`pymor.analyticalproblems.domaindescriptions`¶

Module Contents¶

pymor.analyticalproblems.domaindescriptions.KNOWN_BOUNDARY_TYPES[source]¶

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

Bases: DomainDescription

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

Parameters

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

domain[source]¶

Methods

width

dim = 1[source]¶

property width[source]¶

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

Bases: 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[source]¶

radius[source]¶

arc[source]¶

radii[source]¶

num_points[source]¶

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

Bases: DomainDescription

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.

domain[source]¶

top[source]¶

bottom[source]¶

Methods

`diameter`
`height`
`lower_left`
`upper_right`
`volume`
`width`

dim = 2[source]¶

property diameter[source]¶

property height[source]¶

property lower_left[source]¶

property upper_right[source]¶

property volume[source]¶

property width[source]¶

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

Bases: 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[source]¶

boundary[source]¶

num_points[source]¶

class pymor.analyticalproblems.domaindescriptions.DomainDescription[source]¶

Bases: pymor.core.base.ImmutableObject

Describes a geometric domain along with its boundary.

dim[source]¶: The dimension of the domain

boundary_types[source]¶: Set of boundary types the domain has.

Methods

`has_dirichlet`
`has_neumann`
`has_robin`

property has_dirichlet[source]¶

property has_neumann[source]¶

property has_robin[source]¶

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

Bases: DomainDescription

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[source]¶

left[source]¶

right[source]¶

Methods

width

dim = 1[source]¶

property width[source]¶

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

Bases: DomainDescription

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[source]¶

boundary_types[source]¶

holes[source]¶

dim = 2[source]¶

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

Bases: DomainDescription

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.

domain[source]¶

left[source]¶

right[source]¶

top[source]¶

bottom[source]¶

Methods

`diameter`
`height`
`lower_left`
`upper_right`
`volume`
`width`

dim = 2[source]¶

property diameter[source]¶

property height[source]¶

property lower_left[source]¶

property upper_right[source]¶

property volume[source]¶

property width[source]¶

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

Bases: DomainDescription

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

domain[source]¶

Methods

`diameter`
`height`
`lower_left`
`upper_right`
`volume`
`width`

dim = 2[source]¶

property diameter[source]¶

property height[source]¶

property lower_left[source]¶

property upper_right[source]¶

property volume[source]¶

property width[source]¶

pymor.analyticalproblems.domaindescriptions¶

Module Contents¶

`pymor.analyticalproblems.domaindescriptions`¶