coefficient.hpp File Reference

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Classes
class	mfem::Coefficient
	Base class Coefficients that optionally depend on space and time. These are used by the BilinearFormIntegrator, LinearFormIntegrator, and NonlinearFormIntegrator classes to represent the physical coefficients in the PDEs that are being discretized. This class can also be used in a more general way to represent functions that don't necessarily belong to a FE space, e.g., to project onto GridFunctions to use as initial conditions, exact solutions, etc. See, e.g., ex4 or ex22 for these uses. More...
class	mfem::ConstantCoefficient
	A coefficient that is constant across space and time. More...
class	mfem::PWConstCoefficient
	A piecewise constant coefficient with the constants keyed off the element attribute numbers. More...
class	mfem::PWCoefficient
	A piecewise coefficient with the pieces keyed off the element attribute numbers. More...
class	mfem::FunctionCoefficient
	A general function coefficient. More...
class	mfem::CartesianCoefficient
class	mfem::CartesianXCoefficient
	Scalar coefficient which returns the x-component of the evaluation point. More...
class	mfem::CartesianYCoefficient
	Scalar coefficient which returns the y-component of the evaluation point. More...
class	mfem::CartesianZCoefficient
	Scalar coefficient which returns the z-component of the evaluation point. More...
class	mfem::CylindricalRadialCoefficient
class	mfem::CylindricalAzimuthalCoefficient
class	mfem::SphericalRadialCoefficient
class	mfem::SphericalAzimuthalCoefficient
class	mfem::SphericalPolarCoefficient
class	mfem::GridFunctionCoefficient
	Coefficient defined by a GridFunction. This coefficient is mesh dependent. More...
class	mfem::TransformedCoefficient
	A coefficient that depends on 1 or 2 parent coefficients and a transformation rule represented by a C-function. More...
class	mfem::DeltaCoefficient
	Delta function coefficient optionally multiplied by a weight coefficient and a scaled time dependent C-function. More...
class	mfem::RestrictedCoefficient
	Derived coefficient that takes the value of the parent coefficient for the active attributes and is zero otherwise. More...
class	mfem::VectorCoefficient
	Base class for vector Coefficients that optionally depend on time and space. More...
class	mfem::VectorConstantCoefficient
	Vector coefficient that is constant in space and time. More...
class	mfem::PWVectorCoefficient
	A piecewise vector-valued coefficient with the pieces keyed off the element attribute numbers. More...
class	mfem::PositionVectorCoefficient
class	mfem::VectorFunctionCoefficient
	A general vector function coefficient. More...
class	mfem::VectorArrayCoefficient
	Vector coefficient defined by an array of scalar coefficients. Coefficients that are not set will evaluate to zero in the vector. This object takes ownership of the array of coefficients inside it and deletes them at object destruction. More...
class	mfem::VectorGridFunctionCoefficient
	Vector coefficient defined by a vector GridFunction. More...
class	mfem::GradientGridFunctionCoefficient
	Vector coefficient defined as the Gradient of a scalar GridFunction. More...
class	mfem::CurlGridFunctionCoefficient
	Vector coefficient defined as the Curl of a vector GridFunction. More...
class	mfem::DivergenceGridFunctionCoefficient
	Scalar coefficient defined as the Divergence of a vector GridFunction. More...
class	mfem::VectorDeltaCoefficient
	Vector coefficient defined by a scalar DeltaCoefficient and a constant vector direction. More...
class	mfem::VectorRestrictedCoefficient
	Derived vector coefficient that has the value of the parent vector where it is active and is zero otherwise. More...
class	mfem::MatrixCoefficient
	Base class for Matrix Coefficients that optionally depend on time and space. More...
class	mfem::MatrixConstantCoefficient
	A matrix coefficient that is constant in space and time. More...
class	mfem::PWMatrixCoefficient
	A piecewise matrix-valued coefficient with the pieces keyed off the element attribute numbers. More...
class	mfem::MatrixFunctionCoefficient
	A matrix coefficient with an optional scalar coefficient multiplier q. The matrix function can either be represented by a std function or a constant matrix provided when constructing this object. More...
class	mfem::MatrixArrayCoefficient
	Matrix coefficient defined by a matrix of scalar coefficients. Coefficients that are not set will evaluate to zero in the vector. The coefficient is stored as a flat Array with indexing (i,j) -> i*width+j. More...
class	mfem::MatrixRestrictedCoefficient
	Derived matrix coefficient that has the value of the parent matrix coefficient where it is active and is zero otherwise. More...
class	mfem::SumCoefficient
	Scalar coefficient defined as the linear combination of two scalar coefficients or a scalar and a scalar coefficient. More...
class	mfem::SymmetricMatrixCoefficient
	Base class for symmetric matrix coefficients that optionally depend on time and space. More...
class	mfem::SymmetricMatrixConstantCoefficient
	A matrix coefficient that is constant in space and time. More...
class	mfem::SymmetricMatrixFunctionCoefficient
	A matrix coefficient with an optional scalar coefficient multiplier q. The matrix function can either be represented by a std function or a constant matrix provided when constructing this object. More...
class	mfem::ProductCoefficient
	Scalar coefficient defined as the product of two scalar coefficients or a scalar and a scalar coefficient. More...
class	mfem::RatioCoefficient
	Scalar coefficient defined as the ratio of two scalars where one or both scalars are scalar coefficients. More...
class	mfem::PowerCoefficient
	Scalar coefficient defined as a scalar raised to a power. More...
class	mfem::InnerProductCoefficient
	Scalar coefficient defined as the inner product of two vector coefficients. More...
class	mfem::VectorRotProductCoefficient
	Scalar coefficient defined as a cross product of two vectors in the xy-plane. More...
class	mfem::DeterminantCoefficient
	Scalar coefficient defined as the determinant of a matrix coefficient. More...
class	mfem::VectorSumCoefficient
	Vector coefficient defined as the linear combination of two vectors. More...
class	mfem::ScalarVectorProductCoefficient
	Vector coefficient defined as a product of scalar and vector coefficients. More...
class	mfem::NormalizedVectorCoefficient
	Vector coefficient defined as a normalized vector field (returns v/|v|) More...
class	mfem::VectorCrossProductCoefficient
	Vector coefficient defined as a cross product of two vectors. More...
class	mfem::MatrixVectorProductCoefficient
	Vector coefficient defined as a product of a matrix coefficient and a vector coefficient. More...
class	mfem::IdentityMatrixCoefficient
	Constant matrix coefficient defined as the identity of dimension d. More...
class	mfem::MatrixSumCoefficient
	Matrix coefficient defined as the linear combination of two matrices. More...
class	mfem::MatrixProductCoefficient
	Matrix coefficient defined as the product of two matrices. More...
class	mfem::ScalarMatrixProductCoefficient
	Matrix coefficient defined as a product of a scalar coefficient and a matrix coefficient. More...
class	mfem::TransposeMatrixCoefficient
	Matrix coefficient defined as the transpose a matrix coefficient. More...
class	mfem::InverseMatrixCoefficient
	Matrix coefficient defined as the inverse a matrix coefficient. More...
class	mfem::OuterProductCoefficient
	Matrix coefficient defined as the outer product of two vector coefficients. More...
class	mfem::CrossCrossCoefficient
	Matrix coefficient defined as -a k x k x, for a vector k and scalar a. More...
class	mfem::VectorQuadratureFunctionCoefficient
	Vector quadrature function coefficient which requires that the quadrature rules used for this vector coefficient be the same as those that live within the supplied QuadratureFunction. More...
class	mfem::QuadratureFunctionCoefficient
	Quadrature function coefficient which requires that the quadrature rules used for this coefficient be the same as those that live within the supplied QuadratureFunction. More...
class	mfem::CoefficientVector
	Class to represent a coefficient evaluated at quadrature points. More...

