--- a/+scheme/Laplace1d.m	Wed Aug 07 13:28:21 2019 +0200
+++ b/+scheme/Laplace1d.m	Wed Aug 07 15:23:42 2019 +0200
@@ -56,11 +56,13 @@
             default_arg('type','neumann');
             default_arg('data',0);
 
-            [e,d,s] = obj.get_boundary_ops(boundary);
+            e = obj.getBoundaryOperator('e', boundary);
+            d = obj.getBoundaryOperator('d', boundary);
+            s = obj.getBoundarySign(boundary);
 
             switch type
                 % Dirichlet boundary condition
-                case {'D','dirichlet'}
+                case {'D','d','dirichlet'}
                     tuning = 1.1;
                     tau1 = -tuning/obj.gamm;
                     tau2 =  1;
@@ -68,10 +70,10 @@
                     tau = tau1*e + tau2*d;
 
                     closure = obj.a*obj.Hi*tau*e';
-                    penalty = obj.a*obj.Hi*tau;
+                    penalty = -obj.a*obj.Hi*tau;
 
                 % Neumann boundary condition
-                case {'N','neumann'}
+                case {'N','n','neumann'}
                     tau = -e;
 
                     closure = obj.a*obj.Hi*tau*d';
@@ -86,10 +88,13 @@
         function [closure, penalty] = interface(obj, boundary, neighbour_scheme, neighbour_boundary, type)
             % u denotes the solution in the own domain
             % v denotes the solution in the neighbour domain
+            e_u = obj.getBoundaryOperator('e', boundary);
+            d_u = obj.getBoundaryOperator('d', boundary);
+            s_u = obj.getBoundarySign(boundary);
 
-            [e_u,d_u,s_u] = obj.get_boundary_ops(boundary);
-            [e_v,d_v,s_v] = neighbour_scheme.get_boundary_ops(neighbour_boundary);
-
+            e_v = neighbour_scheme.getBoundaryOperator('e', neighbour_boundary);
+            d_v = neighbour_scheme.getBoundaryOperator('d', neighbour_boundary);
+            s_v = neighbour_scheme.getBoundarySign(neighbour_boundary);
 
             a_u = obj.a;
             a_v = neighbour_scheme.a;
@@ -99,7 +104,7 @@
 
             tuning = 1.1;
 
-            tau1 = -(a_u/gamm_u + a_v/gamm_v) * tuning;
+            tau1 = -1/4*(a_u/gamm_u + a_v/gamm_v) * tuning;
             tau2 = 1/2*a_u;
             sig1 = -1/2;
             sig2 = 0;
@@ -111,20 +116,37 @@
             penalty = obj.Hi*(-tau*e_v' + sig*a_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] = get_boundary_ops(obj,boundary)
+        % Returns the boundary operator op for the boundary specified by the string boundary.
+        % op        -- string
+        % boundary  -- string
+        function o = getBoundaryOperator(obj, op, boundary)
+            assertIsMember(op, {'e', 'd'})
+            assertIsMember(boundary, {'l', 'r'})
+
+            o = obj.([op, '_', boundary]);
+        end
+
+        % Returns square boundary quadrature matrix, of dimension
+        % corresponding to the number of boundary points
+        %
+        % boundary -- string
+        % Note: for 1d diffOps, the boundary quadrature is the scalar 1.
+        function H_b = getBoundaryQuadrature(obj, boundary)
+            assertIsMember(boundary, {'l', 'r'})
+
+            H_b = 1;
+        end
+
+        % Returns the boundary sign. The right boundary is considered the positive boundary
+        % boundary -- string
+        function s = getBoundarySign(obj, boundary)
+            assertIsMember(boundary, {'l', 'r'})
+
             switch boundary
-                case 'l'
-                    e = obj.e_l;
-                    d = obj.d_l;
+                case {'r'}
+                    s = 1;
+                case {'l'}
                     s = -1;
-                case 'r'
-                    e = obj.e_r;
-                    d = obj.d_r;
-                    s = 1;
-                otherwise
-                    error('No such boundary: boundary = %s',boundary);
             end
         end
 
@@ -133,14 +155,4 @@
         end
 
     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
\ No newline at end of file
+end