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Chaste Commit::333233612e3dcc941d260418acd7b5ccdc30390e
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#include <LinearBasisFunction.hpp>
Public Member Functions | |
double | ComputeBasisFunction (const ChastePoint< 3 > &rPoint, unsigned basisIndex) |
double | ComputeBasisFunction (const ChastePoint< 2 > &rPoint, unsigned basisIndex) |
double | ComputeBasisFunction (const ChastePoint< 1 > &rPoint, unsigned basisIndex) |
c_vector< double, 3 > | ComputeBasisFunctionDerivative (const ChastePoint< 3 > &rPoint, unsigned basisIndex) |
c_vector< double, 2 > | ComputeBasisFunctionDerivative (const ChastePoint< 2 > &rPoint, unsigned basisIndex) |
c_vector< double, 1 > | ComputeBasisFunctionDerivative (const ChastePoint< 1 > &rPoint, unsigned basisIndex) |
Static Public Member Functions | |
static double | ComputeBasisFunction (const ChastePoint< ELEMENT_DIM > &rPoint, unsigned basisIndex) |
static c_vector< double, ELEMENT_DIM > | ComputeBasisFunctionDerivative (const ChastePoint< ELEMENT_DIM > &rPoint, unsigned basisIndex) |
static void | ComputeBasisFunctions (const ChastePoint< ELEMENT_DIM > &rPoint, c_vector< double, ELEMENT_DIM+1 > &rReturnValue) |
static void | ComputeBasisFunctionDerivatives (const ChastePoint< ELEMENT_DIM > &rPoint, c_matrix< double, ELEMENT_DIM, ELEMENT_DIM+1 > &rReturnValue) |
static void | ComputeTransformedBasisFunctionDerivatives (const ChastePoint< ELEMENT_DIM > &rPoint, const c_matrix< double, ELEMENT_DIM, ELEMENT_DIM > &rInverseJacobian, c_matrix< double, ELEMENT_DIM, ELEMENT_DIM+1 > &rReturnValue) |
Linear basis functions for the finite element method, computed on a canonical element.
Definition at line 46 of file LinearBasisFunction.hpp.
double LinearBasisFunction< 1 >::ComputeBasisFunction | ( | const ChastePoint< 1 > & | rPoint, |
unsigned | basisIndex | ||
) |
Compute a basis function at a point within an element (1d case).
rPoint | The point at which to compute the basis function. The results are undefined if this is not within the canonical element. |
basisIndex | Which basis function to compute. This is a local index within a canonical element. |
Definition at line 121 of file LinearBasisFunction.cpp.
References NEVER_REACHED.
double LinearBasisFunction< 2 >::ComputeBasisFunction | ( | const ChastePoint< 2 > & | rPoint, |
unsigned | basisIndex | ||
) |
Compute a basis function at a point within an element (2d case).
rPoint | The point at which to compute the basis function. The results are undefined if this is not within the canonical element. |
basisIndex | Which basis function to compute. This is a local index within a canonical element. |
Definition at line 88 of file LinearBasisFunction.cpp.
References NEVER_REACHED.
double LinearBasisFunction< 3 >::ComputeBasisFunction | ( | const ChastePoint< 3 > & | rPoint, |
unsigned | basisIndex | ||
) |
Compute a basis function at a point within an element (3d case).
rPoint | The point at which to compute the basis function. The results are undefined if this is not within the canonical element. |
basisIndex | Which basis function to compute. This is a local index within a canonical element. |
Definition at line 51 of file LinearBasisFunction.cpp.
References NEVER_REACHED.
