TY - JOUR
T1 - Semilinear Finite Element Method
AU - Jia-Chang Sun
JO - Journal of Computational Mathematics
VL - 2
SP - 97
EP - 114
PY - 1985
DA - 1985/03
SN - 3
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9610.html
KW - 
AB - <p style="text-align: justify;">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.</p>