ()
 Default constructor for Vector. Sets size = 0 and data = NULL. More...
 
 Vector (const Vector &)
 Copy constructor. Allocates a new data array and copies the data. More...
 
 Vector (int s)
 Creates vector of size s. More...
 
 Vector (double *_data, int _size)
 Creates a vector referencing an array of doubles, owned by someone else. More...
 
 Vector (int size_, MemoryType mt)
 Create a Vector of size size_ using MemoryType mt. More...
 
void UseDevice (bool use_dev) const
 Enable execution of Vector operations using the mfem::Device. More...
 
bool UseDevice () const
 Return the device flag of the Memory object used by the Vector. More...
 
void Load (std::istream **in, int np, int *dim)
 Reads a vector from multiple files. More...
 
void Load (std::istream &in, int Size)
 Load a vector from an input stream. More...
 
void Load (std::istream &in)
 Load a vector from an input stream, reading the size from the stream. More...
 
void SetSize (int s)
 Resize the vector to size s. More...
 
void SetSize (int s, MemoryType mt)
 Resize the vector to size s using MemoryType mt. More...
 
void SetSize (int s, Vector &v)
 Resize the vector to size s using the MemoryType of v. More...
 
void SetData (double *d)
 
void SetDataAndSize (double *d, int s)
 Set the Vector data and size. More...
 
void NewDataAndSize (double *d, int s)
 Set the Vector data and size, deleting the old data, if owned. More...
 
void NewMemoryAndSize (const Memory< double > &mem, int s, bool own_mem)
 Reset the Vector to use the given external Memory mem and size s. More...
 
void MakeDataOwner () const
 Set the Vector data (host pointer) ownership flag. More...
 
void Destroy ()
 Destroy a vector. More...
 
int Size () const
 Returns the size of the vector. More...
 
int Capacity () const
 Return the size of the currently allocated data array. More...
 
double * GetData () const
 Return a pointer to the beginning of the Vector data. More...
 
 operator double * ()
 Conversion to double *. More...
 
 operator const double * () const
 Conversion to const double *. More...
 
Memory< double > & GetMemory ()
 Return a reference to the Memory object used by the Vector. More...
 
const Memory< double > & GetMemory () const
 Return a reference to the Memory object used by the Vector, const version. More...
 
void SyncMemory (const Vector &v)
 Update the memory location of the vector to match v. More...
 
void SyncAliasMemory (const Vector &v)
 Update the alias memory location of the vector to match v. More...
 
bool OwnsData () const
 Read the Vector data (host pointer) ownership flag. More...
 
void StealData (double **p)
 Changes the ownership of the data; after the call the Vector is empty. More...
 
double * StealData ()
 Changes the ownership of the data; after the call the Vector is empty. More...
 
double & Elem (int i)
 Access Vector entries. Index i = 0 .. size-1. More...
 
const double & Elem (int i) const
 Read only access to Vector entries. Index i = 0 .. size-1. More...
 
double & operator() (int i)
 Access Vector entries using () for 0-based indexing. More...
 
const double & operator() (int i) const
 Read only access to Vector entries using () for 0-based indexing. More...
 
double operator* (const double *) const
 Dot product with a double * array. More...
 
double operator* (const Vector &v) const
 Return the inner-product. More...
 
Vectoroperator= (const double *v)
 Copy Size() entries from v. More...
 
Vectoroperator= (const Vector &v)
 Copy assignment. More...
 
Vectoroperator= (double value)
 Redefine '=' for vector = constant. More...
 
Vectoroperator*= (double c)
 
Vectoroperator/= (double c)
 
Vectoroperator-= (double c)
 
Vectoroperator-= (const Vector &v)
 
Vectoroperator+= (const Vector &v)
 
VectorAdd (const double a, const Vector &Va)
 (*this) += a * Va More...
 
