operator (reference) in projects: libCEED

Searched refs:operator (Results 1 – 25 of 45) sorted by relevance

/libCEED/examples/
H A D	README.md	`26 - * BP1 (scalar mass operator) with $Q=P+1$ 27 * BP2 (vector mass operator) with $Q=P+1$ 28 * BP3 (scalar Laplace operator) with $Q=P+1$ 29 * BP4 (vector Laplace operator) with $Q=P+1$ 30 * BP5 (collocated scalar Laplace operator) with $Q=P$ 31 * BP6 (collocated vector Laplace operator) with $Q=P$ 33 - * BP1 (scalar mass operator) with $Q=P+1$ 34 * BP3 (scalar Laplace operator) with $Q=P+1$ 36 - * BP1 (scalar mass operator) with $Q=P+1$ 37 * BP2 (vector mass operator) with $Q=P+1$ [all …]`
H A D	bps.md	`10 (mass-operator)= 50 (laplace-operator)= 54 The Laplace's operator used in BP3-BP6 is defined via the following variational formulation, i.e., …`
/libCEED/julia/LibCEED.jl/examples/
H A D	ex2-surface.jl	70 # Create the Q-function that builds the diffusion operator (i.e. computes its 88 # Create the operator that builds the quadrature data for the diffusion 89 # operator. 100 # Compute the quadrature data for the diffusion operator. 104 print("Computing the quadrature data for the diffusion operator ...") 109 # Create the Q-function that defines the action of the diffusion operator. 126 # Create the diffusion operator. 137 # Compute the mesh surface area using the diff operator: 153 # Apply the diffusion operator: 'u' -> 'v'.
H A D	ex1-volume.jl	67 # Create the Q-function that builds the mass operator (i.e. computes its 84 # Create the operator that builds the quadrature data for the mass operator. 95 # Compute the quadrature data for the mass operator. 100 print("Computing the quadrature data for the mass operator ...") 105 # Create the Q-function that defines the action of the mass operator. 120 # Create the mass operator. 131 # Compute the mesh volume using the mass operator: vol = 1^T \cdot M \cdot 1 139 # Apply the mass operator: 'u' -> 'v'.
H A D	ex3-volume.jl	77 …#Create the Q-function that builds the mass+diffusion operator ( i.e it computes the quadrature da… 102 # Create the operator that builds the quadrature data for the mass+diffusion operator. 113 # Compute the quadrature data for the mass+diff operator. 117 print("Computing the quadrature data for the mass+diffusion operator ...") 122 # Create the Q-function that defines the action of the mass+diffusion operator. 157 # Create the mass+diffusion operator. 170 # Compute the mesh volume using the mass+diffusion operator: vol = 1^T \cdot (M + K) \cdot 1 178 # Apply the mass+diffusion operator: 'u' -> 'v'.
H A D	ex1-volume-c.jl	10 # libCEED Q-function for building quadrature data for a mass operator 46 # libCEED Q-function for applying a mass operator 272 # Create the Q-function that builds the mass operator (i.e. computes its 305 # Create the operator that builds the quadrature data for the mass operator. 336 # Compute the quadrature data for the mass operator. 342 print("Computing the quadrature data for the mass operator ...") 352 # Create the Q-function that defines the action of the mass operator. 370 # Create the mass operator. 383 # Compute the mesh volume using the mass operator: vol = 1^T \cdot M \cdot 1 395 # Apply the mass operator: 'u' -> 'v'.
/libCEED/examples/python/
H A D	tutorial-5-operator.ipynb	38 …ment operator associated to a `libceed.QFunction` (see [the API documentation](https://libceed.org… 45 …te and apply a CeedOperator for the mass matrix in 1D. By applying this operator to a vector of 1'… 99 "# Setup operator\n", 107 "print('Setup operator: ', op_setup)\n", 109 "# Mass operator\n", 115 "print('Mass operator: ', op_mass)\n", 133 …ple, we create and apply a CeedOperator for the Poisson operator in 1D. By applying this operator … 187 "# Setup operator\n", 195 "print('Setup operator: ', op_setup)\n", 197 "# Poisson operator\n", [all …]
H A D	tutorial-6-shell.ipynb	43 "application of the mass operator. Arbitrary mesh and solution orders in 1D, 2D and 3D\n", 47 "domain $\\Omega$ respectively, by applying the mass operator to a vector of\n", 191 "Computing the quadrature data for the mass operator ... done.\n", 207 … operator to a vector of 1s. The command line option `-d` specifies the dimensionality of the doma… 219 "surface area of a given body using matrix-free application of a diffusion operator.\n", 282 "Computing the quadrature data for the diffusion operator ... done.\n", 298 …usion) operator. The command line option `-d` specifies the dimensionality of the domain Ω. The op…
/libCEED/doc/sphinx/source/
H A D	libCEEDapi.md	10 …ents are used, the resulting sparse matrix representation of the global operator is computationall… 11 libCEED provides an interface for matrix-free operator description that enables efficient evaluatio… 51 This is illustrated below for the simple case of symmetric linear operator on third order ($Q_3$) s… 62 (fig-operator-decomp)= 123 > - for example, the mass matrix operator maps a T-vector to a T'-vector 125 …> - using the parallel prolongation operator, one can map the solution T-vector to a solution … 132 …> - the T in TA indicates that the data format represents an operator from a T-vector to a T… 137 …> - the parallel prolongation operator, $\bm{P}$, (and its transpose) should use optimized matrix-… 138 > - note that $\bm{P}$ is the operator mapping T-vectors to L-vectors. 144 …> - note that the element prolongation operator is the mapping from an L-vector to an E-vect… [all …]
