Semilinear Finite Element Method
Jia-Chang Sun 11 Computing Center, Academia Sinica, China
Received 1983-7-1 Revised Online 2006-11-19
In the Ritz-Galerkin method the linear subspace of the trial solution is extended to a closed subset. Some results, such as orthogonalization and minimum property of the error function, are obtained.A second order scheme is developed for solving a linear singular perturbation elliptic problem and error estimates are given for a uniform mesh size. Numerical results for linear and semilinear singular pertubation problems are included.