Mercurial > repos > public > sbplib_julia

annotate DiffOps/src/laplace.jl @ 232:a20bb4fac23d boundary_conditions

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
Improve tests for LazyTensors
author Jonatan Werpers <jonatan@werpers.com>
date Wed, 26 Jun 2019 17:41:44 +0200
parents 5acef2d5db2e
children a5fdc00d5070
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
228
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
1 struct NormalDerivative{N,M,K}
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
2 op::D2{Float64,N,M,K}
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
3 grid::EquidistantGrid
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
4 bId::CartesianBoundary
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
5 end
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
6
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
7 function apply_transpose(d::NormalDerivative, v::AbstractArray, I::Integer)
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
8 u = selectdim(v,3-dim(d.bId),I)
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
9 return apply_d(d.op, d.grid.inverse_spacing[dim(d.bId)], u, region(d.bId))
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
10 end
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
11
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
12 # Not correct abstraction level
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
13 # TODO: Not type stable D:<
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
14 function apply(d::NormalDerivative, v::AbstractArray, I::Tuple{Integer,Integer})
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
15 i = I[dim(d.bId)]
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
16 j = I[3-dim(d.bId)]
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
17 N_i = d.grid.size[dim(d.bId)]
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
18
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
19 r = getregion(i, closureSize(d.op), N_i)
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
20
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
21 if r != region(d.bId)
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
22 return 0
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
23 end
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
24
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
25 if r == Lower
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
26 # Note, closures are indexed by offset. Fix this D:<
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
27 return d.grid.inverse_spacing[dim(d.bId)]*d.op.dClosure[i-1]*v[j]
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
28 elseif r == Upper
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
29 return d.grid.inverse_spacing[dim(d.bId)]*d.op.dClosure[N_i-j]*v[j]
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
30 end
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
31 end
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
32
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
33 struct BoundaryValue{N,M,K}
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
34 op::D2{Float64,N,M,K}
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
35 grid::EquidistantGrid
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
36 bId::CartesianBoundary
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
37 end
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
38
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
39 function apply(e::BoundaryValue, v::AbstractArray, I::Tuple{Integer,Integer})
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
40 i = I[dim(e.bId)]
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
41 j = I[3-dim(e.bId)]
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
42 N_i = e.grid.size[dim(e.bId)]
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
43
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
44 r = getregion(i, closureSize(e.op), N_i)
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
45
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
46 if r != region(e.bId)
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
47 return 0
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
48 end
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
49
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
50 if r == Lower
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
51 # Note, closures are indexed by offset. Fix this D:<
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
52 return e.op.eClosure[i-1]*v[j]
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
53 elseif r == Upper
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
54 return e.op.eClosure[N_i-j]*v[j]
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
55 end
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
56 end
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
57
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
58 function apply_transpose(e::BoundaryValue, v::AbstractArray, I::Integer)
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
59 u = selectdim(v,3-dim(e.bId),I)
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
60 return apply_e(e.op, u, region(e.bId))
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
61 end
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
62
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
63 struct Laplace{Dim,T<:Real,N,M,K} <: DiffOpCartesian{Dim}
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
64 grid::EquidistantGrid{Dim,T}
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
65 a::T
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
66 op::D2{Float64,N,M,K}
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
67 # e::BoundaryValue
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
68 # d::NormalDerivative
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
69 end
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
70
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
71 function apply(L::Laplace{Dim}, v::AbstractArray{T,Dim} where T, I::CartesianIndex{Dim}) where Dim
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
72 error("not implemented")
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
73 end
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
74
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
75 # u = L*v
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
76 function apply(L::Laplace{1}, v::AbstractVector, i::Int)
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
77 uᵢ = L.a * SbpOperators.apply(L.op, L.grid.spacing[1], v, i)
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
78 return uᵢ
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
79 end
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
80
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
81 @inline function apply(L::Laplace{2}, v::AbstractArray{T,2} where T, I::Tuple{Index{R1}, Index{R2}}) where {R1, R2}
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
82 # 2nd x-derivative
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
83 @inbounds vx = view(v, :, Int(I[2]))
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
84 @inbounds uᵢ = L.a*SbpOperators.apply(L.op, L.grid.inverse_spacing[1], vx , I[1])
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
85 # 2nd y-derivative
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
86 @inbounds vy = view(v, Int(I[1]), :)
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
87 @inbounds uᵢ += L.a*SbpOperators.apply(L.op, L.grid.inverse_spacing[2], vy, I[2])
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
88 # NOTE: the package qualifier 'SbpOperators' can problably be removed once all "applying" objects use LazyTensors
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
89 return uᵢ
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
90 end
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
91
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
92 # Slow but maybe convenient?
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
93 function apply(L::Laplace{2}, v::AbstractArray{T,2} where T, i::CartesianIndex{2})
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
94 I = Index{Unknown}.(Tuple(i))
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
95 apply(L, v, I)
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
96 end
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
97
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
98
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
99 struct Neumann{Bid<:BoundaryIdentifier} <: BoundaryCondition end
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
100
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
101 function sat(L::Laplace{2,T}, bc::Neumann{Bid}, v::AbstractArray{T,2}, g::AbstractVector{T}, I::CartesianIndex{2}) where {T,Bid}
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
102 e = BoundaryValue(L.op, L.grid, Bid())
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
103 d = NormalDerivative(L.op, L.grid, Bid())
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
104 Hᵧ = BoundaryQuadrature(L.op, L.grid, Bid())
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
105 # TODO: Implement BoundaryQuadrature method
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
106
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
107 return -L.Hi*e*Hᵧ*(d'*v - g)
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
108 # Need to handle d'*v - g so that it is an AbstractArray that TensorMappings can act on
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
109 end
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
110
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
111 struct Dirichlet{Bid<:BoundaryIdentifier} <: BoundaryCondition
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
112 tau::Float64
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
113 end
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
114
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
115 function sat(L::Laplace{2,T}, bc::Dirichlet{Bid}, v::AbstractArray{T,2}, g::AbstractVector{T}, i::CartesianIndex{2}) where {T,Bid}
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
116 e = BoundaryValue(L.op, L.grid, Bid())
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
117 d = NormalDerivative(L.op, L.grid, Bid())
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
118 Hᵧ = BoundaryQuadrature(L.op, L.grid, Bid())
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
119 # TODO: Implement BoundaryQuadrature method
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
120
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
121 return -L.Hi*(tau/h*e + d)*Hᵧ*(e'*v - g)
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
122 # Need to handle scalar multiplication and addition of TensorMapping
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
123 end
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
124
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
125 # function apply(s::MyWaveEq{D}, v::AbstractArray{T,D}, i::CartesianIndex{D}) where D
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
126 # return apply(s.L, v, i) +
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
127 # sat(s.L, Dirichlet{CartesianBoundary{1,Lower}}(s.tau), v, s.g_w, i) +
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
128 # sat(s.L, Dirichlet{CartesianBoundary{1,Upper}}(s.tau), v, s.g_e, i) +
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
129 # sat(s.L, Dirichlet{CartesianBoundary{2,Lower}}(s.tau), v, s.g_s, i) +
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
130 # sat(s.L, Dirichlet{CartesianBoundary{2,Upper}}(s.tau), v, s.g_n, i)
5acef2d5db2e Move Laplace operator and related structs/functions to separate file.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
131 # end