pymor.domaindescriptions package

Submodules

basic module


class pymor.domaindescriptions.basic.CircleDomain(domain=(0, 1))[source]

Bases: pymor.domaindescriptions.interfaces.DomainDescriptionInterface

Describes a domain with the topology of a circle, i.e. a line with identified end points.

Parameters

domain
List [x_l, x_r] providing the left and right endpoint.
domain

class pymor.domaindescriptions.basic.CylindricalDomain(domain=([0, 0], [1, 1]), top='dirichlet', bottom='dirichlet')[source]

Bases: pymor.domaindescriptions.interfaces.DomainDescriptionInterface

Describes a cylindrical domain.

Boundary types can be associated edgewise.

Parameters

domain
List of two points defining the lower-left and upper-right corner of the domain. The left and right edge are identified.
top
The boundary type of the top edge.
bottom
The boundary type of the bottom edge.

Attributes

CylindricalDomain bottom, diameter, dim, domain, height, lower_left, top, upper_right, volume, width
DomainDescriptionInterface boundary_types, has_dirichlet, has_neumann, has_robin
ImmutableInterface add_with_arguments, sid, sid_ignore, with_arguments
BasicInterface logger, logging_disabled, name, uid
domain
top
bottom

class pymor.domaindescriptions.basic.LineDomain(domain=(0, 1), left='dirichlet', right='dirichlet')[source]

Bases: pymor.domaindescriptions.interfaces.DomainDescriptionInterface

Describes an interval domain.

Boundary types can be associated edgewise.

Parameters

domain
List [x_l, x_r] providing the left and right endpoint.
left
The boundary type of the left endpoint.
right
The boundary type of the right endpoint.
domain
left
right

class pymor.domaindescriptions.basic.RectDomain(domain=([0, 0], [1, 1]), left='dirichlet', right='dirichlet', top='dirichlet', bottom='dirichlet')[source]

Bases: pymor.domaindescriptions.interfaces.DomainDescriptionInterface

Describes a rectangular domain.

Boundary types can be associated edgewise.

Parameters

domain
List of two points defining the lower-left and upper-right corner of the domain.
left
The boundary type of the left edge.
right
The boundary type of the right edge.
top
The boundary type of the top edge.
bottom
The boundary type of the bottom edge.

Attributes

RectDomain bottom, diameter, dim, domain, height, left, lower_left, right, top, upper_right, volume, width
DomainDescriptionInterface boundary_types, has_dirichlet, has_neumann, has_robin
ImmutableInterface add_with_arguments, sid, sid_ignore, with_arguments
BasicInterface logger, logging_disabled, name, uid
domain
left
right
top
bottom

class pymor.domaindescriptions.basic.TorusDomain(domain=([0, 0], [1, 1]))[source]

Bases: pymor.domaindescriptions.interfaces.DomainDescriptionInterface

Describes a domain with the topology of a torus.

Parameters

domain
List of two points defining the lower-left and upper-right corner of the domain. The left and right edge are identified, as well as the bottom and top edge

Attributes

TorusDomain diameter, dim, domain, height, lower_left, upper_right, volume, width
DomainDescriptionInterface boundary_types, has_dirichlet, has_neumann, has_robin
ImmutableInterface add_with_arguments, sid, sid_ignore, with_arguments
BasicInterface logger, logging_disabled, name, uid
domain

interfaces module


class pymor.domaindescriptions.interfaces.DomainDescriptionInterface[source]

Bases: pymor.core.interfaces.ImmutableInterface

Describes a geometric domain along with its boundary.

dim

The dimension of the domain

boundary_types

Set of boundary types the domain has.

polygonal module


class pymor.domaindescriptions.polygonal.CircularSectorDomain(angle, radius, arc='dirichlet', radii='dirichlet', num_points=100)[source]

Bases: pymor.domaindescriptions.polygonal.PolygonalDomain

Describes a circular sector domain of variable radius.

Parameters

angle
The angle between 0 and 2*pi of the circular sector.
radius
The radius of the circular sector.
arc
The boundary type of the arc.
radii
The boundary type of the two radii.
num_points
The number of points of the polygonal chain approximating the circular boundary.
angle
radius
arc
radii
num_points

class pymor.domaindescriptions.polygonal.DiscDomain(radius, boundary='dirichlet', num_points=100)[source]

Bases: pymor.domaindescriptions.polygonal.PolygonalDomain

Describes a disc domain of variable radius.

Parameters

radius
The radius of the disc.
boundary
The boundary type of the boundary.
num_points
The number of points of the polygonal chain approximating the boundary.
radius
boundary
num_points

class pymor.domaindescriptions.polygonal.PolygonalDomain(points, boundary_types, holes=None)[source]

Bases: pymor.domaindescriptions.interfaces.DomainDescriptionInterface

Describes a domain with a polygonal boundary and polygonal holes inside the domain.

Parameters

points
List of points [x_0, x_1] that describe the polygonal chain that bounds the domain.
boundary_types
Either a dictionary {boundary_type: [i_0, ...], boundary_type: [j_0, ...], ...} with i_0, ... being the ids of boundary segments for a given boundary type (0 is the line connecting point 0 to 1, 1 is the line connecting point 1 to 2 etc.), or a function that returns the boundary type for a given coordinate.
holes
List of lists of points that describe the polygonal chains that bound the holes inside the domain.
points
boundary_types
holes