G+Smo
24.08.0
Geometry + Simulation Modules
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Defines different expressions. More...
Go to the source code of this file.
Classes | |
class | _expr< E, false > |
Base class for all expressions. More... | |
class | asdiag_expr< E > |
class | asdiag_expr< E > |
class | constMat_expr |
class | exp_expr< E > |
class | exp_expr< E > |
class | flat_expr< E > |
class | gsExprHelper< T > |
class | gsFeSpace< T > |
class | gsFeSpace< T > |
struct | gsFeSpaceData< T > |
Struct containing information for matrix assembly. More... | |
class | gsFeVariable< T > |
class | gsFeVariable< T > |
class | idMat_expr |
class | integral_expr< E > |
class | integral_expr< E > |
class | lapl_expr< E > |
class | matrix_by_space_expr< E1, E2 > |
class | matrix_by_space_expr_tr< E1, E2 > |
class | normal_expr< T > |
class | onormal_expr< T > |
class | pow_expr< E > |
class | pow_expr< E > |
class | ppart_expr< E > |
class | ppart_expr< E > |
class | ppartval_expr< E > |
class | ppartval_expr< E > |
class | sign_expr< E > |
class | sign_expr< E > |
class | tangent_expr< T > |
Namespaces | |
gismo | |
The G+Smo namespace, containing all definitions for the library. | |
gismo::expr | |
This namespace contains expressions used for FE computations. | |
Functions | |
template<class E > | |
EIGEN_STRONG_INLINE abs_expr< E > | abs (const E &u) |
Absolute value. | |
template<class T > | |
EIGEN_STRONG_INLINE curl_expr< T > | curl (const gsFeVariable< T > &u) |
The curl of a finite element variable. | |
template<typename E > | |
EIGEN_STRONG_INLINE diag_expr < E > const | diagonal (E const &u) |
Get diagonal elements of matrix as a vector. | |
template<class T > | |
EIGEN_STRONG_INLINE dJacG_expr< T > | dJac (const gsGeometryMap< T > &G) |
The partial derivatives of the Jacobian matrix of a geometry map. | |
template<class E > | |
EIGEN_STRONG_INLINE dJacdc_expr< E > | dJacdc (const E &u, index_t c) |
The derivative of the jacobian of a geometry map with respect to a coordinate. | |
template<class T > | |
EIGEN_STRONG_INLINE fform2nd_expr< T > | fform2nd (const gsGeometryMap< T > &G) |
The second fundamental form of G. | |
template<typename E > | |
EIGEN_STRONG_INLINE flat_expr < E > const | flat (E const &u) |
Make a matrix 2x2 expression "flat". | |
GISMO_EXPR_VECTOR_EXPRESSION (norm, norm, 1) | |
Eucledian Norm. | |
GISMO_EXPR_VECTOR_EXPRESSION (sqNorm, squaredNorm, 1) | |
Squared Eucledian Norm. | |
GISMO_EXPR_VECTOR_EXPRESSION (normalized, normalized, 0) | |
Normalization of a vector to unit measure. | |
GISMO_EXPR_VECTOR_EXPRESSION (inv, cramerInverse, 0) | |
Inverse of a matrix expression. | |
template<class E > | |
EIGEN_STRONG_INLINE grad_expr< E > | grad (const E &u) |
The gradient of a variable. | |
template<class T > | |
EIGEN_STRONG_INLINE hess_expr < gsGeometryMap< T > > | hess (const gsGeometryMap< T > &u) |
The hessian of a geometry map. | |
template<class T > | |
EIGEN_STRONG_INLINE hess_expr < gsFeSolution< T > > | hess (const gsFeSolution< T > &u) |
The hessian of a solution variable. | |
EIGEN_STRONG_INLINE idMat_expr | id (const index_t dim) |
The identity matrix of dimension dim. | |
template<class E > | |
EIGEN_STRONG_INLINE jac_expr< E > | jac (const symbol_expr< E > &u) |
The Jacobian matrix of a FE variable. | |
template<class T > | |
EIGEN_STRONG_INLINE jac_expr < gsGeometryMap< T > > | jac (const gsGeometryMap< T > &G) |
The Jacobian matrix of a geometry map. | |
template<class T > | |
