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annotate +sbp/D1Staggered.m @ 637:eead18a8964d feature/d1_staggered

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Rename +- grids primal and dual grids
author Martin Almquist <malmquist@stanford.edu>
date Wed, 08 Nov 2017 10:56:09 -0800
parents 476b7e411ce3
children 17dffd56f2fe
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1 classdef D1Staggered < sbp.OpSet
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2 properties
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3 % x_primal: "primal" grid with m points. Equidistant. Called Plus grid in Ossian's paper.
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4 % x_dual: "dual" grid with m+1 points. Called Minus grid in Ossian's paper.
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5
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6 D1_primal % SBP operator approximating first derivative
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7 D1_dual % SBP operator approximating first derivative
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8 H_primal % Norm matrix
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9 H_dual % Norm matrix
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10 H_primalI % H^-1
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11 H_dualI % H^-1
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12 e_primal_l % Left boundary operator
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13 e_dual_l % Left boundary operator
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14 e_primal_r % Right boundary operator
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15 e_dual_r % Right boundary operator
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16 m % Number of grid points.
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17 m_primal % Number of grid points.
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18 m_dual % Number of grid points.
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19 h % Step size
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20 x_primal % grid
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21 x_dual % grid
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22 x
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23 borrowing % Struct with borrowing limits for different norm matrices
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24 end
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25
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26 methods
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27 function obj = D1Staggered(m,lim,order)
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28
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29 x_l = lim{1};
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30 x_r = lim{2};
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31 L = x_r-x_l;
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32
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33 m_primal = m;
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34 m_dual = m+1;
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35
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36 switch order
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37 case 2
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38 [x_primal, x_dual, Pp, Pm, Qp, Qm] = sbp.implementations.d1_staggered_2(m, L);
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39 case 4
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40 [x_primal, x_dual, Pp, Pm, Qp, Qm] = sbp.implementations.d1_staggered_4(m, L);
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41 case 6
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42 [x_primal, x_dual, Pp, Pm, Qp, Qm] = sbp.implementations.d1_staggered_6(m, L);
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43 otherwise
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44 error('Invalid operator order %d.',order);
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45 end
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46
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47 obj.m = m;
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48 obj.m_primal = m_primal;
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49 obj.m_dual = m_dual;
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50 obj.x_primal = x_l + x_primal';
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51 obj.x_dual = x_l + x_dual';
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52
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53 D1_primal = Pp\Qp;
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54 D1_dual = Pm\Qm;
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56 obj.D1_primal = D1_primal;
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57 obj.D1_dual = D1_dual;
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58 pbj.H_primal = Pp;
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59 obj.H_dual = Pm;
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61 obj.e_primal_l = sparse(m_primal,1);
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62 obj.e_primal_r = sparse(m_primal,1);
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63 obj.e_primal_l(1) = 1;
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64 obj.e_primal_r(m_primal) = 1;
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65
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66 obj.e_dual_l = sparse(m_dual,1);
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67 obj.e_dual_r = sparse(m_dual,1);
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68 obj.e_dual_l(1) = 1;
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69 obj.e_dual_r(m_dual) = 1;
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71 obj.H_primalI = inv(obj.H_primal);
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72 obj.H_dualI = inv(obj.H_dual);
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73
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74 obj.borrowing = [];
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75 obj.x = [];
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76
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77 end
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78
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79 function str = string(obj)
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80 str = [class(obj) '_' num2str(obj.order)];
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81 end
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82 end
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83 end