MFEM  v4.3.0 Finite element discretization library
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::FunctionCoefficient
A general function coefficient. More...

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::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::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::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...

mfem

## Typedefs

typedef VectorCoefficient mfem::DiagonalMatrixCoefficient

typedef
MatrixVectorProductCoefficient
mfem::MatVecCoefficient
Convenient alias for the MatrixVectorProductCoefficient. More...

## Functions

double mfem::ComputeLpNorm (double p, Coefficient &coeff, Mesh &mesh, const IntegrationRule *irs[])
Compute the Lp norm of a function f. $$\| f \|_{Lp} = ( \int_\Omega | f |^p d\Omega)^{1/p}$$. More...

double mfem::ComputeLpNorm (double p, VectorCoefficient &coeff, Mesh &mesh, const IntegrationRule *irs[])
Compute the Lp norm of a vector function f = {f_i}_i=1...N. $$\| f \|_{Lp} = ( \sum_i \| f_i \|_{Lp}^p )^{1/p}$$. More...

double mfem::ComputeGlobalLpNorm (double p, Coefficient &coeff, ParMesh &pmesh, const IntegrationRule *irs[])
Compute the global Lp norm of a function f. $$\| f \|_{Lp} = ( \int_\Omega | f |^p d\Omega)^{1/p}$$. More...

double mfem::ComputeGlobalLpNorm (double p, VectorCoefficient &coeff, ParMesh &pmesh, const IntegrationRule *irs[])
Compute the global Lp norm of a vector function f = {f_i}_i=1...N. $$\| f \|_{Lp} = ( \sum_i \| f_i \|_{Lp}^p )^{1/p}$$. More...