view convergencePlot.m @ 1198:2924b3a9b921 feature/d2_compatible

Add OpSet for fully compatible D2Variable, created from regular D2Variable by replacing d1 by first row of D1. Formal reduction by one order of accuracy at the boundary point.
author Martin Almquist <malmquist@stanford.edu>
date Fri, 16 Aug 2019 14:30:28 -0700
parents 38446922c32a
children
line wrap: on
line source

function hand = convergencePlot(orders, h, e)
    N = length(orders);

    fh = figure();
    ah = axes();
    ah.XScale = 'log';
    ah.YScale = 'log';
    hold on
    ph = {};
    phc = {};
    legends = {};
    for i = 1:N
        ph{i} = loglog(h{i}, e{i});
        phc{i} = plotConvergenceFit(orders{i}, h{i}, e{i});

        ph{i}.LineStyle = 'none';
        ph{i}.Marker = Color.solidMarkers{i};
        ph{i}.MarkerSize = 12;
        ph{i}.Color = Color.colors{i};
        ph{i}.MarkerFaceColor = Color.colors{i};

        legends{i} = sprintf('$o = %d$', orders{i});
    end
    hold off

    lh = legend([ph{:}], legends);
    lh.Interpreter = 'latex';
    lh.Location = 'SouthEast';

    for i = 1:N
        uistack(phc{i}, 'bottom');
    end

    xlabel('$h$', 'interpreter', 'latex')
    ylabel('Error', 'interpreter', 'latex')

    % xlim([0.7e-2, 1e-1])
    % ylim([3e-5, 4])

    grid on

    ah = gca();
    ah.TickLabelInterpreter = 'latex';
    setFontSize(fh);

    % if savePngs
    %     savepng(fh, 'fig/conv/conv',600)
    % end

    hand = struct();
    hand.fig = fh;
    hand.data = ph;
    hand.fits = phc;
    hand.legend = lh;
end