Singularities and pollution in case of re-entrant corners

Prof. Lorenz John

Nov. 11, 2014, 3:30 p.m. S2 059

Energy-corrected finite element methods provide an attractive technique to deal with problems in domains with re-entrant corners. Optimal convergence rates in weighted L2-norms can be fully recovered by a local modification at the re-entrant corner. Numerical examples illustrate the flexibility of the approach and the applicability also to the Stokes equations, and optimal control problems.