diff +scheme/Scheme.m @ 0:48b6fb693025

Initial commit.
author Jonatan Werpers <jonatan@werpers.com>
date Thu, 17 Sep 2015 10:12:50 +0200
parents
children 16bad7c459da
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+++ b/+scheme/Scheme.m	Thu Sep 17 10:12:50 2015 +0200
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+% Start with all matrix returns. When that works see how we should generalize to non-matrix stuff/nonlinear
+classdef Scheme < handle
+    properties (Abstract)
+        m % Number of points in each direction, possibly a vector
+        order % Order accuracy for the approximation
+
+        % vectors u,v,w depending on dim that gives were gridpoints are in each dimension
+        % vectors x,y,z containing the x,y,z values corresponding to each grid point
+        % matrices X,Y,Z with point coordinates as multi dimensional vectors
+
+        D % non-stabalized scheme operator
+        H % Discrete norm
+
+        % Should also containg:
+        % the grid points used
+        % the grid spacing
+    end
+
+    methods (Abstract)
+        % Closure functions return the opertors applied to the own doamin to close the boundary
+        % Penalty functions return the opertors to force the solution. In the case of an interface it returns the operator applied to the other doamin.
+        %       boundary            is a string specifying the boundary e.g. 'l','r' or 'e','w','n','s'.
+        %       type                is a string specifying the type of boundary condition if there are several.
+        %       data                is a function returning the data that should be applied at the boundary.
+        %       neighbour_scheme    is an instance of Scheme that should be interfaced to.
+        %       neighbour_boundary  is a string specifying which boundary to interface to.
+        m = boundary_condition(obj,boundary,type,data)
+        m = interface(obj,boundary,neighbour_scheme,neighbour_boundary)
+        N = size(obj) % Returns the number of degrees of freedom.
+
+
+
+        % Static function to calculate the coupling of two domains with an interface ???
+    end
+
+    methods(Static)
+        % Calculates the matrcis need for the inteface coupling between boundary bound_u of scheme schm_u
+        % and bound_v of scheme schm_v.
+        %   [uu, uv, vv, vu] = inteface_couplong(A,'r',B,'l')
+        function [uu, uv, vv, vu] = interface_coupling(schm_u,bound_u,schm_v,bound_v)
+            [uu,uv] = schm_u.interface(bound_u,schm_v,bound_v);
+            [vv,vu] = schm_v.interface(bound_v,schm_u,bound_u);
+        end
+    end
+end
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