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PhysicsBasedAnimationToolkit 0.0.10
Cross-platform C++20 library of algorithms and data structures commonly used in computer graphics research on physically-based simulation.
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PhysicsBasedAnimationToolkit 0.0.10
Cross-platform C++20 library of algorithms and data structures commonly used in computer graphics research on physically-based simulation.
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Utility functions computing common mesh quadrature quantities. More...
#include "Concepts.h"#include "Jacobian.h"#include "ShapeFunctions.h"#include "pbat/Aliases.h"#include "pbat/common/Concepts.h"#include <exception>#include <fmt/format.h>Go to the source code of this file.
Namespaces | |
| namespace | pbat |
| The main namespace of the library. | |
| namespace | pbat::fem |
| Finite Element Method (FEM) | |
Functions | |
| template<CElement TElement, int QuadratureOrder, class TDerivedDetJe> | |
| void | pbat::fem::ToMeshQuadratureWeights (Eigen::MatrixBase< TDerivedDetJe > &detJeThenWg) |
| Computes the inner product weights \( \mathbf{w}_{ge} \in \mathbb{R}^{|G^e| \times |E|}
\) such that \( \int_\Omega \cdot d\Omega = \sum_e \sum_g w_{ge} \cdot \). | |
| template<CElement TElement, int QuadratureOrder, class TDerivedE, class TDerivedX> | |
| auto | pbat::fem::MeshQuadratureWeights (Eigen::MatrixBase< TDerivedE > const &E, Eigen::MatrixBase< TDerivedX > const &X) -> Eigen::Matrix< typename TDerivedX::Scalar, TElement::template QuadratureType< QuadratureOrder, typename TDerivedX::Scalar >::kPoints, Eigen::Dynamic > |
| Computes the inner product weights \( \mathbf{w}_{ge} \in \mathbb{R}^{|G^e| \times |E|}
\) such that \( \int_\Omega \cdot d\Omega = \sum_e \sum_g w_{ge} \cdot \). | |
| template<int QuadratureOrder, CMesh TMesh> | |
| auto | pbat::fem::MeshQuadratureWeights (TMesh const &mesh) -> Eigen::Matrix< typename TMesh::ScalarType, TMesh::ElementType::template QuadratureType< QuadratureOrder, typename TMesh::ScalarType >::kPoints, Eigen::Dynamic > |
| Computes the inner product weights \( \mathbf{w}_{ge} \in \mathbb{R}^{|G^e| \times |E|}
\) such that \( \int_\Omega \cdot d\Omega = \sum_e \sum_g w_{ge} \cdot \). | |
| template<common::CIndex TIndex> | |
| auto | pbat::fem::MeshQuadratureElements (TIndex nElements, TIndex nQuadPtsPerElement) |
| Computes the element quadrature points indices for each quadrature point, given the number of elements and the quadrature weights matrix. | |
| template<common::CIndex TIndex, class TDerivedwg> | |
| auto | pbat::fem::MeshQuadratureElements (TIndex nElements, Eigen::DenseBase< TDerivedwg > const &wg) |
| Computes the element quadrature points indices for each quadrature point, given the number of elements and the quadrature weights matrix. | |
| template<class TDerivedE, class TDerivedwg> | |
| auto | pbat::fem::MeshQuadratureElements (Eigen::DenseBase< TDerivedE > const &E, Eigen::DenseBase< TDerivedwg > const &wg) |
| Computes the element quadrature points indices for each quadrature point. | |
| template<CElement TElement, int QuadratureOrder, common::CArithmetic TScalar = Scalar, common::CIndex TIndex = Index> | |
| auto | pbat::fem::MeshReferenceQuadraturePoints (TIndex nElements) |
| Computes the element quadrature points in reference element space. | |
| template<int QuadratureOrder, CMesh TMesh> | |
| auto | pbat::fem::MeshReferenceQuadraturePoints (TMesh const &mesh) |
| Computes the element quadrature points in reference element space. | |
Utility functions computing common mesh quadrature quantities.
1.13.2