Mercurial > repos > public > sbplib

annotate +sbp/D1Gauss.m @ 1322:412b8ceafbc6 feature/poroelastic

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
Add Zt to output args for Elastic2dCurvilinearAnisotropic.interfaceNormalTangential
author Martin Almquist <malmquist@stanford.edu>
date Sat, 24 Oct 2020 20:58:26 -0700
parents e1d11b6a68d8
children
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
405
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
1 classdef D1Gauss < sbp.OpSet
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
2 % Diagonal-norm SBP operators based on the Gauss quadrature formula
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
3 % with m nodes, which is of degree 2m-1. Hence, The operator D1 is
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
4 % accurate of order m.
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
5 properties
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
6 D1 % SBP operator approximating first derivative
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
7 H % Norm matrix
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
8 HI % H^-1
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
9 Q % Skew-symmetric matrix
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
10 e_l % Left boundary operator
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
11 e_r % Right boundary operator
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
12 m % Number of grid points.
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
13 h % Step size
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
14 x % grid
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
15 borrowing % Struct with borrowing limits for different norm matrices
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
16 end
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
17
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
18 methods
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
19 function obj = D1Gauss(m,lim)
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
20
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
21 x_l = lim{1};
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
22 x_r = lim{2};
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
23 L = x_r-x_l;
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
24
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
25 switch m
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
26 case 4
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
27 [obj.D1,obj.H,obj.x,obj.h,obj.e_l,obj.e_r] = ...
409
42c4f0b545d6 Remove m as input to implementation function. Fix error message for invalid m to D1Gauss
Jonatan Werpers <jonatan@werpers.com>
parents: 405
diff changeset
28 sbp.implementations.d1_gauss_4(L);
405
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
29 otherwise
409
42c4f0b545d6 Remove m as input to implementation function. Fix error message for invalid m to D1Gauss
Jonatan Werpers <jonatan@werpers.com>
parents: 405
diff changeset
30 error('Invalid number of points: %d.', m);
405
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
31 end
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
32
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
33
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
34 obj.x = obj.x + x_l;
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
35 obj.HI = inv(obj.H);
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
36 obj.Q = obj.H*obj.D1 - obj.e_r*obj.e_r' + obj.e_l*obj.e_l';
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
37
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
38 obj.borrowing = [];
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
39 end
441
e1d11b6a68d8 Add string methods to OpSets that are missing them
Jonatan Werpers <jonatan@werpers.com>
parents: 409
diff changeset
40
e1d11b6a68d8 Add string methods to OpSets that are missing them
Jonatan Werpers <jonatan@werpers.com>
parents: 409
diff changeset
41 function str = string(obj)
e1d11b6a68d8 Add string methods to OpSets that are missing them
Jonatan Werpers <jonatan@werpers.com>
parents: 409
diff changeset
42 str = [class(obj) '_' num2str(obj.order)];
e1d11b6a68d8 Add string methods to OpSets that are missing them
Jonatan Werpers <jonatan@werpers.com>
parents: 409
diff changeset
43 end
405
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
44 end
4d9d8064e58b Implementation of D1 based on Gauss quadrature formula with 4 nodes.
Martin Almquist <martin.almquist@it.uu.se>
parents:
diff changeset
45 end