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annotate src/SbpOperators/volumeops/quadratures/inverse_diagonal_quadrature.jl @ 637:4a81812150f4 feature/volume_and_boundary_operators

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Change qudrature closure from tuple of reals to tuple of Stencils. Also remove parametrization of stencil width in D2 since this was illformed for the 2nd order case.
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Sun, 03 Jan 2021 18:15:14 +0100
parents a1dfaf305f41
children
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1 """
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2 inverse_diagonal_quadrature(g,quadrature_closure)
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3
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4 Constructs the inverse `Hi` of a `DiagonalQuadrature` on a grid of `Dim` dimensions as
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5 a `TensorMapping`. The one-dimensional operator is a `InverseDiagonalQuadrature`, while
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6 the multi-dimensional operator is the outer-product of the one-dimensional operators
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7 in each coordinate direction.
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8 """
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9 function inverse_diagonal_quadrature(g::EquidistantGrid{Dim}, quadrature_closure) where Dim
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10 Hi = InverseDiagonalQuadrature(restrict(g,1), quadrature_closure)
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11 for i ∈ 2:Dim
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12 Hi = Hi⊗InverseDiagonalQuadrature(restrict(g,i), quadrature_closure)
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13 end
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14 return Hi
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15 end
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16 export inverse_diagonal_quadrature
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19 """
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20 InverseDiagonalQuadrature{T,M} <: TensorMapping{T,1,1}
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21
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22 Implements the inverse of a one-dimensional `DiagonalQuadrature` as a `TensorMapping`
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23 The operator is defined by the reciprocal of the quadrature interval length `h_inv`, the
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24 reciprocal of the quadrature closure weights `closure` and the number of quadrature intervals `size`. The
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25 interior stencil has the weight 1.
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26 """
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27 struct InverseDiagonalQuadrature{T<:Real,M} <: TensorMapping{T,1,1}
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28 h_inv::T
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29 closure::NTuple{M,T}
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30 size::Tuple{Int}
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31 end
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32 export InverseDiagonalQuadrature
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34 """
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35 InverseDiagonalQuadrature(g, quadrature_closure)
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36
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37 Constructs the `InverseDiagonalQuadrature` on the `EquidistantGrid` `g` with
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38 closure given by the reciprocal of `quadrature_closure`.
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39 """
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40 function InverseDiagonalQuadrature(g::EquidistantGrid{1}, quadrature_closure)
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41 return InverseDiagonalQuadrature(inverse_spacing(g)[1], 1 ./ quadrature_closure, size(g))
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42 end
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43
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44 """
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45 domain_size(Hi::InverseDiagonalQuadrature)
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46
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47 The size of an object in the range of `Hi`
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48 """
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49 LazyTensors.range_size(Hi::InverseDiagonalQuadrature) = Hi.size
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50
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51 """
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52 domain_size(Hi::InverseDiagonalQuadrature)
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53
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54 The size of an object in the domain of `Hi`
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55 """
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56 LazyTensors.domain_size(Hi::InverseDiagonalQuadrature) = Hi.size
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58 """
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59 apply(Hi::InverseDiagonalQuadrature{T}, v::AbstractVector{T}, i) where T
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60 Implements the application `(Hi*v)[i]` an `Index{R}` where `R` is one of the regions
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61 `Lower`,`Interior`,`Upper`. If `i` is another type of index (e.g an `Int`) it will first
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62 be converted to an `Index{R}`.
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63 """
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64 function LazyTensors.apply(Hi::InverseDiagonalQuadrature{T}, v::AbstractVector{T}, i::Index{Lower}) where T
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65 return @inbounds Hi.h_inv*Hi.closure[Int(i)]*v[Int(i)]
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66 end
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67
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68 function LazyTensors.apply(Hi::InverseDiagonalQuadrature{T}, v::AbstractVector{T}, i::Index{Upper}) where T
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69 N = length(v);
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70 return @inbounds Hi.h_inv*Hi.closure[N-Int(i)+1]*v[Int(i)]
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71 end
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72
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73 function LazyTensors.apply(Hi::InverseDiagonalQuadrature{T}, v::AbstractVector{T}, i::Index{Interior}) where T
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74 return @inbounds Hi.h_inv*v[Int(i)]
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75 end
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76
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77 function LazyTensors.apply(Hi::InverseDiagonalQuadrature{T}, v::AbstractVector{T}, i) where T
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78 N = length(v);
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79 r = getregion(i, closure_size(Hi), N)
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80 return LazyTensors.apply(Hi, v, Index(i, r))
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81 end
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82
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83 LazyTensors.apply_transpose(Hi::InverseDiagonalQuadrature{T}, v::AbstractVector{T}, i) where T = LazyTensors.apply(Hi,v,i)
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85 """
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86 closure_size(Hi)
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87 Returns the size of the closure stencil of a InverseDiagonalQuadrature `Hi`.
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88 """
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89 closure_size(Hi::InverseDiagonalQuadrature{T,M}) where {T,M} = M