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.

Methods

`ImmutableInterface`	`generate_sid`, `with_`, `__setattr__`
`BasicInterface`	`disable_logging`, `enable_logging`, `has_interface_name`, `implementor_names`, `implementors`

Attributes

`CircleDomain`	`dim`, `domain`, `width`
`DomainDescriptionInterface`	`boundary_types`, `has_dirichlet`, `has_neumann`, `has_robin`
`ImmutableInterface`	`sid`, `sid_ignore`
`BasicInterface`	`logger`, `logging_disabled`, `name`, `uid`

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.

Methods

`ImmutableInterface`	`generate_sid`, `with_`, `__setattr__`
`BasicInterface`	`disable_logging`, `enable_logging`, `has_interface_name`, `implementor_names`, `implementors`

Attributes

`CylindricalDomain`	`bottom`, `diameter`, `dim`, `domain`, `height`, `lower_left`, `top`, `upper_right`, `volume`, `width`
`DomainDescriptionInterface`	`boundary_types`, `has_dirichlet`, `has_neumann`, `has_robin`
`ImmutableInterface`	`sid`, `sid_ignore`
`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.

Methods

`ImmutableInterface`	`generate_sid`, `with_`, `__setattr__`
`BasicInterface`	`disable_logging`, `enable_logging`, `has_interface_name`, `implementor_names`, `implementors`

Attributes

`LineDomain`	`dim`, `domain`, `left`, `right`, `width`
`DomainDescriptionInterface`	`boundary_types`, `has_dirichlet`, `has_neumann`, `has_robin`
`ImmutableInterface`	`sid`, `sid_ignore`
`BasicInterface`	`logger`, `logging_disabled`, `name`, `uid`

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.

Methods

`ImmutableInterface`	`generate_sid`, `with_`, `__setattr__`
`BasicInterface`	`disable_logging`, `enable_logging`, `has_interface_name`, `implementor_names`, `implementors`

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`	`sid`, `sid_ignore`
`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

Methods

`ImmutableInterface`	`generate_sid`, `with_`, `__setattr__`
`BasicInterface`	`disable_logging`, `enable_logging`, `has_interface_name`, `implementor_names`, `implementors`

Attributes

`TorusDomain`	`diameter`, `dim`, `domain`, `height`, `lower_left`, `upper_right`, `volume`, `width`
`DomainDescriptionInterface`	`boundary_types`, `has_dirichlet`, `has_neumann`, `has_robin`
`ImmutableInterface`	`sid`, `sid_ignore`
`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.

Methods

`ImmutableInterface`	`generate_sid`, `with_`, `__setattr__`
`BasicInterface`	`disable_logging`, `enable_logging`, `has_interface_name`, `implementor_names`, `implementors`

Attributes

`DomainDescriptionInterface`	`boundary_types`, `dim`, `has_dirichlet`, `has_neumann`, `has_robin`
`ImmutableInterface`	`sid`, `sid_ignore`
`BasicInterface`	`logger`, `logging_disabled`, `name`, `uid`

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.

Methods

`ImmutableInterface`	`generate_sid`, `with_`, `__setattr__`
`BasicInterface`	`disable_logging`, `enable_logging`, `has_interface_name`, `implementor_names`, `implementors`

Attributes

`CircularSectorDomain`	`angle`, `arc`, `num_points`, `radii`, `radius`
`PolygonalDomain`	`dim`, `holes`, `points`
`DomainDescriptionInterface`	`boundary_types`, `has_dirichlet`, `has_neumann`, `has_robin`
`ImmutableInterface`	`sid`, `sid_ignore`
`BasicInterface`	`logger`, `logging_disabled`, `name`, `uid`

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.

Methods

`ImmutableInterface`	`generate_sid`, `with_`, `__setattr__`
`BasicInterface`	`disable_logging`, `enable_logging`, `has_interface_name`, `implementor_names`, `implementors`

Attributes

`DiscDomain`	`boundary`, `num_points`, `radius`
`PolygonalDomain`	`dim`, `holes`, `points`
`DomainDescriptionInterface`	`boundary_types`, `has_dirichlet`, `has_neumann`, `has_robin`
`ImmutableInterface`	`sid`, `sid_ignore`
`BasicInterface`	`logger`, `logging_disabled`, `name`, `uid`

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.

Methods

`ImmutableInterface`	`generate_sid`, `with_`, `__setattr__`
`BasicInterface`	`disable_logging`, `enable_logging`, `has_interface_name`, `implementor_names`, `implementors`

Attributes

`PolygonalDomain`	`dim`, `holes`, `points`
`DomainDescriptionInterface`	`boundary_types`, `has_dirichlet`, `has_neumann`, `has_robin`
`ImmutableInterface`	`sid`, `sid_ignore`
`BasicInterface`	`logger`, `logging_disabled`, `name`, `uid`

points¶

boundary_types¶

holes¶

pymor.domaindescriptions package¶

Submodules¶

basic module¶

interfaces module¶

polygonal module¶

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