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annotate +sbp/D2Variable.m @ 264:8a625c5a3633 operator_remake

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Changed input parameter L (domain length) to lim (cell with domain boundaries)
author Martin Almquist <martin.almquist@it.uu.se>
date Fri, 09 Sep 2016 10:39:12 +0200
parents 21a180acbd49
children 4b9310edcdf8
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07fa0d6a05bb Renamned class files and added nonequidistant operators.
Martin Almquist <martin.almquist@it.uu.se>
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1 classdef D2Variable < sbp.OpSet
07fa0d6a05bb Renamned class files and added nonequidistant operators.
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2 properties
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21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
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3 D1 % SBP operator approximating first derivative
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
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4 H % Norm matrix
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Martin Almquist <martin.almquist@it.uu.se>
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5 HI % H^-1
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6 Q % Skew-symmetric matrix
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7 e_1 % Left boundary operator
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8 e_m % Right boundary operator
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
Martin Almquist <martin.almquist@it.uu.se>
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9 D2 % SBP operator for second derivative
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
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10 M % Norm matrix, second derivative
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11 S_1 % Left boundary first derivative
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12 S_m % Right boundary first derivative
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13 m % Number of grid points.
07fa0d6a05bb Renamned class files and added nonequidistant operators.
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14 h % Step size
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15 x % grid
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
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16 borrowing % Struct with borrowing limits for different norm matrices
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17 end
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19 methods
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8a625c5a3633 Changed input parameter L (domain length) to lim (cell with domain boundaries)
Martin Almquist <martin.almquist@it.uu.se>
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20 function obj = D2Variable(m,lim,order)
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21
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8a625c5a3633 Changed input parameter L (domain length) to lim (cell with domain boundaries)
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22 x_l = lim{1};
8a625c5a3633 Changed input parameter L (domain length) to lim (cell with domain boundaries)
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23 x_r = lim{2};
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24 L = x_r-x_l;
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25 obj.h = L/(m-1);
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26 obj.x = linspace(x_l,x_r,m)';
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27
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28 switch order
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29 case 4
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30 [obj.H, obj.HI, obj.D1, obj.D2, obj.e_1,...
21a180acbd49 Renamed standard class to D2Standard etc, Rewrote class properties.
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31 obj.e_m, obj.S_1, obj.S_m] = ...
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32 sbp.implementations.d2_variable_4(m,obj.h);
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33 obj.borrowing.M.S = 0.2505765857;
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34 otherwise
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35 error('Invalid operator order %d.',order);
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36 end
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37
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38 obj.m = m;
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39 obj.M = [];
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41 end
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