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Volume 3, Issue 2
Semilinear Finite Element Method

Jia-Chang Sun

J. Comp. Math., 3 (1985), pp. 97-114.

Published online: 1985-03

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  • 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.

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@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} }
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 -

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.

Jia-Chang Sun. (1985). Semilinear Finite Element Method. Journal of Computational Mathematics. 3 (2). 97-114. doi:
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