VectorSet (const double a, const Vector &x)
 (*this) = a * x More...
 
void SetVector (const Vector &v, int offset)
 
void Neg ()
 (*this) = -(*this) More...
 
void Swap (Vector &other)
 Swap the contents of two Vectors. More...
 
void median (const Vector &lo, const Vector &hi)
 v = median(v,lo,hi) entrywise. Implementation assumes lo <= hi. More...
 
void GetSubVector (const Array< int > &dofs, Vector &elemvect) const
 
void GetSubVector (const Array< int > &dofs, double *elem_data) const
 
void SetSubVector (const Array< int > &dofs, const double value)
 Set the entries listed in dofs to the given value. More...
 
void SetSubVector (const Array< int > &dofs, const Vector &elemvect)
 
void SetSubVector (const Array< int > &dofs, double *elem_data)
 
void AddElementVector (const Array< int > &dofs, const Vector &elemvect)
 Add (element) subvector to the vector. More...
 
void AddElementVector (const Array< int > &dofs, double *elem_data)
 
void AddElementVector (const Array< int > &dofs, const double a, const Vector &elemvect)
 
void SetSubVectorComplement (const Array< int > &dofs, const double val)
 Set all vector entries NOT in the 'dofs' array to the given 'val'. More...
 
void Print (std::ostream &out=mfem::out, int width=8) const
 Prints vector to stream out. More...
 
void Print_HYPRE (std::ostream &out) const
 Prints vector to stream out in HYPRE_Vector format. More...
 
void Randomize (int seed=0)
 Set random values in the vector. More...
 
double Norml2 () const
 Returns the l2 norm of the vector. More...
 
double Normlinf () const
 Returns the l_infinity norm of the vector. More...
 
double Norml1 () const
 Returns the l_1 norm of the vector. More...
 
double Normlp (double p) const
 Returns the l_p norm of the vector. More...
 
double Max () const
 Returns the maximal element of the vector. More...
 
double Min () const
 Returns the minimal element of the vector. More...
 
double Sum () const
 Return the sum of the vector entries. More...
 
double DistanceSquaredTo (const double *p) const
 Compute the square of the Euclidean distance to another vector. More...
 
double DistanceTo (const double *p) const
 Compute the Euclidean distance to another vector. More...
 
int CheckFinite () const
 Count the number of entries in the Vector for which isfinite is false, i.e. the entry is a NaN or +/-Inf. More...
 
virtual ~Vector ()
 Destroys vector. More...
 
const double * Read (bool on_dev=true) const
 Shortcut for mfem::Read(vec.GetMemory(), vec.Size(), on_dev). More...
 
const double * HostRead () const
 Shortcut for mfem::Read(vec.GetMemory(), vec.Size(), false). More...
 
double * Write (bool on_dev=true)
 Shortcut for mfem::Write(vec.GetMemory(), vec.Size(), on_dev). More...
 
double * HostWrite ()
 Shortcut for mfem::Write(vec.GetMemory(), vec.Size(), false). More...
 
double * ReadWrite (bool on_dev=true)
 Shortcut for mfem::ReadWrite(vec.GetMemory(), vec.Size(), on_dev). More...
 
double * HostReadWrite ()
 Shortcut for mfem::ReadWrite(vec.GetMemory(), vec.Size(), false). More...
 
 Vector (N_Vector nv)
 Construct a wrapper Vector from SUNDIALS N_Vector. More...
 
virtual N_Vector ToNVector ()
 Return a new wrapper SUNDIALS N_Vector of type SUNDIALS_NVEC_SERIAL. More...
 
virtual void ToNVector (N_Vector &nv)
 Update an existing wrapper SUNDIALS N_Vector to point to this Vector. More...
 

Protected Member Functions

bool HaveDeltaLocations ()
 If true, the delta locations are not (re)computed during assembly. More...
 
void ResetDeltaLocations ()
 Force (re)computation of delta locations. More...
 

Protected Attributes

FiniteElementSpacefes
 FE space on which the LinearForm lives. Not owned. More...
 
int extern_lfs
 Indicates the LinerFormIntegrators stored in dlfi, dlfi_delta, blfi, and flfi are owned by another LinearForm. More...
 
Array< LinearFormIntegrator * > dlfi
 Set of Domain Integrators to be applied. More...
 
Array< DeltaLFIntegrator * > dlfi_delta
 Separate array for integrators with delta function coefficients. More...
 
Array< LinearFormIntegrator * > blfi
 Set of Boundary Integrators to be applied. More...
 
Array< Array< int > * > blfi_marker
 Entries are not owned. More...
 
Array< LinearFormIntegrator * > flfi
 Set of Boundary Face Integrators to be applied. More...
 
Array< Array< int > * > flfi_marker
 Entries are not owned. More...
 
Array< int > dlfi_delta_elem_id
 The element ids where the centers of the delta functions lie. More...
 
Array< IntegrationPointdlfi_delta_ip
 The reference coordinates where the centers of the delta functions lie. More...
 
