Convergence analysis for a nonsymmetric Galerkin method for a class of singular boundary value problems in one space dimension
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- by Kenneth Eriksson and Yi Yong Nie PDF
- Math. Comp. 49 (1987), 167-186 Request permission
Abstract:
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.References
- Kenneth Eriksson and Vidar Thomée, Galerkin methods for singular boundary value problems in one space dimension, Math. Comp. 42 (1984), no. 166, 345–367. MR 736441, DOI 10.1090/S0025-5718-1984-0736441-1 B. Gidas, Wei Ming Ni & L. Nirenberg, "Symmetry of positive solutions of nonlinear elliptic equations in ${R^n}$," J. Math. Anal. Appl. Part A, pp. 369-402, Adv. in Math. Suppl. Stud., 7a, Academic Press, New York, 1981.
- Dennis Jespersen, Ritz-Galerkin methods for singular boundary value problems, SIAM J. Numer. Anal. 15 (1978), no. 4, 813–834. MR 488786, DOI 10.1137/0715054
Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Math. Comp. 49 (1987), 167-186
- MSC: Primary 65N10; Secondary 65N30
- DOI: https://doi.org/10.1090/S0025-5718-1987-0890260-7
- MathSciNet review: 890260