Convergence Analysis for a Nonsymmetric Galerkin Method for a Class of Singular Boundary Value Problems in One Space Dimension

Kenneth Eriksson, Yi-Yong Nie
1987 Mathematics of Computation  
For the method and problems under consideration we estimate the error in the maximum norm as well as at individual nodal points. In order to obtain full superconvergence at all nodal points we have to introduce local mesh refinements, even though the exact solution is smooth for the given class of problems.
doi:10.2307/2008256 fatcat:jkyfx7zyznbe7hna7jvmkwlbny