Mercurial > repos > public > sbplib_julia
diff src/SbpOperators/volumeops/quadratures/quadrature.jl @ 638:08b2c7a2d063 feature/volume_and_boundary_operators
Implement the Quadrature operator as a VolumeOperator. Make DiagonalQuadrature a special case of the general Quadrature operator. Update tests.
author | Vidar Stiernström <vidar.stiernstrom@it.uu.se> |
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date | Mon, 04 Jan 2021 09:32:11 +0100 |
parents | src/SbpOperators/volumeops/quadratures/diagonal_quadrature.jl@a1dfaf305f41 |
children | 0e20bfef5cee |
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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/src/SbpOperators/volumeops/quadratures/quadrature.jl Mon Jan 04 09:32:11 2021 +0100 @@ -0,0 +1,36 @@ +""" + Quadrature(grid::EquidistantGrid, inner_stencil, closure_stencils) + +Creates the quadrature operator `H` as a `TensorMapping` + +The quadrature approximates the integral operator on the grid using +`inner_stencil` in the interior and a set of stencils `closure_stencils` +for the points in the closure regions. + +On a one-dimensional `grid`, `H` is a `VolumeOperator`. On a multi-dimensional +`grid`, `H` is the outer product of the 1-dimensional quadrature operators in +each coordinate direction. Also see the documentation of +`SbpOperators.volume_operator(...)` for more details. +""" +function Quadrature(grid::EquidistantGrid{Dim}, inner_stencil, closure_stencils) where Dim + h = spacing(grid) + H = SbpOperators.volume_operator(grid, scale(inner_stencil,h[1]), scale.(closure_stencils,h[1]), even, 1) + for i ∈ 2:Dim + Hᵢ = SbpOperators.volume_operator(grid, scale(inner_stencil,h[i]), scale.(closure_stencils,h[i]), even, i) + H = H∘Hᵢ + end + return H +end +export Quadrature + +""" + DiagonalQuadrature(grid::EquidistantGrid, closure_stencils) + +Creates the quadrature operator with the inner stencil 1/h and 1-element sized +closure stencils (i.e the operator is diagonal) +""" +function DiagonalQuadrature(grid::EquidistantGrid, closure_stencils::NTuple{M,Stencil{T,1}}) where {M,T} + inner_stencil = Stencil(Tuple{T}(1),center=1) + return Quadrature(grid, inner_stencil, closure_stencils) +end +export DiagonalQuadrature