@Article{JCM-3-97, author = {Jia-Chang Sun}, title = {Semilinear Finite Element Method}, journal = {Journal of Computational Mathematics}, year = {1985}, volume = {3}, number = {2}, pages = {97--114}, abstract = {
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 perturbation problems are included.
}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9610.html} }