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comparison +sbp/D2Variable.m @ 886:8894e9c49e40 feature/timesteppers

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Merge with default for latest changes
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Thu, 15 Nov 2018 16:36:21 -0800
parents 52a9dedb9171
children 738de3a4058b
comparison
equal deleted inserted replaced
816:b5e5b195da1e 886:8894e9c49e40
16 borrowing % Struct with borrowing limits for different norm matrices 16 borrowing % Struct with borrowing limits for different norm matrices
17 end 17 end
18 18
19 methods 19 methods
20 function obj = D2Variable(m,lim,order) 20 function obj = D2Variable(m,lim,order)
21 21
22 x_l = lim{1}; 22 x_l = lim{1};
23 x_r = lim{2}; 23 x_r = lim{2};
24 L = x_r-x_l; 24 L = x_r-x_l;
25 obj.h = L/(m-1); 25 obj.h = L/(m-1);
26 obj.x = linspace(x_l,x_r,m)'; 26 obj.x = linspace(x_l,x_r,m)';
27 27
28 switch order 28 switch order
29
30 case 6
31
32 [obj.H, obj.HI, obj.D1, obj.D2, ...
33 ~, obj.e_l, obj.e_r, ~, ~, ~, ~, ~,...
34 obj.d1_l, obj.d1_r] = ...
35 sbp.implementations.d4_variable_6(m, obj.h);
36 obj.borrowing.M.d1 = 0.1878;
37 obj.borrowing.R.delta_D = 0.3696;
38 % Borrowing e^T*D1 - d1 from R
39
29 case 4 40 case 4
30 [obj.H, obj.HI, obj.D1, obj.D2, obj.e_l,... 41 [obj.H, obj.HI, obj.D1, obj.D2, obj.e_l,...
31 obj.e_r, obj.d1_l, obj.d1_r] = ... 42 obj.e_r, obj.d1_l, obj.d1_r] = ...
32 sbp.implementations.d2_variable_4(m,obj.h); 43 sbp.implementations.d2_variable_4(m,obj.h);
33 obj.borrowing.M.S = 0.2505765857; 44 obj.borrowing.M.d1 = 0.2505765857;
45
46 obj.borrowing.R.delta_D = 0.577587500088313;
47 % Borrowing e^T*D1 - d1 from R
34 case 2 48 case 2
35 [obj.H, obj.HI, obj.D1, obj.D2, obj.e_l,... 49 [obj.H, obj.HI, obj.D1, obj.D2, obj.e_l,...
36 obj.e_r, obj.d1_l, obj.d1_r] = ... 50 obj.e_r, obj.d1_l, obj.d1_r] = ...
37 sbp.implementations.d2_variable_2(m,obj.h); 51 sbp.implementations.d2_variable_2(m,obj.h);
38 obj.borrowing.M.S = 0.3636363636; 52 obj.borrowing.M.d1 = 0.3636363636;
39 % Borrowing const taken from Virta 2014 53 % Borrowing const taken from Virta 2014
54
55 obj.borrowing.R.delta_D = 1.000000538455350;
56 % Borrowing e^T*D1 - d1 from R
40 57
41 otherwise 58 otherwise
42 error('Invalid operator order %d.',order); 59 error('Invalid operator order %d.',order);
43 end 60 end
44 61 obj.borrowing.H11 = obj.H(1,1)/obj.h; % First element in H/h,
45 obj.m = m; 62 obj.m = m;
46 obj.M = []; 63 obj.M = [];
47 64 end
65 function str = string(obj)
66 str = [class(obj) '_' num2str(obj.order)];
48 end 67 end
49 end 68 end
69
50 70
51 end 71 end
52 72
53 73
54 74