--- /dev/null
+function mesh=Umeshproperties(mesh)
+
+%
+% mesh=Umeshproperties(mesh)
+% precomputes some useful mesh properties
+%
+
+
+
+% This file is part of
+%
+% SECS2D - A 2-D Drift--Diffusion Semiconductor Device Simulator
+% -------------------------------------------------------------------
+% Copyright (C) 2004-2006 Carlo de Falco
+%
+%
+%
+% SECS2D 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.
+%
+% SECS2D 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 SECS2D; If not, see <http://www.gnu.org/licenses/>.
+
+
+
+
+weight = [1/3 1/3 1/3];
+areakk = 1/2;
+Nelements = Ucolumns(mesh.t);
+
+jac([1,2],:) = [mesh.p(1,mesh.t(2,:))-mesh.p(1,mesh.t(1,:));
+ mesh.p(1,mesh.t(3,:))-mesh.p(1,mesh.t(1,:))];
+jac([3,4],:) = [mesh.p(2,mesh.t(2,:))-mesh.p(2,mesh.t(1,:));
+ mesh.p(2,mesh.t(3,:))-mesh.p(2,mesh.t(1,:))];
+jacdet = jac(1,:).*jac(4,:)-jac(2,:).*jac(3,:);
+
+degen=find(jacdet <= 0);
+if ~isempty(degen)
+ fprintf(1,'invalid mesh element: %d fixing...\n',degen);
+ mesh.t(1:3,degen) = mesh.t([2,1,3],degen);
+ jac([1,2],degen) = [mesh.p(1,mesh.t(2,degen))-mesh.p(1,mesh.t(1,degen));
+ mesh.p(1,mesh.t(3,degen))-mesh.p(1,mesh.t(1,degen))];
+ jac([3,4],degen) = [mesh.p(2,mesh.t(2,degen))-mesh.p(2,mesh.t(1,degen));
+ mesh.p(2,mesh.t(3,degen))-mesh.p(2,mesh.t(1,degen))];
+ jacdet(degen) = jac(1,degen).*jac(4,degen)-jac(2,degen).*jac(3,degen);
+end
+
+for inode = 1:3
+ mesh.wjacdet(inode,:) = areakk .* jacdet .* weight(inode);
+end
+
+mesh.shp = eye(3);
+
+x0 = mesh.p(1,mesh.t(1,:));
+y0 = mesh.p(2,mesh.t(1,:));
+x1 = mesh.p(1,mesh.t(2,:));
+y1 = mesh.p(2,mesh.t(2,:));
+x2 = mesh.p(1,mesh.t(3,:));
+y2 = mesh.p(2,mesh.t(3,:));
+
+denom = (-(x1.*y0) + x2.*y0 + x0.*y1 - x2.*y1 - x0.*y2 + x1.*y2);
+mesh.shg(1,1,:) = (y1 - y2)./denom;
+mesh.shg(2,1,:) = -(x1 - x2)./denom;
+mesh.shg(1,2,:) = -(y0 - y2)./denom;
+mesh.shg(2,2,:) = (x0 - x2)./denom;
+mesh.shg(1,3,:) = (y0 - y1)./denom;
+mesh.shg(2,3,:) = -(x0 - x1)./denom;
+
+