- Protected Attributes inherited from mfem::Vector
Memory< double > data
 
int size
 

Detailed Description

Class for linear form - Vector with associated FE space and LFIntegrators.

Definition at line 23 of file linearform.hpp.

Constructor & Destructor Documentation

mfem::LinearForm::LinearForm ( FiniteElementSpace f)
inline

Creates linear form associated with FE space *f.

The pointer f is not owned by the newly constructed object.

Definition at line 66 of file linearform.hpp.

mfem::LinearForm::LinearForm ( FiniteElementSpace f,
LinearForm lf 
)

Create a LinearForm on the FiniteElementSpace f, using the same integrators as the LinearForm lf.

The pointer f is not owned by the newly constructed object.

The integrators in lf are copied as pointers and they are not owned by the newly constructed LinearForm.

Definition at line 19 of file linearform.cpp.

mfem::LinearForm::LinearForm ( )
inline

Create an empty LinearForm without an associated FiniteElementSpace.

The associated FiniteElementSpace can be set later using one of the methods: Update(FiniteElementSpace *) or Update(FiniteElementSpace *, Vector &, int).

Definition at line 82 of file linearform.hpp.

mfem::LinearForm::~LinearForm ( )

Destroys linear form.

Definition at line 255 of file linearform.cpp.

Member Function Documentation

void mfem::LinearForm::AddBdrFaceIntegrator ( LinearFormIntegrator lfi)

Adds new Boundary Face Integrator. Assumes ownership of lfi.

Definition at line 66 of file linearform.cpp.

void mfem::LinearForm::AddBdrFaceIntegrator ( LinearFormIntegrator lfi,
Array< int > &  bdr_attr_marker 
)

Add new Boundary Face Integrator, restricted to the given boundary attributes.

Assumes ownership of lfi. The array bdr_attr_marker is stored internally as a pointer to the given Array<int> object.

Definition at line 72 of file linearform.cpp.

void mfem::LinearForm::AddBoundaryIntegrator ( LinearFormIntegrator lfi)

Adds new Boundary Integrator. Assumes ownership of lfi.

Definition at line 53 of file linearform.cpp.

void mfem::LinearForm::AddBoundaryIntegrator ( LinearFormIntegrator lfi,
Array< int > &  bdr_attr_marker 
)

Add new Boundary Integrator, restricted to the given boundary attributes.

Assumes ownership of lfi. The array bdr_attr_marker is stored internally as a pointer to the given Array<int> object.

Definition at line 59 of file linearform.cpp.

void mfem::LinearForm::AddDomainIntegrator ( LinearFormIntegrator lfi)

Adds new Domain Integrator. Assumes ownership of lfi.

Definition at line 39 of file linearform.cpp.

void mfem::LinearForm::Assemble ( )

Assembles the linear form i.e. sums over all domain/bdr integrators.

Definition at line 79 of file linearform.cpp.

void mfem::LinearForm::AssembleDelta ( )

Assembles delta functions of the linear form.

Definition at line 202 of file linearform.cpp.

FiniteElementSpace* mfem::LinearForm::FESpace ( )
inline

Read+write access to the associated FiniteElementSpace.

Definition at line 98 of file linearform.hpp.

const FiniteElementSpace* mfem::LinearForm::FESpace ( ) const
inline

Read-only access to the associated FiniteElementSpace.

Definition at line 100 of file linearform.hpp.

Array<LinearFormIntegrator*>* mfem::LinearForm::GetBLFI ( )
inline

Access all integrators added with AddBoundaryIntegrator().

Definition at line 137 of file linearform.hpp.

Array<LinearFormIntegrator*>* mfem::LinearForm::GetDLFI ( )
inline

Access all integrators added with AddDomainIntegrator() which are not DeltaLFIntegrators or they are DeltaLFIntegrators with non-delta coefficients.

Definition at line 130 of file linearform.hpp.

Array<DeltaLFIntegrator*>* mfem::LinearForm::GetDLFI_Delta ( )
inline

Access all integrators added with AddDomainIntegrator() which are DeltaLFIntegrators with delta coefficients.

Definition at line 134 of file linearform.hpp.

FiniteElementSpace* mfem::LinearForm::GetFES ( )
inline

(DEPRECATED) Return the FE space associated with the LinearForm.

Deprecated:
Use FESpace() instead.

Definition at line 95 of file linearform.hpp.

