Create a map from the vertices of the mesh to the corresponding degree of freedom.

@brief Get DOLFINx cell type and degree from VTK cell type. @param[in] vtk_cell_type VTK cell type identifier. @return Return the cell type and degre

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Write data at cells of the mesh. Args: filename: File to write to. mesh: Mesh. data: Data at the cells of the mesh, local

Write data at vertices of the mesh. Args: filename: File to write to. mesh: Mesh. data: Data at the points of the mesh, l

Compute the L2 norm of a finite element function.

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Transcendental equation for TEx modes.

Transcendental equation for TMx modes.

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Assemble bilinear form into a matrix. Args: A: The matrix to assemble into. It must have been initialized with the correct sp

Assemble linear form into a new Vector. Args: L: The linear form to assemble. constants: Constants that appear in the form. If ``

Assert rows of a and b are equal, up to a row permutation.

Return list of bcs that have the same space as V.

Return (area_error, circumference_error) for a degree-p curved disk mesh with N cells.

Compile a single UFL form.

Loads options from JSON files.

Returns thread id when running with pytest-xdist in parallel.

Compile a single 'zero' UFL form. I.e. a form with no integrals.

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

Argument function space if Expression has argument.

Assemble P1 mass matrix over a mesh into the PETSc matrix A.

Assemble provided FFCx/UFC kernel over a mesh into the array b.

Attach a matrix-free operator to a PETSc KSP object. Args: ksp: The PETSc KSP object. bilinear_form: The bilinear form. b

Coordinates of lower and upper corners of bounding boxes. Note: Rows `2*ibbox` and `2*ibbox+1` correspond to the lower

@brief Access coordinates of lower and upper corners of bounding boxes (const version). @return The flattened row-major coordinate vector, where the

Solve Stokes problem using blocked matrices and a direct solver.

Solve Stokes problem using blocked matrices and iterative solver.

@brief Get 'block mode'.

----------------------------------------------------------------------------- Build a simple dofmap from ElementDofmap based on mesh entity indices (l

----------------------------------------------------------------------------- Build a collapsed DofMap from a dofmap view. Extracts dofs and doesn't b

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@brief Determines the types of entities in mesh give an list of cell types in the mesh. @param cell_types A list of cell types in the mesh @return A l

Build PETSc nullspace for 3D elasticity.

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@brief Given source ranks (ranks that own indices ghosted by the calling rank), compute ranks that ghost indices owned by the calling rank. @param com

Analytical scattering, extinction and absorption efficiencies.

Analytical absorption, scattering and extinction efficiencies.

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Get the cell type of the topology.

Conjugate gradient solver for the linear system A x = b.

@brief Solve problem A.x = b using the conjugate gradient (CG) method. @param[in, out] x Solution vector, may be set to an initial guess hence no zer

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Interface for dolfinx/common

Integration entities for integrals on boundaries of all cells. Parameters: msh: The mesh. Returns: Facets to integrate over,

Compute the distance between a set of convex bodies. For each convex body defined in `bodies`; (a set of 3D points for each body) find the sh

Helper function to compute (cell, local_facet_index) pairs for exterior facets.

----------------------------------------------------------------------------- @brief Build nonlocal part of dual graph for mesh and return number of n

@brief Compute re-ordering map from old local index to new local index. The M dofs owned by this process are reordered for locality and fill the posi

Compute the global indices of ghosts in a submap. @param[in] submap_src The submap source ranks @param[in] submap_dest The submap destination ranks @p

Given an index map and a subset of local indices (can be owned or ghost but must be unique and sorted), compute the owned, ghost and ghost owners in t

@brief Convert adjacency list edges from global indexing to local indexing. Nodes beyond `num_local_nodes` are discarded. @param[in] g Graph with gl

@brief Creates the default boundary vertices routine for a given reorder function. @param[in] reorder_fn A cell reorder funciton which will be applied

Compute and return the dof layout.

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Create PML permittivity and permeability tensors.

Compute a global bounding tree (collective on comm) This can be used to find which process a point might have a collision with. @param[in] comm MPI Co

Create a sparse matrix that is compatible with a bilinear form. Args: a: Bilinear form. block_mode: Block mode of the CSR matrix.

@brief Create a mesh and save to the file 'mesh.xdmf'