Difference between revisions of "Fdlap.m"
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Returns a finite-difference representation of the Laplacian for an array with a user-specified finite difference stencil size. The resulting operator is a sparse matrix designed to act on the vectorisation of the array. The dimensions of the array are assumed to be ordered as [X Y Z]. | Returns a finite-difference representation of the Laplacian for an array with a user-specified finite difference stencil size. The resulting operator is a sparse matrix designed to act on the vectorisation of the array. The dimensions of the array are assumed to be ordered as [X Y Z]. | ||
Revision as of 18:27, 5 June 2026
Returns a finite-difference representation of the Laplacian for an array with a user-specified finite difference stencil size. The resulting operator is a sparse matrix designed to act on the vectorisation of the array. The dimensions of the array are assumed to be ordered as [X Y Z].
Syntax
L=fdlap(npoints,extents,nstenc)
Arguments
dims - a one-element, two-element, or three-element
vector specifying the number of discretisation
points in each dimension of the 1D, 2D, or 3D
array of data that the operator will be acting
on, ordered as [X Y Z].
extents - a one-element, two-element, or three-element
vector specifying the size of each dimension
of the array, ordered as [X Y Z].
nstenc - number of finite-difference stencil points for
the finite-difference approximation; periodic
boundary conditions are used
Outputs
L - a sparse matrix designed to act on the vectori-
zation of the 3D array. The dimensions of that
array are assumed to be ordered as [X Y Z].
See also
fdvec.m, fdmat.m, fdhess.m, fdkup.m, fdweights.m, fftdiff.m, fourdif.m, fourlap.m
Version 2.2, authors: Ilya Kuprov