Array<LinearFormIntegrator*>* mfem::LinearForm::GetFLFI ( )
inline

Access all integrators added with AddBdrFaceIntegrator().

Definition at line 140 of file linearform.hpp.

Array<Array<int>*>* mfem::LinearForm::GetFLFI_Marker ( )
inline

Access all boundary markers added with AddBdrFaceIntegrator(). If no marker was specified when the integrator was added, the corresponding pointer (to Array<int>) will be NULL.

Definition at line 145 of file linearform.hpp.

bool mfem::LinearForm::HaveDeltaLocations ( )
inlineprotected

If true, the delta locations are not (re)computed during assembly.

Definition at line 54 of file linearform.hpp.

double mfem::LinearForm::operator() ( const GridFunction gf) const
inline

Return the action of the LinearForm as a linear mapping.

Linear forms are linear functionals which map GridFunctions to the real numbers. This method performs this mapping which in this case is equivalent as an inner product of the LinearForm and GridFunction.

Definition at line 175 of file linearform.hpp.

LinearForm& mfem::LinearForm::operator= ( const LinearForm rhs)
inline

Copy assignment. Only the data of the base class Vector is copied.

It is assumed that this object and rhs use FiniteElementSpaces that have the same size.

Note
Defining this method overwrites the implicitly defined copy assignemnt operator.

Definition at line 90 of file linearform.hpp.

LinearForm & mfem::LinearForm::operator= ( double  value)

Redefine '=' for LinearForm = constant.

Definition at line 242 of file linearform.cpp.

LinearForm & mfem::LinearForm::operator= ( const Vector v)

Copy the data from v.

The size of v must be equal to the size of the associated FiniteElementSpace fes.

Definition at line 248 of file linearform.cpp.

void mfem::LinearForm::ResetDeltaLocations ( )
inlineprotected

Force (re)computation of delta locations.

Definition at line 57 of file linearform.hpp.

void mfem::LinearForm::Update ( )
inline

Update the object according to the associated FE space fes.

This method should be called when the asscociated FE space fes has been updated, e.g. after its associated Mesh object has been refined.

Note
This method does not perform assembly.

Definition at line 158 of file linearform.hpp.

void mfem::LinearForm::Update ( FiniteElementSpace f)
inline

Associate a new FE space, *f, with this object and Update() it. */.

Definition at line 161 of file linearform.hpp.

void mfem::LinearForm::Update ( FiniteElementSpace f,
Vector v,
int  v_offset 
)

Associate a new FE space, *f, with this object and use the data of v, offset by v_offset, to initialize this object's Vector::data.

Note
This method does not perform assembly.

Definition at line 195 of file linearform.cpp.

Member Data Documentation

Array<LinearFormIntegrator*> mfem::LinearForm::blfi
protected

Set of Boundary Integrators to be applied.

Definition at line 40 of file linearform.hpp.

Array<Array<int>*> mfem::LinearForm::blfi_marker
protected

Entries are not owned.

Definition at line 41 of file linearform.hpp.

Array<LinearFormIntegrator*> mfem::LinearForm::dlfi
protected

Set of Domain Integrators to be applied.

Definition at line 34 of file linearform.hpp.

Array<DeltaLFIntegrator*> mfem::LinearForm::dlfi_delta
protected

Separate array for integrators with delta function coefficients.

Definition at line 37 of file linearform.hpp.

Array<int> mfem::LinearForm::dlfi_delta_elem_id
protected

The element ids where the centers of the delta functions lie.

Definition at line 48 of file linearform.hpp.

Array<IntegrationPoint> mfem::LinearForm::dlfi_delta_ip
protected

The reference coordinates where the centers of the delta functions lie.

Definition at line 51 of file linearform.hpp.

int mfem::LinearForm::extern_lfs
protected

Indicates the LinerFormIntegrators stored in dlfi, dlfi_delta, blfi, and flfi are owned by another LinearForm.

Definition at line 31 of file linearform.hpp.

FiniteElementSpace* mfem::LinearForm::fes
protected

FE space on which the LinearForm lives. Not owned.

Definition at line 27 of file linearform.hpp.

Array<LinearFormIntegrator*> mfem::LinearForm::flfi
protected

Set of Boundary Face Integrators to be applied.

Definition at line 44 of file linearform.hpp.

Array<Array<int>*> mfem::LinearForm::flfi_marker
protected

Entries are not owned.

Definition at line 45 of file linearform.hpp.


The documentation for this class was generated from the following files: