Apply the transpose of the operator applied by T_apply(). Args: x: Data to transform (in place). The shape is ``(

Apply the inverse transpose of T_apply(). Args: x: Data to transform (in place). The shape is ``(num_cells, n, di

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@brief Indices of coefficients that are active for a given integral (kernel). A form is split into multiple integrals (kernels) and each integral mig

Assign ``x0`` values to a PETSc vector ``x1``. Values in ``x0``, which is possibly a stacked collection of arrays, are assigned ``x1``. When

Block size for the vector.

@brief Return facet type of cell. For simplex and hypercube cell types, this is independent of the facet index, but for prism and pyramid, it can be

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@brief Mesh MPI communicator. @return The communicator on which the mesh is distributed.

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Compute the total number of boundary facets in the mesh.

@brief Check whether V is subspace of this, or this itself @param[in] V The space to be tested for inclusion @return True if V is contained in or is e

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Create degree-of-freedom maps on a given topology. Args: comm: MPI communicator topology: Mesh topology elements: Sequenc

Permittivity and permeability tensors in the PML region.

Create a global bounding box tree.

Create an interval mesh. Args: comm: MPI communicator. nx: Number of cells. points: Coordinates of the end points.

Wrap a distributed DOLFINx vector as a PETSc vector. Args: x: The vector to wrap as a PETSc vector. Returns: A PETSc vector

Curl operator in cylindrical coordinates.

Build point ownership data for a mesh-points pair. First, potential collisions are found by computing intersections between the bounding boxe

Assemble a discrete curl operator. Args: space0: H1 space to interpolate the gradient from. space1: H(curl) space to interpolate

Compute the average of a function over the domain.

@brief Coefficient function mesh integration entity indices. This method is equivalent to ::domain_arg, but returns mesh entity indices for coefficie

Value dtype of the constant.

Return elapsed time. Returns: Elapsed time.

Compile UFL object with FFCx and CFFI. Args: ufl_object: Object to compile, e.g. ``ufl.Form``. form_compiler_options: Options use

Find the full path of the PETSc shared library. Returns: Full path to the PETSc shared library. Raises: RuntimeError: If PET

Index map that describes size and parallel distribution.

@brief Index map for the row or column space. The row index map contains ghost entries for rows which may be inserted into and the column index map c

Print out a summary of all Timer measurements. When used in parallel, a reduction is applied across all processes. By default, the maximum ti

@brief Set `markers[i] = true` if dof `i` has a boundary condition applied. Value of `markers[i]` is not changed otherwise. @param[in,out] markers E

----------------------------------------------------------------------------- Get the (maximum) width of a level structure

Return norm of a MatNest matrix.

Compute the L2(Ω)-norm of v.

Compute the L2 error of the Poisson problem solution in V.

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@brief Set entries in an array that are constrained by Dirichlet boundary conditions. Entries in `x` that are constrained by a Dirichlet boundary con

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Reset elapsed time and (re-)start timer.

@brief Extract a sub-function (a view into the Function). @param[in] i Index of subfunction @return The sub-function

Create a SuperLU_DIST linear solver. Solve linear system :math:`Au = b` via LU decomposition. The SuperLU_DIST solver has options set to ups

@brief Tabulate the physical coordinates of all dofs on this process. @todo Remove - see function in interpolate.h @param[in] transpose If false the

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@brief Copy to a dense matrix. @note This function is typically used for debugging and not used in production. @note Ghost rows are also returned, and

Create cell mesh tags on a refined mesh from parent mesh tags. Args: meshtag: Mesh tags on the coarse, parent mesh. msh1: The ref

Exact solution.

Value shape of the Expression.

Return an expression for the stress σ given a displacement field.

@brief Create a scatterer for data with a layout described by an IndexMap and a block size. @param[in] map Index map that describes the parallel layo

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Transform basis from reference to physical ordering/orientation. Transform basis functions from the reference element ordering and or

Create a Constant. Args: domain: DOLFINx or UFL mesh c: Value of the constant.

Assign block data to a PETSc vector. Args: maps: Iterable of tuples each containing an ``IndexMap`` and the associated block size

Compute the action of the matrix A on vector x, result in y.

Compute the area of a triangle embedded in 2D from the three vertices.

@brief Argument function space. @return Argument function space, nullptr if there is no argument.

Block operators and block RHS vector for the Stokes problem.

Function to build nullspace for 2D/3D elasticity.

Array for permuting Gmsh ordering to DOLFINx ordering. Args: cell_type: DOLFINx cell type. num_nodes: Number of nodes in the cell

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