A finite element function. A finite element function is represented by a function space (domain, element and dofmap) and a vector holding the

Interface to manage XDMF files.

A constant with respect to a domain.

An object for evaluating functions of finite element functions. Represents a mathematical expression evaluated at a pre-defined set of points

A mesh.

Interface to VTK files. VTK supports arbitrary order Lagrange finite elements for the geometry description. XDMF is the preferred format for

Writer for VTX files, using ADIOS2 to create the files. VTX supports arbitrary order Lagrange finite elements for the geometry descri

A finite element form.

High-level class for solving linears problem using a PETSc KSP. Solves problems of the form :math:`a_{ij}(u, v) = f_i(v), i,j=0,\\ldots,N\\

Topology for a :class:`dolfinx.mesh.Mesh`.

A space on which Functions (fields) can be defined.

Mesh tags associate data (markers) with some mesh entities.

@brief Degree-of-freedom map. This class handles the mapping of degrees of freedom. It builds a dof map based on an ElementDofLayout on a specific me

A finite element.

Adjacency list representation of a graph.

Bounding box trees used in collision detection.

@brief A duplicate MPI communicator and manage lifetime of the communicator.

Coordinate element describing the geometry map for mesh cells.

Degree-of-freedom map. This class handles the mapping of degrees of freedom. It builds a dof map based on a FiniteElement on a specific mesh.

Bidirectional map between entities in two topologies.

@brief Placeholder for the creation of an identity partitioner in refine.

Forward declaration

It is a simple wrapper for a PETSc matrix pointer (Mat). Its main purpose is to assist memory management of PETSc Mat objects. For advanced usage, ac

Distributed compressed sparse row matrix.

The geometry of a :class:`dolfinx.mesh.Mesh`.

r"""High-level class for solving linear problems using SuperLU_DIST. Solves problems of the form :math:`a(u, v) = L(v) \; \forall v \in V` us

Newton solver for non-linear problems. Deprecated.

Nonlinear problem class for a PDE problem.

Background electric field expression.

Compiled UFL form without associated DOLFINx data.

Representation of Dirichlet boundary conditions. The conditions are imposed on a linear system.

Data for representing a finite element. :param family: Element type. :param degree: Polynomial degree of the element. :param shape: Shape

@brief Type of integral

Matrix-free operator for a bilinear form. This class provides an operator that takes a bilinear form and provides the action of the bilinear

Data for representing a mesh and associated tags. Args: mesh: Mesh. cell_tags: MeshTags for cells. facet_tags: MeshTags f

Nonlinear problem class for a PDE problem using SNES interface.

High-level class for solving nonlinear problems with PETSc SNES. Solves problems of the form :math:`F_i(u, v) = 0, i=0,\\ldots,N\\ \\forall v

Physical group info. Args: dim: dimension of the physical group tag: tag of the physical group

Class for storing data related to the ownership of points.

SuperLU_DIST matrix.

SuperLU_DIST solver.

@brief This class provides storage and pretty-printing for tables. Example usage: Table table("Timings"); table.set("Foo", "Assemble", 0.010); table

A timer for timing section of code. The recommended usage is with a context manager. Example: With a context manager, the timer is s

Distributed vector object.

Base class for ADIOS2-based writers

@brief Modes for representing block structured matrices.

Cell type identifier

Enum for different diagonal types

The class represents the degree-of-freedom (dofs) for an element. Dofs are associated with a mesh entity. This class also handles sub-space dofs, whic

@brief A bidirectional map relating entities in one topology to another.