view +sbp/HigherCompatibleVariable.m @ 87:0a29a60e0b21

In Curve: Rearranged for speed. arc_length_fun is now a property of Curve. If it is not supplied, it is computed via the derivative and spline fitting. Switching to the arc length parameterization is much faster now. The new stuff can be tested with testArcLength.m (which should be deleted after that).
author Martin Almquist <martin.almquist@it.uu.se>
date Sun, 29 Nov 2015 22:23:09 +0100
parents 32b39dc44474
children
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classdef HigherCompatibleVariable < sbp.OpSet
    properties
        norms % Struct containing norm matrices such as H,Q, M
        boundary  % Struct contanging vectors for boundry point approximations
        derivatives % Struct containging differentiation operators
        borrowing % Struct with borrowing limits for different norm matrices
        m % Number of grid points.
        h % Step size
    end



    methods
        function obj = HigherCompatibleVariable(m,h,order)

            if order == 2
                [H, HI, D1, D2, D3, D4, e_1, e_m, M4, Q, S2_1, S2_m, S3_1, S3_m, S_1, S_m] = sbp.higher2_compatible_halfvariable(m,h);
                obj.borrowing.N.S2 = 1.2500;
                obj.borrowing.N.S3 = 0.4000;
            elseif order == 4
                [H, HI, D2, D4, e_1, e_m, M4, S2_1, S2_m, S3_1, S3_m, S_1, S_m] = sbp.higher4_compatible_halfvariable(m,h);
                obj.borrowing.N.S2 = 0.5055;
                obj.borrowing.N.S3 = 0.9290;
            elseif order == 6
                [H, HI, D2, D4, e_1, e_m, M4, S2_1, S2_m, S3_1, S3_m, S_1, S_m] = sbp.higher6_compatible_halfvariable(m,h);
                obj.borrowing.N.S2 = 0.3259;
                obj.borrowing.N.S3 = 0.1580;
            else
                error('Invalid operator order.');
            end

            obj.h = h;
            obj.m = m;

            obj.norms.H = H;
            obj.norms.HI = HI;
            obj.norms.N = M4;

            obj.boundary.e_1 = e_1;
            obj.boundary.S_1 = S_1;
            obj.boundary.S2_1 = S2_1;
            obj.boundary.S3_1 = S3_1;

            obj.boundary.e_m = e_m;
            obj.boundary.S_m = S_m;
            obj.boundary.S2_m = S2_m;
            obj.boundary.S3_m = S3_m;

            obj.derivatives.D2 = D2;
            obj.derivatives.D4 = D4;

        end
    end

    methods (Static)
        function lambda = smallestGrid(obj)
            error('Not implmented')
        end
    end



end