Namespaces
namespace	mfem

Typedefs
typedef CartesianZCoefficient	mfem::CylindricalZCoefficient
typedef VectorCoefficient	mfem::DiagonalMatrixCoefficient
typedef MatrixVectorProductCoefficient	mfem::MatVecCoefficient
	Convenient alias for the MatrixVectorProductCoefficient.

Enumerations
enum class	mfem::CoefficientStorage : int { mfem::FULL = 0 , mfem::CONSTANTS = 1 << 0 , mfem::SYMMETRIC = 1 << 1 , mfem::COMPRESSED = CONSTANTS | SYMMETRIC }
	Flags that determine what storage optimizations to use in CoefficientVector. More...

Functions
CoefficientStorage	mfem::operator| (CoefficientStorage a, CoefficientStorage b)
int	mfem::operator& (CoefficientStorage a, CoefficientStorage b)
real_t	mfem::ComputeLpNorm (real_t p, Coefficient &coeff, Mesh &mesh, const IntegrationRule *irs[])
	Compute the Lp norm of a function f. \( \| f \|_{Lp} = ( \int_\Omega | f |^p d\Omega)^{1/p} \).
real_t	mfem::ComputeLpNorm (real_t p, VectorCoefficient &coeff, Mesh &mesh, const IntegrationRule *irs[])
	Compute the Lp norm of a vector function f = {f_i}_i=1...N. \( \| f \|_{Lp} = ( \sum_i \| f_i \|_{Lp}^p )^{1/p} \).
real_t	mfem::ComputeGlobalLpNorm (real_t p, Coefficient &coeff, ParMesh &pmesh, const IntegrationRule *irs[])
	Compute the global Lp norm of a function f. \( \| f \|_{Lp} = ( \int_\Omega | f |^p d\Omega)^{1/p} \).
real_t	mfem::ComputeGlobalLpNorm (real_t p, VectorCoefficient &coeff, ParMesh &pmesh, const IntegrationRule *irs[])
	Compute the global Lp norm of a vector function f = {f_i}_i=1...N. \( \| f \|_{Lp} = ( \sum_i \| f_i \|_{Lp}^p )^{1/p} \).