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author | Jonatan Werpers <jonatan@werpers.com> |
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date | Sat, 20 Feb 2021 20:45:40 +0100 |
parents | 1accc3e051d0 |
children | 3cd582257072 b4acd25943f4 |
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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 equivalent to `second_derivative`. On a multi-dimensional `grid`, `Δ` is the sum of multi-dimensional `second_derivative`s where the sum is carried out lazily. """ function laplace(grid::EquidistantGrid{Dim}, inner_stencil, closure_stencils) where Dim Δ = second_derivative(grid, inner_stencil, closure_stencils, 1) for d = 2:Dim Δ += second_derivative(grid, inner_stencil, closure_stencils, d) end return Δ end export laplace