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Mathematics of Computation
Volumn 65, Issue 213, 1996, Pages 19-27
Some new error estimates for Ritz - Galerkin methods with minimal regularity assumptions
Author keywords

[No Author keywords available]
Indexed keywords

ELLIPTIC EQUATION; ERROR ESTIMATION; RITZ GALERKIN METHOD; SOBOLEV SPACE; SOLUTION REGULARITY;
EID: 0030375503     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-96-00649-7     Document Type: Article
Times cited : (78)
References (9)
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    • I. Babuška and R. B. Kellogg, Nonuniform error estimates foi the finite element method, SIAM J. Numer. Anal. 12 (1975), 868-875. MR 53:14939
    • (1975) SIAM J. Numer. Anal. , vol.12 , pp. 868-875
    • Babuška, I.1    Kellogg, R.B.2
  • 2
    • 84968496729 scopus 로고
    • Iterative schemes for nonsymmetric and indefinite elliptic boundary value problems
    • MR 93d:65034
    • J. H. Bramble, Z. Leyk, and J. E. Pasciak, Iterative schemes for nonsymmetric and indefinite elliptic boundary value problems Math. Comp. 60 (1993), 1-22. MR 93d:65034
    • (1993) Math. Comp. , vol.60 , pp. 1-22
    • Bramble, J.H.1    Leyk, Z.2    Pasciak, J.E.3
  • 3
    • 0001743874 scopus 로고
    • Domain decomposition algorithms for indefinite elliptic problems
    • MR 92i:65181
    • X. Cai and O. Widlund, Domain decomposition algorithms for indefinite elliptic problems, SIAM J. Sci. Statist. Comput. 13 (1992), 243-258. MR 92i:65181
    • (1992) SIAM J. Sci. Statist. Comput. , vol.13 , pp. 243-258
    • Cai, X.1    Widlund, O.2
  • 4
    • 0027640852 scopus 로고
    • Multiplicative Schwarz algorithms for some nonsymmetric and indefinite problems
    • MR 94j:65141
    • X.-C. Cai and O. B. Widlund, Multiplicative Schwarz algorithms for some nonsymmetric and indefinite problems, SIAM J. Numer. Anal. 30 (1993), 936-952. MR 94j:65141
    • (1993) SIAM J. Numer. Anal. , vol.30 , pp. 936-952
    • Cai, X.-C.1    Widlund, O.B.2
  • 5
    • 84980075333 scopus 로고
    • Constructive proofs of representation theorems in separable Hilbert space
    • MR: 29:3881
    • S. Hildebrandt and E. Weinholtz, Constructive proofs of representation theorems in separable Hilbert space, Comm. Pure Appl. Math. 17 (1964), 369-373. MR: 29:3881
    • (1964) Comm. Pure Appl. Math. , vol.17 , pp. 369-373
    • Hildebrandt, S.1    Weinholtz, E.2
  • 6
    • 84966217446 scopus 로고
    • An observation concerning Ritz-Galerkin methods with indefinite bilinear forms
    • MR 51:9526
    • A. H. Schatz, An observation concerning Ritz-Galerkin methods with indefinite bilinear forms, Math. Comp. 28 (1974), 959-962. MR 51:9526
    • (1974) Math. Comp. , vol.28 , pp. 959-962
    • Schatz, A.H.1
  • 7
    • 0027642364 scopus 로고
    • Convergence analysis of the Schwarz algorithm and multilevel decomposition iterative methods II: Nonselfadjoint and indefinite elliptic problems
    • MR 94e:65123
    • J. Wang, Convergence analysis of the Schwarz algorithm and multilevel decomposition iterative methods II: nonselfadjoint and indefinite elliptic problems SIAM J. Numer. Anal. 30 (1993), 953-970. MR 94e:65123
    • (1993) SIAM J. Numer. Anal. , vol.30 , pp. 953-970
    • Wang, J.1
  • 8
    • 0027543612 scopus 로고
    • Convergence analysis of multigrid algorithms for nonselfadjoint and indefinite elliptic problems
    • MR 93k:65100
    • _, Convergence analysis of multigrid algorithms for nonselfadjoint and indefinite elliptic problems, SIAM J. Numer. Anal. 30 (1993), 275-285. MR 93k:65100
    • (1993) SIAM J. Numer. Anal. , vol.30 , pp. 275-285
  • 9
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    • Some Schwarz methods for symmetric and nonsymmetric elliptic problems
    • (D. E. Keyes, T. F. Chan, G. Meurant, J. S. Scroggs, and R. G. Voigt, eds.), SIAM, Philadelphia, PA, MR 93j:65202
    • O. Widlund, Some Schwarz methods for symmetric and nonsymmetric elliptic problems, Domain Decomposition Methods for Partial Differential Equations (D. E. Keyes, T. F. Chan, G. Meurant, J. S. Scroggs, and R. G. Voigt, eds.), SIAM, Philadelphia, PA, 1992. MR 93j:65202
    • (1992) Domain Decomposition Methods for Partial Differential Equations
    • Widlund, O.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.