/usr/share/octave/packages/bim-1.1.5/bim1a_laplacian.m is in octave-bim 1.1.5-4.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 | ## Copyright (C) 2006,2007,2008,2009,2010 Carlo de Falco, Massimiliano Culpo
##
## This file is part of:
## BIM - Diffusion Advection Reaction PDE Solver
##
## BIM is free software; you can redistribute it and/or modify
## it under the terms of the GNU General Public License as published by
## the Free Software Foundation; either version 2 of the License, or
## (at your option) any later version.
##
## BIM is distributed in the hope that it will be useful,
## but WITHOUT ANY WARRANTY; without even the implied warranty of
## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
## GNU General Public License for more details.
##
## You should have received a copy of the GNU General Public License
## along with BIM; If not, see <http://www.gnu.org/licenses/>.
##
## author: Carlo de Falco <cdf _AT_ users.sourceforge.net>
## author: Massimiliano Culpo <culpo _AT_ users.sourceforge.net>
## -*- texinfo -*-
##
## @deftypefn {Function File} @
## {@var{A}} = bim1a_laplacian (@var{mesh},@var{epsilon},@var{kappa})
##
## Build the standard finite element stiffness matrix for a diffusion
## problem.
##
## The equation taken into account is:
##
## - (@var{epsilon} * @var{kappa} ( u' ))' = f
##
## where @var{epsilon} is an element-wise constant scalar function,
## while @var{kappa} is a piecewise linear conforming scalar function.
##
## @seealso{bim1a_rhs, bim1a_reaction, bim1a_advection_diffusion,
## bim2a_laplacian, bim3a_laplacian}
## @end deftypefn
function [A] = bim1a_laplacian(mesh,epsilon,kappa)
## Check input
if nargin != 3
error("bim1a_laplacian: wrong number of input parameters.");
elseif !isvector(mesh)
error("bim1a_laplacian: first argument is not a valid vector.");
endif
## Input-type check inside bim1a_advection_diffusion
nnodes = numel (mesh);
nelem = nnodes - 1;
A = bim1a_advection_diffusion (mesh, epsilon, kappa, ones(nnodes,1), 0);
endfunction
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