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annotate src/SbpOperators/volumeops/quadratures/quadrature.jl @ 696:0bec3c4e78c0 refactor/operator_naming

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Rename InverseQuadrature to inverse_inner_product. Make InverseDiagonalQuadrature a special case of inverse_inner_product
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Sun, 14 Feb 2021 13:48:54 +0100
parents fc755b29d418
children
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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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fc755b29d418 Rename quadrature to inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 689
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2 inner_product(grid::EquidistantGrid, closure_stencils, inner_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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3
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fc755b29d418 Rename quadrature to inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 689
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4 Creates the discrete inner product operator `H` as a `TensorMapping` on an equidistant
fc755b29d418 Rename quadrature to inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 689
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5 grid, defined as `(u,v) = u'Hv` for grid functions `u,v`.
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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
diff changeset
6
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fc755b29d418 Rename quadrature to inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 689
diff changeset
7 `inner_product(grid::EquidistantGrid, closure_stencils, inner_stencil)` creates
fc755b29d418 Rename quadrature to inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 689
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8 `H` on `grid` the using a set of stencils `closure_stencils` for the points in
fc755b29d418 Rename quadrature to inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 689
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9 the closure regions and the stencil and `inner_stencil` in the interior. If
fc755b29d418 Rename quadrature to inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 689
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10 `inner_stencil` is omitted a central 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
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
11
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fc755b29d418 Rename quadrature to inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 689
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12 On a 1-dimensional `grid`, `H` is a `VolumeOperator`. On a N-dimensional
fc755b29d418 Rename quadrature to inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 689
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13 `grid`, `H` is the outer product of the 1-dimensional inner product operators in
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0e20bfef5cee remove extra space
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 638
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14 each coordinate direction. Also see the documentation of
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728fd5a2455a Change order of arguments for quadrature, and make inner_stencil have a default argument
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 681
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15 `SbpOperators.volume_operator(...)` for more details. On a 0-dimensional `grid`,
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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>
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
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents:
diff changeset
17 """
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fc755b29d418 Rename quadrature to inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 689
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18 function inner_product(grid::EquidistantGrid, closure_stencils, inner_stencil = CenteredStencil(one(eltype(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.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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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2a95beb9ef1d Add methods for getting boundary quadratures of a grid. Align naming of quadrature operators.
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parents: 640
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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.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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:
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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24 end
21fba50cb5b0 Use LazyOuterProduct to construct multi-dimensional quadratures. This change allwed to:
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 362
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25 return H
21fba50cb5b0 Use LazyOuterProduct to construct multi-dimensional quadratures. This change allwed to:
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 362
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26 end
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fc755b29d418 Rename quadrature to inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 689
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27 export inner_product
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2a95beb9ef1d Add methods for getting boundary quadratures of a grid. Align naming of quadrature operators.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 640
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28
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fc755b29d418 Rename quadrature to inner_product
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 689
diff changeset
29 inner_product(grid::EquidistantGrid{0}, closure_stencils, inner_stencil) = IdentityMapping{eltype(grid)}()