FESpace

To generate a finite element space only a finite element type and a grid is needed, dofmaps are generated automatically on their first demand.

ExtendableFEMBase.FESpace — Type

struct FESpace{Tv, Ti, FEType<:AbstractFiniteElement,AT<:AssemblyType}
	name::String                          # full name of finite element space (used in messages)
	broken::Bool                          # if true, broken dofmaps are generated
	ndofs::Int                            # total number of dofs
	coffset::Int                          # offset for component dofs
	xgrid::ExtendableGrid[Tv,Ti}          # link to xgrid 
	dofgrid::ExtendableGrid{Tv,Ti}	      # link to (sub) grid used for dof numbering (expected to be equal to or child grid of xgrid)
	dofmaps::Dict{Type{<:AbstractGridComponent},Any} # backpack with dofmaps
end

A struct that has a finite element type as parameter and carries dofmaps (CellDofs, FaceDofs, BFaceDofs) plus additional grid information and access to arrays holding coefficients if needed.

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ExtendableFEMBase.FESpace — Method

function FESpace{FEType<:AbstractFiniteElement,AT<:AssemblyType}(
	xgrid::ExtendableGrid{Tv,Ti};
	name = "",
	broken::Bool = false)

Constructor for FESpace of the given FEType, AT = ONCELLS/ONFACES/ONEDGES generates a finite elements space on the cells/faces/edges of the provided xgrid (if omitted ONCELLS is used as default). The broken switch allows to generate a broken finite element space (that is piecewise H1/Hdiv/HCurl). If no name is provided it is generated automatically from FEType. If no AT is provided, the space is generated ON_CELLS.

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Base.eltype — Method

eltype(
    _::FESpace{Tv, Ti, FEType<:AbstractFiniteElement, APT}
) -> Type{FEType} where FEType<:AbstractFiniteElement

Custom eltype function for FESpace returns the finite element type parameter of the finite element space.

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Base.get! — Method

get!(FES::FESpace, DM::Type{<:DofMap}) -> Any

To be called by getindex. This triggers lazy creation of non-existing dofmaps

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Base.getindex — Method

Base.getindex(FES::FESpace,DM::Type{<:DofMap})

Generic method for obtaining dofmap. This method is mutating in the sense that non-existing dofmaps are created on demand. Due to the fact that components are stored as Any the return value triggers type instability.

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Base.setindex! — Method

setindex!(FES::FESpace, v, DM::Type{<:DofMap}) -> Any

Set new dofmap

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Base.show — Method

show(
    io::IO,
    FES::FESpace{Tv, Ti, FEType<:AbstractFiniteElement, APT}
)

Custom show function for FESpace that prints some information and all available dofmaps.

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ExtendableFEMBase.assemblytype — Method

assemblytype(
    _::FESpace{Tv, Ti, FEType<:AbstractFiniteElement, APT}
) -> Any

returns the assembly type parameter of the finite element space, i.e. on which entities of the grid the finite element is defined.

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ExtendableFEMBase.broken — Method

broken(FES::FESpace) -> Bool

returns true if the finite element space is broken, false if not

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ExtendableFEMBase.get_AT — Method

get_AT(_::FESpace{Tv, Ti, FEType, AT}) -> Any

returns the support of the finite element space

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ExtendableFEMBase.get_FEType — Method

get_FEType(_::FESpace{Tv, Ti, FEType, AT}) -> Any

returns the finite element type of the finite element space

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ExtendableFEMBase.ndofs — Method

ndofs(FES::FESpace) -> Int64

returns the total number of degrees of freedom of the finite element space.

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DofMaps

ExtendableFEMBase.BEdgeDofs — Type

abstract type BEdgeDofs <: DofMap

Key type describing the dofs for each boundary edge of the dofgrid

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ExtendableFEMBase.BEdgeDofsParent — Type

abstract type BEdgeDofsParent <: DofMap

Key type describing the dofs for each boundary edge of the parentgrid

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ExtendableFEMBase.BFaceDofs — Type

abstract type BFaceDofs <: DofMap

Key type describing the dofs for each boundary face of the dofgrid

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ExtendableFEMBase.BFaceDofsParent — Type

abstract type BFaceDofsParent <: DofMap

Key type describing the dofs for each boundary face of the parentgrid

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ExtendableFEMBase.CellDofs — Type

abstract type CellDofs <: DofMap

Key type describing the dofs for each cell of the dofgrid

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ExtendableFEMBase.CellDofsParent — Type

abstract type CellDofsParent <: DofMap

Key type describing the dofs for each cell of the parentgrid

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ExtendableFEMBase.DofMap — Type

abstract type DofMap <: ExtendableGrids.AbstractGridAdjacency

Dofmaps are stored as an ExtendableGrids.AbstractGridAdjacency in the finite element space and collect information with respect to different AssemblyTypes. They are generated automatically on demand and the dofmaps associated to each subtype can be accessed via FESpace[DofMap].

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ExtendableFEMBase.EdgeDofs — Type

abstract type EdgeDofs <: DofMap

Key type describing the dofs for each edge of the dofgrid

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ExtendableFEMBase.EdgeDofsParent — Type

abstract type EdgeDofsParent <: DofMap

Key type describing the dofs for each edge of the parentgrid

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ExtendableFEMBase.FaceDofs — Type

abstract type FaceDofs <: DofMap

Key type describing the dofs for each face of the dofgrid

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ExtendableFEMBase.FaceDofsParent — Type

abstract type FaceDofsParent <: DofMap

Key type describing the dofs for each face of the parentgrid

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The following DofMap subtypes are available and are used as keys to access the dofmap via FESpace[DofMap] (which is equivalent to FESpace.dofmaps[DofMap]).

DofMap	Explanation
CellDofs	degrees of freedom for on each cell
FaceDofs	degrees of freedom for each face
EdgeDofs	degrees of freedom for each edge (in 3D)
BFaceDofs	degrees of freedom for each boundary face
BEdgeDofs	degrees of freedom for each boundary edge (in 3D)