Mercurial > repos > public > sbplib
diff +sbp/D1Nonequidistant.m @ 284:dae8c3a56f5e
Merged in operator_remake (pull request #2)
Operator remake
author | Jonatan Werpers <jonatan.werpers@it.uu.se> |
---|---|
date | Mon, 12 Sep 2016 12:53:02 +0200 |
parents | 4b9310edcdf8 |
children | 3fdfad20037e |
line wrap: on
line diff
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/+sbp/D1Nonequidistant.m Mon Sep 12 12:53:02 2016 +0200 @@ -0,0 +1,94 @@ +classdef D1Nonequidistant < sbp.OpSet + properties + D1 % SBP operator approximating first derivative + H % Norm matrix + HI % H^-1 + Q % Skew-symmetric matrix + e_l % Left boundary operator + e_r % Right boundary operator + m % Number of grid points. + h % Step size + x % grid + borrowing % Struct with borrowing limits for different norm matrices + end + + methods + function obj = D1Nonequidistant(m,lim,order,option) + + default_arg('option','Accurate'); + % 'Accurate' operators are optimized for accuracy + % 'Minimal' operators have the smallest possible boundary + % closure + + x_l = lim{1}; + x_r = lim{2}; + L = x_r-x_l; + + switch option + + case {'Accurate','accurate','A'} + + if order == 4 + [obj.D1,obj.H,obj.x,obj.h] = ... + sbp.implementations.d1_noneq_4(m,L); + elseif order == 6 + [obj.D1,obj.H,obj.x,obj.h] = ... + sbp.implementations.d1_noneq_6(m,L); + elseif order == 8 + [obj.D1,obj.H,obj.x,obj.h] = ... + sbp.implementations.d1_noneq_8(m,L); + elseif order == 10 + [obj.D1,obj.H,obj.x,obj.h] = ... + sbp.implementations.d1_noneq_10(m,L); + elseif order == 12 + [obj.D1,obj.H,obj.x,obj.h] = ... + sbp.implementations.d1_noneq_12(m,L); + else + error('Invalid operator order %d.',order); + end + + case {'Minimal','minimal','M'} + + if order == 4 + [obj.D1,obj.H,obj.x,obj.h] = ... + sbp.implementations.d1_noneq_minimal_4(m,L); + elseif order == 6 + [obj.D1,obj.H,obj.x,obj.h] = ... + sbp.implementations.d1_noneq_minimal_6(m,L); + elseif order == 8 + [obj.D1,obj.H,obj.x,obj.h] = ... + sbp.implementations.d1_noneq_minimal_8(m,L); + elseif order == 10 + [obj.D1,obj.H,obj.x,obj.h] = ... + sbp.implementations.d1_noneq_minimal_10(m,L); + elseif order == 12 + [obj.D1,obj.H,obj.x,obj.h] = ... + sbp.implementations.d1_noneq_minimal_12(m,L); + else + error('Invalid operator order %d.',order); + end + + end + + obj.x = obj.x + x_l; + + obj.e_l = sparse(m,1); + obj.e_r = sparse(m,1); + obj.e_l(1) = 1; + obj.e_r(m) = 1; + + obj.HI = inv(obj.H); + obj.Q = obj.H*obj.D1 - obj.e_r*obj.e_r' + obj.e_l*obj.e_l'; + + obj.borrowing = []; + + end + end + + +end + + + + +