diff +scheme/Wave2d.m @ 997:78db023a7fe3 feature/getBoundaryOp

Add getBoundaryOperator method to all 2d schemes, except obsolete Wave2dCurve and ElastiCurve, which needs a big makeover.
author Martin Almquist <malmquist@stanford.edu>
date Sat, 12 Jan 2019 11:57:50 -0800
parents 706d1c2b4199
children 8d73fcdb07a5
line wrap: on
line diff
--- a/+scheme/Wave2d.m	Tue Jan 08 11:51:24 2019 +0100
+++ b/+scheme/Wave2d.m	Sat Jan 12 11:57:50 2019 -0800
@@ -106,7 +106,10 @@
             default_arg('type','neumann');
             default_arg('data',0);
 
-            [e,d,s,gamm,halfnorm_inv] = obj.get_boundary_ops(boundary);
+            [e, d] = obj.getBoundaryOperator({'e', 'd'}, boundary);
+            gamm = obj.getBoundaryBorrowing(boundary);
+            s = obj.getBoundarySign(boundary);
+            halfnorm_inv = obj.getHalfnormInv(boundary);
 
             switch type
                 % Dirichlet boundary condition
@@ -164,6 +167,15 @@
             [e_u,d_u,s_u,gamm_u, halfnorm_inv] = obj.get_boundary_ops(boundary);
             [e_v,d_v,s_v,gamm_v] = neighbour_scheme.get_boundary_ops(neighbour_boundary);
 
+            [e_u, d_u] = obj.getBoundaryOperator({'e', 'd'}, boundary);
+            gamm_u = obj.getBoundaryBorrowing(boundary);
+            s_u = obj.getBoundarySign(boundary);
+            halfnorm_inv = obj.getHalfnormInv(boundary);
+
+            [e_v, d_v] = neighbour_scheme.getBoundaryOperator({'e', 'd'}, neighbour_boundary);
+            gamm_v = neighbour_scheme.getBoundaryBorrowing(neighbour_boundary);
+            s_v = neighbour_scheme.getBoundarySign(neighbour_boundary);
+
             tuning = 1.1;
 
             alpha_u = obj.alpha;
@@ -183,34 +195,109 @@
             penalty = halfnorm_inv*(-tau*e_v' - sig*alpha_v*d_v');
         end
 
-        % Ruturns the boundary ops and sign for the boundary specified by the string boundary.
-        % The right boundary is considered the positive boundary
-        function [e,d,s,gamm, halfnorm_inv] = get_boundary_ops(obj,boundary)
+
+        % Returns the boundary operator op for the boundary specified by the string boundary.
+        % op        -- string or a cell array of strings
+        % boundary  -- string
+        function varargout = getBoundaryOperator(obj, op, boundary)
+
+            if ~iscell(op)
+                op = {op};
+            end
+
+            for i = 1:numel(op)
+                switch op{i}
+                case 'e'
+                    switch boundary
+                    case 'w'
+                        e = obj.e_w;
+                    case 'e'
+                        e = obj.e_e;
+                    case 's'
+                        e = obj.e_s;
+                    case 'n'
+                        e = obj.e_n;
+                    otherwise
+                        error('No such boundary: boundary = %s',boundary);
+                    end
+                    varargout{i} = e;
+
+                case 'd'
+                    switch boundary
+                    case 'w'
+                        d = obj.d1_w;
+                    case 'e'
+                        d = obj.d1_e;
+                    case 's'
+                        d = obj.d1_s;
+                    case 'n'
+                        d = obj.d1_n;
+                    otherwise
+                        error('No such boundary: boundary = %s',boundary);
+                    end
+                    varargout{i} = d;
+                end
+            end
+
+        end
+
+        % Returns square boundary quadrature matrix, of dimension
+        % corresponding to the number of boundary points
+        %
+        % boundary -- string
+        function H_b = getBoundaryQuadrature(obj, boundary)
+
             switch boundary
                 case 'w'
-                    e = obj.e_w;
-                    d = obj.d1_w;
-                    s = -1;
-                    gamm = obj.gamm_x;
-                    halfnorm_inv = obj.Hix;
+                    H_b = obj.H_y;
                 case 'e'
-                    e = obj.e_e;
-                    d = obj.d1_e;
-                    s = 1;
-                    gamm = obj.gamm_x;
-                    halfnorm_inv = obj.Hix;
+                    H_b = obj.H_y;
                 case 's'
-                    e = obj.e_s;
-                    d = obj.d1_s;
-                    s = -1;
-                    gamm = obj.gamm_y;
-                    halfnorm_inv = obj.Hiy;
+                    H_b = obj.H_x;
                 case 'n'
-                    e = obj.e_n;
-                    d = obj.d1_n;
+                    H_b = obj.H_x;
+                otherwise
+                    error('No such boundary: boundary = %s',boundary);
+            end
+        end
+
+        % Returns borrowing constant gamma
+        % boundary -- string
+        function gamm = getBoundaryBorrowing(obj, boundary)
+            switch boundary
+                case {'w','e'}
+                    gamm = obj.gamm_x;
+                case {'s','n'}
+                    gamm = obj.gamm_y;
+                otherwise
+                    error('No such boundary: boundary = %s',boundary);
+            end
+        end
+
+        % Returns the boundary sign. The right boundary is considered the positive boundary
+        % boundary -- string
+        function s = getBoundarySign(obj, boundary)
+            switch boundary
+                case {'e','n'}
                     s = 1;
-                    gamm = obj.gamm_y;
-                    halfnorm_inv = obj.Hiy;
+                case {'w','s'}
+                    s = -1;
+                otherwise
+                    error('No such boundary: boundary = %s',boundary);
+            end
+        end
+
+        % Returns the halfnorm_inv used in SATs. TODO: better notation
+        function Hinv = getHalfnormInv(obj, boundary)
+            switch boundary
+                case 'w'
+                    Hinv = obj.Hix;
+                case 'e'
+                    Hinv = obj.Hix;
+                case 's'
+                    Hinv = obj.Hiy;
+                case 'n'
+                    Hinv = obj.Hiy;
                 otherwise
                     error('No such boundary: boundary = %s',boundary);
             end