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static |
Compute a basis function at a point within an element.
rPoint | The point at which to compute the basis function. The results are undefined if this is not within the canonical element. |
basisIndex | Which basis function to compute. This is a local index within a canonical element. |
c_vector< double, 1 > LinearBasisFunction< 1 >::ComputeBasisFunctionDerivative | ( | const ChastePoint< 1 > & | rPoint, |
unsigned | basisIndex | ||
) |
Compute the derivative of a basis function at a point within a canonical element (1d case).
rPoint | (unused) The point at which to compute the basis function. The results are undefined if this is not within the canonical element. |
basisIndex | Which basis function to compute. This is a local index within a canonical element. |
Definition at line 257 of file LinearBasisFunction.cpp.
c_vector< double, 2 > LinearBasisFunction< 2 >::ComputeBasisFunctionDerivative | ( | const ChastePoint< 2 > & | rPoint, |
unsigned | basisIndex | ||
) |
Compute the derivative of a basis function at a point within a canonical element (2d case).
rPoint | (unused) The point at which to compute the basis function. The results are undefined if this is not within the canonical element. |
basisIndex | Which basis function to compute. This is a local index within a canonical element. |
Definition at line 217 of file LinearBasisFunction.cpp.
c_vector< double, 3 > LinearBasisFunction< 3 >::ComputeBasisFunctionDerivative | ( | const ChastePoint< 3 > & | rPoint, |
unsigned | basisIndex | ||
) |
Compute the derivative of a basis function at a point within a canonical element (3d case).
rPoint | (unused) The point at which to compute the basis function. The results are undefined if this is not within the canonical element. |
basisIndex | Which basis function to compute. This is a local index within a canonical element. |
Definition at line 169 of file LinearBasisFunction.cpp.
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Compute the derivative of a basis function at a point within a canonical element.
rPoint | (unused) The point at which to compute the basis function. The results are undefined if this is not within the canonical element. |
basisIndex | Which basis function to compute. This is a local index within a canonical element. |
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Compute the derivatives of all basis functions at a point within an element. Returns the derivatives as the column vectors of the matrix argument in local index order.
rPoint | The point at which to compute the basis functions. The results are undefined if this is not within the canonical element. |
rReturnValue | A reference to a matrix, to be filled in |
Definition at line 320 of file LinearBasisFunction.cpp.
Referenced by AbstractFeCableIntegralAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM, CAN_ASSEMBLE_VECTOR, CAN_ASSEMBLE_MATRIX, INTERPOLATION_LEVEL >::ComputeTransformedBasisFunctionDerivatives(), and AbstractFeVolumeIntegralAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM, CAN_ASSEMBLE_VECTOR, CAN_ASSEMBLE_MATRIX, INTERPOLATION_LEVEL >::ComputeTransformedBasisFunctionDerivatives().
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Compute all basis functions at a point within an element.
rPoint | The point at which to compute the basis functions. The results are undefined if this is not within the canonical element. |
rReturnValue | A reference to a vector, to be filled in |
Definition at line 287 of file LinearBasisFunction.cpp.
Referenced by QuadraturePointsGroup< DIM >::QuadraturePointsGroup(), CompressibleNonlinearElasticitySolver< DIM >::AssembleOnElement(), IncompressibleNonlinearElasticitySolver< DIM >::AssembleOnElement(), AbstractContinuumMechanicsAssembler< DIM, CAN_ASSEMBLE_VECTOR, CAN_ASSEMBLE_MATRIX >::AssembleOnElement(), and AbstractFunctionalCalculator< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >::CalculateOnElement().
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Compute the derivatives of all basis functions at a point within an element. This method will transform the results, for use within gaussian quadrature for example.
rPoint | The point at which to compute the basis functions. The results are undefined if this is not within the canonical element. |
rInverseJacobian | The inverse of the Jacobian matrix mapping the real element into the canonical element. |
rReturnValue | A reference to a vector, to be filled in (returned) Returns (in rReturnValue) The derivatives of the basis functions, in local index order. Each entry is a vector (c_vector<double, SPACE_DIM> instance) giving the derivative along each axis. |
Definition at line 347 of file LinearBasisFunction.cpp.
Referenced by AbstractContinuumMechanicsAssembler< DIM, CAN_ASSEMBLE_VECTOR, CAN_ASSEMBLE_MATRIX >::AssembleOnElement(), AbstractFunctionalCalculator< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >::CalculateOnElement(), AbstractCardiacMechanicsSolver< ELASTICITY_SOLVER, DIM >::ComputeDeformationGradientAndStretchInEachElement(), CellwiseDataGradient< DIM >::SetupGradients(), AbstractBoxDomainPdeModifier< DIM >::UpdateCellData(), and AbstractGrowingDomainPdeModifier< DIM >::UpdateCellData().