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annotate src/SbpOperators/volumeops/quadratures/quadrature.jl @ 681:43cf58c69f91 feature/boundary_quads

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Remove methods boundary_quadrature, and instead specialize quadrature on a zero-dimensional grid to return the IdentityMapping
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Mon, 08 Feb 2021 18:44:44 +0100
parents 1ce3a104afc8
children 728fd5a2455a
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
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9cc5d1498b2d Refactor 1D diagonal inner product in quadrature.jl to separate file. Write tests for quadratures. Clean up laplace and secondderivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
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1 """
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 640
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2 quadrature(grid::EquidistantGrid, inner_stencil, closure_stencils)
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parents: 640
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3 quadrature(grid::EquidistantGrid, closure_stencils)
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08b2c7a2d063 Implement the Quadrature operator as a VolumeOperator. Make DiagonalQuadrature a special case of the general Quadrature operator. Update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 636
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4
08b2c7a2d063 Implement the Quadrature operator as a VolumeOperator. Make DiagonalQuadrature a special case of the general Quadrature operator. Update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 636
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5 Creates the quadrature operator `H` as a `TensorMapping`
08b2c7a2d063 Implement the Quadrature operator as a VolumeOperator. Make DiagonalQuadrature a special case of the general Quadrature operator. Update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 636
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6
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parents: 640
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7 `H` approximiates the integral operator on `grid` the using the stencil
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08b2c7a2d063 Implement the Quadrature operator as a VolumeOperator. Make DiagonalQuadrature a special case of the general Quadrature operator. Update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 636
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8 `inner_stencil` in the interior and a set of stencils `closure_stencils`
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parents: 640
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9 for the points in the closure regions. If `inner_stencil` is omitted a central
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 640
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10 interior stencil with weight 1 is used.
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9cc5d1498b2d Refactor 1D diagonal inner product in quadrature.jl to separate file. Write tests for quadratures. Clean up laplace and secondderivative
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parents:
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11
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08b2c7a2d063 Implement the Quadrature operator as a VolumeOperator. Make DiagonalQuadrature a special case of the general Quadrature operator. Update tests.
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parents: 636
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12 On a one-dimensional `grid`, `H` is a `VolumeOperator`. On a multi-dimensional
08b2c7a2d063 Implement the Quadrature operator as a VolumeOperator. Make DiagonalQuadrature a special case of the general Quadrature operator. Update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 636
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13 `grid`, `H` is the outer product of the 1-dimensional quadrature operators in
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0e20bfef5cee remove extra space
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14 each coordinate direction. Also see the documentation of
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43cf58c69f91 Remove methods boundary_quadrature, and instead specialize quadrature on a zero-dimensional grid to return the IdentityMapping
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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15 `SbpOperators.volume_operator(...)` for more details. On 0-dimensional `grid`,
43cf58c69f91 Remove methods boundary_quadrature, and instead specialize quadrature on a zero-dimensional grid to return the IdentityMapping
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parents: 675
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16 `H` is a 0-dimensional `IdentityMapping`.
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9cc5d1498b2d Refactor 1D diagonal inner product in quadrature.jl to separate file. Write tests for quadratures. Clean up laplace and secondderivative
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17 """
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18 function quadrature(grid::EquidistantGrid, inner_stencil, closure_stencils)
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08b2c7a2d063 Implement the Quadrature operator as a VolumeOperator. Make DiagonalQuadrature a special case of the general Quadrature operator. Update tests.
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parents: 636
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19 h = spacing(grid)
08b2c7a2d063 Implement the Quadrature operator as a VolumeOperator. Make DiagonalQuadrature a special case of the general Quadrature operator. Update tests.
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parents: 636
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20 H = SbpOperators.volume_operator(grid, scale(inner_stencil,h[1]), scale.(closure_stencils,h[1]), even, 1)
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21 for i ∈ 2:dimension(grid)
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08b2c7a2d063 Implement the Quadrature operator as a VolumeOperator. Make DiagonalQuadrature a special case of the general Quadrature operator. Update tests.
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parents: 636
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22 Hᵢ = SbpOperators.volume_operator(grid, scale(inner_stencil,h[i]), scale.(closure_stencils,h[i]), even, i)
08b2c7a2d063 Implement the Quadrature operator as a VolumeOperator. Make DiagonalQuadrature a special case of the general Quadrature operator. Update tests.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 636
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23 H = H∘Hᵢ
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21fba50cb5b0 Use LazyOuterProduct to construct multi-dimensional quadratures. This change allwed to:
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24 end
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25 return H
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26 end
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27 export quadrature
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28
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43cf58c69f91 Remove methods boundary_quadrature, and instead specialize quadrature on a zero-dimensional grid to return the IdentityMapping
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29 quadrature(grid::EquidistantGrid{0,T}, inner_stencil, closure_stencils) where T = IdentityMapping{T}()
43cf58c69f91 Remove methods boundary_quadrature, and instead specialize quadrature on a zero-dimensional grid to return the IdentityMapping
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30 #TODO: Consider changing the interface of volume_operator to volume_operator(grid,closure_stencils,inner_stencil)
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31 # in order to allow for having quadrature(grid, closure_stencils, inner_stencil = CenteredStencil(one(T)))
43cf58c69f91 Remove methods boundary_quadrature, and instead specialize quadrature on a zero-dimensional grid to return the IdentityMapping
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parents: 675
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32 # Then the below function can be removed.
43cf58c69f91 Remove methods boundary_quadrature, and instead specialize quadrature on a zero-dimensional grid to return the IdentityMapping
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parents: 675
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33 function quadrature(grid::EquidistantGrid{Dim,T}, closure_stencils) where {Dim,T}
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34 inner_stencil = CenteredStencil(one(T))
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35 return quadrature(grid, inner_stencil, closure_stencils)
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36 end