H A D	releasenotes.md	144 … and {c:func}`CeedOperatorGetFlopsEstimate` to facilitate estimating FLOPs in operator application. 440 - * BP1 (scalar mass operator) 441 * BP3 (scalar Laplace operator) 443 - * BP1 (scalar mass operator) 444 * BP2 (vector mass operator) 445 * BP3 (scalar Laplace operator) 446 * BP4 (vector Laplace operator) 447 * BP5 (collocated scalar Laplace operator) 448 * BP6 (collocated vector Laplace operator) 451 - * BP1 (scalar mass operator) [all …]
H A D	intro.md	`7 …the action of the operator (labeled as assembled), non assembling the matrix and storing only th… 10 …ry transfers (with respect to the polynomial order) and near-optimal FLOPs for operator evaluation. 16 …rations per degree of freedom for different representations of a linear operator for a PDE in 3D w… 21 … a new library that offers a purely algebraic interface for matrix-free operator representation an…`
/libCEED/include/ceed/
H A D	gen-tools.h	`10 friend OStream &operator<<(OStream &os, const Tab &tab); 24 OStream &operator<<(OStream &os, const Tab &tab) {`
/libCEED/examples/ceed/
H A D	index.md	11 …libCEED to compute the volume of a given body using a matrix-free application of the mass operator. 14 …s of a 1D, 2D, or 3D domain $\Omega$ respectively, by applying the mass operator to a vector of $1… 34 It computes the surface area of a given body using matrix-free application of a diffusion operator. 68 …ompute the volume of a given body using a matrix-free application of the screened Poisson operator. 71 …D, or 3D domain $\Omega$ respectively, by applying the screened Poisson operator to a vector of $1… 87 …ability to add multiple evaluation modes for the same input or output vector in a libCEED operator.
/libCEED/python/tests/
H A D	README.md	4 operators can be found in the file `test-5-operator.py`. 21 `test-5-operator.py` both contain the example function `load_qfs_so()` for
/libCEED/examples/deal.II/
H A D	bps-kokkos.h	`46 operator()(Portable::FEEvaluation<dim, fe_degree, n_q_points_1d, n_components, Number> fe_eval, in operator() function 60 operator()(Portable::FEEvaluation<dim, fe_degree, n_q_points_1d, n_components, Number> fe_eval, in operator() function 74 operator()(const typename Portable::MatrixFree<dim, Number>::Data data, in operator() function 98 operator()(const typename Portable::MatrixFree<dim, Number>::Data data, in operator() function`
/libCEED/doc/sphinx/source/api/
H A D	CeedOperator.rst	6 A `CeedOperator` defines the finite/spectral element operator associated to a :ref:`CeedQFunction`.
/libCEED/julia/LibCEED.jl/src/
H A D	Operator.jl	32 Create the operator that builds the Q-data associated with the mass matrix. 94 Apply the action of the operator `op` to the input vector `vin`, and store the result in the 112 Apply the action of the operator `op` to the input vector `vin`, and add the result to the
H A D	QFunction.jl	`61 - Build and apply the 3D mass operator 66 - Build and apply the 3D Poisson operator`
/libCEED/julia/LibCEED.jl/docs/src/
H A D	UserQFunctions.md	8 User Q-functions describe the action of the $D$ operator at quadrature points 18 Q-function from `ex1-volume.c`, which computes the action of the mass operator. 19 The mass operator on each element can be written as $B^\intercal D B$, where $B$ 20 is the basis operator, and $D$ represents multiplication by quadrature weights 26 /// libCEED Q-function for applying a mass operator 57 basis operator should be used to interpolate the trial and test functions from 106 action of the diffusion operator. When written in the form $B^\intercal D B$, in
/libCEED/rust/libceed/src/
H A D	lib.rs	`34 pub mod operator; module 154 operator::{CompositeOperator, Operator, OperatorField}, 1154 pub fn operator<'a, 'b>( in operator() method 1226 ceed.operator(&qf_build, QFunctionOpt::None, QFunctionOpt::None)? in ceed_t501() 1235 .operator(&qf_mass, QFunctionOpt::None, QFunctionOpt::None)? in ceed_t501()`
/libCEED/doc/papers/joss/
H A D	paper.md	95 …ss the global residual in operator notation (\autoref{fig:decomposition}), where $\mathcal P$ is a… 96 …ditions can be added by setting the target values prior to applying the operator representing the … 108 $A$ `CeedOperator` Linear or nonlinear operator acting on L-vectors 110 …rmediate representations) so long as the mathematical properties of the operator $A$ are preserved. 122 `libCEED` provides computation of the true operator diagonal for preconditioning with Jacobi and Ch… 157 …ve been developed using PETSc, where `libCEED` provides the matrix-free operator and preconditione… 166 …ns, accessed in this way, currently provide MFEM users with the fastest operator action on CPUs an…
/libCEED/tests/
H A D	README.md	`26 2. CeedOperator with operator composition tests\`
/libCEED/examples/rust/ex1-volume/src/
H A D	main.rs	`194 .operator(qf_build, QFunctionOpt::None, QFunctionOpt::None)? in example_1() 238 .operator(qf_mass, QFunctionOpt::None, QFunctionOpt::None)? in example_1()`
/libCEED/examples/rust/ex1-volume-vector/src/
H A D	main.rs	`198 .operator(qf_build, QFunctionOpt::None, QFunctionOpt::None)? in example_1_vector() 246 .operator(qf_mass, QFunctionOpt::None, QFunctionOpt::None)? in example_1_vector()`
/libCEED/julia/LibCEED.jl/.style/
H A D	ceed_style.jl	`124 # Check if there's a number literal on the LHS of a dot operator. 125 # In this case we need to surround the dot operator with whitespace`

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