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-First let's look what the program actually computed, by looking at -some of the grids and solutions that were printed: -TODO +First let's look what the program actually computed. On the fifth +grid, primal and dual numerical solutions look like this: + + + + + + +
+ + Primal solution + + + + Dual solution + +
+Obviously, the region at the bottom left is so unimportant for the +point value evaluation at the top right that the grid is left entirely +unrefined there, even though the solution has singularities there! Due +to the symmetry in right hand side and domain, the solution should +actually look like at the top right in all four corners, but the mesh +refinement criterion involving the dual solution chose to refine them +differently. +

+ +

+Looking at the grids that are produced in the course of subsequent +refinement, these are some of them: + + + + + + + + + + + + + + + + + + +
+ + Grid 0 + + + + Grid 2 + +
+ + Grid 4 + + + + Grid 5 + +
+ + Grid 7 + + + + Grid 8 + +
Note the subtle interplay between resolving the corner singularities, and resolving around the point of evaluation. It will be rather -- 2.39.5