Boundary Value Problem Interface for CalculustJL

abstract type AbstractBoundaryCondition{T}

abstract type AbstractBoundaryValueAlgorithm <: SciMLBase.AbstractDEAlgorithm

abstract type AbstractBoundaryValueCache <: SciMLBase.DECache

abstract type AbstractBoundaryValueProblem <: SciMLBase.AbstractDEProblem

struct BoundaryCondition{T, Tdict, Tamasks, Tmask, Tamask, Tspace<:(CalculustCore.Spaces.AbstractSpace{T}), Tdiscr<:CalculustCore.Spaces.AbstractDiscretization} <: BoundaryValueProblems.AbstractBoundaryCondition{T}

• bc_dict: Dict(Domainbdrytag => BCType)

• antimasks: Vector(boundary_antimasks); antimask = id - mask

• mask_dir: Diagonal Mask operator hiding Dirichlet boundaries

• amask_dir: antimask for dirichlet BC

• space: Function space

• discr: Discretization

BoundaryCondition(bc_dict, V, discr)

struct DirichletBC{F}

u(x) = f(x), x ∈ ∂Ω

Defaults to homogeneous.

(n⋅∇)u(x) = f(x), x ∈ ∂Ω

Defaults to homogeneous.

Periodic Boundary Condition

f1(x)u(x) + f2(x)(n⋅∇)u(x) = f3(x), x ∈ ∂Ω