EIGEN_STRONG_INLINE grad_expr < gsFeSolution< T > > | jac (const gsFeSolution< T > &s) |
Jacobian matrix for a solution expression. | |
template<typename E1 , typename E2 > | |
EIGEN_STRONG_INLINE matrix_by_space_expr< E1, E2 > const | matrix_by_space (E1 const &u, E2 const &v) |
template<typename E1 , typename E2 > | |
EIGEN_STRONG_INLINE matrix_by_space_expr_tr< E1, E2 > const | matrix_by_space_tr (E1 const &u, E2 const &v) |
template<class T > | |
EIGEN_STRONG_INLINE meas_expr< T > | meas (const gsGeometryMap< T > &G) |
The measure of a geometry map. | |
template<class T > | |
EIGEN_STRONG_INLINE nabla_expr< T > | nabla (const gsFeVariable< T > &u) |
The nabla ( \(\nabla\)) of a finite element variable. | |
template<class T > | |
nabla2_expr< T > | nabla2 (const gsFeVariable< T > &u) |
The nabla2 ( \(\nabla^2\)) of a finite element variable. | |
template<class T > | |
EIGEN_STRONG_INLINE onormal_expr< T > | nv (const gsGeometryMap< T > &u) |
The (outer pointing) boundary normal of a geometry map. | |
template<typename E1 , typename E2 > | |
EIGEN_STRONG_INLINE frprod_expr< E1, E2 > const | operator% (_expr< E1 > const &u, _expr< E2 > const &v) |
Frobenious product (also known as double dot product) operator for expressions. | |
template<typename E1 , typename E2 > | |
EIGEN_STRONG_INLINE mult_expr < E1, E2 > const | operator* (_expr< E1 > const &u, _expr< E2 > const &v) |
Multiplication operator for expressions. | |
template<typename E1 , typename E2 > | |
EIGEN_STRONG_INLINE add_expr < E1, E2 > const | operator+ (_expr< E1 > const &u, _expr< E2 > const &v) |
Addition operator for expressions. | |
template<typename E > | |
EIGEN_STRONG_INLINE add_expr < E, _expr< typename E::Scalar, true > > | operator+ (_expr< E > const &u, const typename E::Scalar v) |
Addition operator for expressions and numbers. | |
template<typename E > | |
EIGEN_STRONG_INLINE add_expr < E, _expr< typename E::Scalar, true > > | operator+ (const typename E::Scalar v, _expr< E > const &u) |
Addition operator for expressions and numbers. | |
template<typename E1 , typename E2 > | |
EIGEN_STRONG_INLINE sub_expr < E1, E2 > const | operator- (_expr< E1 > const &u, _expr< E2 > const &v) |
Subtraction operator for expressions. | |
template<typename E1 , typename E2 > | |
EIGEN_STRONG_INLINE divide_expr< E1, E2 > const | operator/ (_expr< E1 > const &u, _expr< E2 > const &v) |
Scalar division operator for expressions. | |
template<typename E > | |
std::ostream & | operator<< (std::ostream &os, const _expr< E > &b) |
Stream operator for expressions. | |
template<typename E > | |
EIGEN_STRONG_INLINE replicate_expr< E > const | replicate (E const &u, index_t n, index_t m=1) |
Replicate an expression. | |
template<typename E > | |
EIGEN_STRONG_INLINE reshape_expr< E > const | reshape (E const &u, index_t n, index_t m) |
Reshape an expression. | |
template<typename E1 , typename E2 > | |
EIGEN_STRONG_INLINE summ_expr < E1, E2 > const | summ (E1 const &u, E2 const &M) |
Matrix-summation operator for expressions. | |
template<class T > | |
EIGEN_STRONG_INLINE tangent_expr< T > | tv (const gsGeometryMap< T > &u) |
The tangent boundary vector of a geometry map in 2D. | |
Defines different expressions.
This file is part of the G+Smo library.
This Source Code Form is subject to the terms of the Mozilla Public License, v. 2.0. If a copy of the MPL was not distributed with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
Author(s): A. Mantzaflaris