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annotate src/SbpOperators/volumeops/laplace/laplace.jl @ 725:e5b51c82f83b feature/static_dict

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Docstring for pair type functions
author Jonatan Werpers <jonatan@werpers.com>
date Wed, 17 Mar 2021 20:16:20 +0100
parents 1accc3e051d0
children 3cd582257072 b4acd25943f4
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a85db383484f Update documentation and remove some out-commented lines
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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1 """
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2 laplace(grid::EquidistantGrid{Dim}, inner_stencil, closure_stencils)
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3
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d6edde60909b Fix typo in documentation and remove obsolete out-commented code.
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4 Creates the Laplace operator operator `Δ` as a `TensorMapping`
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 618
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5
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6 `Δ` approximates the Laplace operator ∑d²/xᵢ² , i = 1,...,`Dim` on `grid`, using
a85db383484f Update documentation and remove some out-commented lines
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 618
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7 the stencil `inner_stencil` in the interior and a set of stencils `closure_stencils`
a85db383484f Update documentation and remove some out-commented lines
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 618
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8 for the points in the closure regions.
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parents: 618
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9
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parents: 648
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10 On a one-dimensional `grid`, `Δ` is equivalent to `second_derivative`. On a
1accc3e051d0 Start changing the name of functions creating operators that are not types to lower case. E.g SecondDerivative->second_derivative
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 648
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11 multi-dimensional `grid`, `Δ` is the sum of multi-dimensional `second_derivative`s
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parents: 648
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12 where the sum is carried out lazily.
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parents: 618
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13 """
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parents: 648
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14 function laplace(grid::EquidistantGrid{Dim}, inner_stencil, closure_stencils) where Dim
1accc3e051d0 Start changing the name of functions creating operators that are not types to lower case. E.g SecondDerivative->second_derivative
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parents: 648
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15 Δ = second_derivative(grid, inner_stencil, closure_stencils, 1)
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16 for d = 2:Dim
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17 Δ += second_derivative(grid, inner_stencil, closure_stencils, d)
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18 end
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19 return Δ
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20 end
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21 export laplace