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annotate diffOp.jl @ 65:7054230b639c cell_based_test

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Make dimension a type parameter in Laplace
author Jonatan Werpers <jonatan@werpers.com>
date Thu, 17 Jan 2019 15:22:10 +0100
parents 178a203f3e6d
children 543b7a5ab831
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1 abstract type DiffOp end
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3 function apply(D::DiffOp, v::AbstractVector, i::Int)
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4 error("not implemented")
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5 end
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6
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7 function innerProduct(D::DiffOp, u::AbstractVector, v::AbstractVector)::Real
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8 error("not implemented")
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9 end
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10
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11 function matrixRepresentation(D::DiffOp)
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12 error("not implemented")
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13 end
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15 function boundaryCondition(D::DiffOp,b::Grid.BoundaryId,type)::(Closure, Penalty)
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16 error("not implemented")
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17 end
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19 function interface(Du::DiffOp, Dv::DiffOp, b::Grid.BoundaryId; type)
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20 error("not implemented")
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21 end
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23 abstract type Closure end
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24
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25 function apply(c::Closure, v::AbstractVector, i::Int)
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26 error("not implemented")
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27 end
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28
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29 abstract type Penalty end
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30
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31 function apply(c::Penalty, g, i::Int)
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32 error("not implemented")
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33 end
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35 # DiffOp must have a grid!!!
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36 function apply!(D::DiffOp, u::AbstractVector, v::AbstractVector)
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37 for i ∈ 1:Grid.numberOfPoints(D.grid)
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38 u[i] = apply(D, v, i)
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39 end
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40
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41 return nothing
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42 end
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43
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44 function apply(D::DiffOp, v::AbstractVector)::AbstractVector
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45 u = zeros(eltype(v), size(v))
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46 apply!(D,v,u)
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47 return u
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48 end
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50 struct Laplace{Dim} <: DiffOp
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51 grid::Grid.EquidistantGrid{Dim}
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52 a::Real
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53 op::D2{Float64}
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54 end
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56 # u = L*v
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57 function apply(L::Laplace{1}, v::AbstractVector, i::Int)
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58 h = Grid.spacings(L.grid)[1]
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59 uᵢ = L.a * apply(L.op, h, v, i)
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60 return uᵢ
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61 end
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63 # u = L*v
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64 function apply(L::Laplace{2}, v::AbstractVector, i::Int)
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65 h = Grid.spacings(L.grid)
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66
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67 li = LinearIndices(L.grid.numberOfPointsPerDim)
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68 ci = CartesianIndices(L.grid.numberOfPointsPerDim)
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69 I = ci[i]
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70
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71 # 2nd x-derivative
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72 uᵢ = apply(L.op, h[1], view(v, li[:,I[2]]), I[1])
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73 # 2nd y-derivative
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74 uᵢ += apply(L.op, h[2], view(v, li[I[1],:]), I[2])
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76 return uᵢ
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77 end