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Chaste Commit::333233612e3dcc941d260418acd7b5ccdc30390e
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#include <QuadraticBasisFunction.hpp>
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) *(ELEMENT_DIM+2)/2 > &rReturnValue) |
static void | ComputeBasisFunctionDerivatives (const ChastePoint< ELEMENT_DIM > &rPoint, c_matrix< double, ELEMENT_DIM,(ELEMENT_DIM+1) *(ELEMENT_DIM+2)/2 > &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) *(ELEMENT_DIM+2)/2 > &rReturnValue) |
Quadratic basis functions for the finite element method, computed on a canonical element.
Definition at line 46 of file QuadraticBasisFunction.hpp.
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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. |
Definition at line 78 of file QuadraticBasisFunction.cpp.
References NEVER_REACHED.
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Compute the derivative of a basis function at a point within an canonical 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. |
Definition at line 190 of file QuadraticBasisFunction.cpp.
References NEVER_REACHED.
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Compute the derivatives of 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 | The derivatives of the basis functions, in local index order. Each column of the matrix gives the derivative along each axis. |
Definition at line 343 of file QuadraticBasisFunction.cpp.
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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 | The values of the basis functions, in local index order. |
Definition at line 322 of file QuadraticBasisFunction.cpp.
Referenced by AbstractNonlinearElasticitySolver< DIM >::AssembleOnBoundaryElement(), ContinuumMechanicsNeumannBcsAssembler< DIM >::AssembleOnBoundaryElement(), AbstractNonlinearElasticitySolver< DIM >::AssembleOnBoundaryElementForPressureOnDeformedBc(), CompressibleNonlinearElasticitySolver< DIM >::AssembleOnElement(), IncompressibleNonlinearElasticitySolver< DIM >::AssembleOnElement(), and AbstractContinuumMechanicsAssembler< DIM, CAN_ASSEMBLE_VECTOR, CAN_ASSEMBLE_MATRIX >::AssembleOnElement().
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static |
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 | The derivatives of the basis functions, in local index order. Each entry is a vector (VectorDouble instance) giving the derivative along each axis. |
Definition at line 369 of file QuadraticBasisFunction.cpp.
Referenced by AbstractNonlinearElasticitySolver< DIM >::AssembleOnBoundaryElementForPressureOnDeformedBc(), CompressibleNonlinearElasticitySolver< DIM >::AssembleOnElement(), IncompressibleNonlinearElasticitySolver< DIM >::AssembleOnElement(), AbstractContinuumMechanicsAssembler< DIM, CAN_ASSEMBLE_VECTOR, CAN_ASSEMBLE_MATRIX >::AssembleOnElement(), and AbstractNonlinearElasticitySolver< DIM >::GetElementCentroidStrain().