Mercurial > repos > public > sbplib_julia
view src/SbpOperators/volumeops/laplace/laplace.jl @ 764:d34b515b0ae7 operator_storage_array_of_table
Add functions for reading stencil sets
author | Jonatan Werpers <jonatan@werpers.com> |
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date | Sat, 06 Feb 2021 20:45:34 +0100 |
parents | d6edde60909b |
children | f3a0d1f7d842 1accc3e051d0 |
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""" Laplace(grid::EquidistantGrid{Dim}, inner_stencil, closure_stencils) Creates the Laplace operator operator `Δ` as a `TensorMapping` `Δ` approximates the Laplace operator ∑d²/xᵢ² , i = 1,...,`Dim` on `grid`, using the stencil `inner_stencil` in the interior and a set of stencils `closure_stencils` for the points in the closure regions. On a one-dimensional `grid`, `Δ` is a `SecondDerivative`. On a multi-dimensional `grid`, `Δ` is the sum of multi-dimensional `SecondDerivative`s where the sum is carried out lazily. """ function Laplace(grid::EquidistantGrid{Dim}, inner_stencil, closure_stencils) where Dim Δ = SecondDerivative(grid, inner_stencil, closure_stencils, 1) for d = 2:Dim Δ += SecondDerivative(grid, inner_stencil, closure_stencils, d) end return Δ end export Laplace