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spclibs/matlab/test_relax2d.m
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test_relax2d.m
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%
% @file test_relax2d.m
%
% @brief
%
% @copyright
% Copyright (©) 2021 EPFL (Ecole Polytechnique Fédérale de Lausanne)
% SPC (Swiss Plasma Center)
%
% spclibs is free software: you can redistribute it and/or modify it under
% the terms of the GNU Lesser General Public License as published by the Free
% Software Foundation, either version 3 of the License, or (at your option)
% any later version.
%
% spclibs 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 Lesser General Public License
% along with this program. If not, see <https://www.gnu.org/licenses/>.
%
% @authors
% (in alphabetical order)
% @author Trach-Minh Tran <trach-minh.tran@epfl.ch>
%
file='test_relax2d.h5';
%
nx=h5readatt(file,'/','NX');
ny=h5readatt(file,'/','NY');
kx=h5readatt(file,'/','KX');
ky=h5readatt(file,'/','KY');
nidbas1=h5readatt(file,'/','NIDBAS1');
nidbas2=h5readatt(file,'/','NIDBAS2');
levels=h5readatt(file,'/','LEVELS');
relax=h5readatt(file,'/','RELAX');
title_str=sprintf('N=(%d,%d), NIDBAS=(%d,%d), KX=%d, KY=%d, relax=%s', ...
nx,ny,nidbas1,nidbas2,kx,ky,relax);
%
% Prolongation matrices at the coarsest grid
%
mglevel=sprintf('/mglevels/level.%.2d', levels);
dset=strcat(mglevel,'/matpx');
matpx=csr_mat(file,dset);
dset=strcat(mglevel,'/matpy');
matpy=csr_mat(file,dset);
%
% FE matrix at the finest grid
%
levels=1;
mglevel=sprintf('/mglevels/level.%.2d', levels);
dset=strcat(mglevel,'/mata');
[mata,diag]=csr_mat(file,dset);
x=h5read(file,strcat(mglevel,'/x'));
y=h5read(file,strcat(mglevel,'/y'));
f=h5read(file,strcat(mglevel,'/f'));
v=h5read(file,strcat(mglevel,'/v'));
f1d=h5read(file,strcat(mglevel,'/f1d'));
v1d=h5read(file,strcat(mglevel,'/v1d'));
figure
spy(mata)
%
% Solutions at te finest grid
%
sol_direct=h5read(file,'/solutions/direct');
sol_anal=h5read(file,'/solutions/anal');
figure
surf(x,y,sol_direct')
xlabel('X'); ylabel('Y');
%
% Relaxations
%
errdisc=h5read(file,'/relaxation/errdisc');
resid=h5read(file,'/relaxation/resid');
its=0:1:size(errdisc)-1;
figure
semilogy(its,errdisc,its,resid)
legend('Discretisation Error', 'Residual Norm')
xlabel('Iterations')
grid on
title(title_str)
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