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Volumn 46, Issue 3, 2008, Pages 1640-1651

A weighted H(div) least-squares method for second-order elliptic problems

Author keywords

Boundary singularities; Finite element methods; Least squares; Weighted Sobolev spaces

Indexed keywords

BOUNDARY SINGULARITIES; ELLIPTIC PROBLEMS; ERROR ESTIMATES; LEAST SQUARES; LEAST-SQUARES METHODS; NUMERICAL TESTS; PIECEWISE POLYNOMIALS; POLLUTION EFFECTS; RATES OF CONVERGENCES; WEIGHTED SOBOLEV SPACES;

EID: 55349083688     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/070698531     Document Type: Article
Times cited : (14)

References (12)
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  • 4
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    • 2 norm error estimates for the div least-squares method
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    • CAI, Z.1    KU, J.2
  • 5
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    • First-order system least squares for second-order partial differential equations: Part I
    • Z. CAI, R. LAZAROV, T. A. MANTEUFFEL, AND S. F. MCCORMICK, First-order system least squares for second-order partial differential equations: Part I, SIAM J. Numer. Anal., 31 (1994), pp. 1785-1799.
    • (1994) SIAM J. Numer. Anal , vol.31 , pp. 1785-1799
    • CAI, Z.1    LAZAROV, R.2    MANTEUFFEL, T.A.3    MCCORMICK, S.F.4
  • 6
    • 0021611242 scopus 로고
    • On the accuracy of least squares methods in the presence of corner singularities
    • C. COX AND G. FIX, On the accuracy of least squares methods in the presence of corner singularities, Comput. Math. Appl., 10 (1984), pp. 463-475.
    • (1984) Comput. Math. Appl , vol.10 , pp. 463-475
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  • 8
    • 0000309125 scopus 로고
    • Boundary problems for elliptic equations in domains with conical or angular points
    • V. KONDRATIEV, Boundary problems for elliptic equations in domains with conical or angular points, Trans. Moscow Math. Soc., 16 (1967), pp. 227-313.
    • (1967) Trans. Moscow Math. Soc , vol.16 , pp. 227-313
    • KONDRATIEV, V.1
  • 9
    • 35948997705 scopus 로고    scopus 로고
    • A remark on the coercivity for a first-order least-squares method
    • J. KU, A remark on the coercivity for a first-order least-squares method, Numer. Methods Partial Differential Equations, 23 (2007), pp. 1577-1581.
    • (2007) Numer. Methods Partial Differential Equations , vol.23 , pp. 1577-1581
    • KU, J.1
  • 10
    • 35548955917 scopus 로고    scopus 로고
    • Weighted-norm first-order system least squares (FOSLS) for problems with corner singularities
    • E. LEE, T. A. MANTEUFFEL, AND C. R. WESTPHAL, Weighted-norm first-order system least squares (FOSLS) for problems with corner singularities, SIAM J. Numer. Anal., 44 (2006), pp. 1974-1996.
    • (2006) SIAM J. Numer. Anal , vol.44 , pp. 1974-1996
    • LEE, E.1    MANTEUFFEL, T.A.2    WESTPHAL, C.R.3
  • 11
    • 55349109992 scopus 로고    scopus 로고
    • Weighted-norm first-order system least squares (FOSLS) for div/curl systems with three dimensional edge singularities
    • E. LEE, T. MANTEUFFEL, AND C. WESTPHAL, Weighted-norm first-order system least squares (FOSLS) for div/curl systems with three dimensional edge singularities, SIAM J. Numer. Anal., 46 (2008), pp. 1619-1639.
    • (2008) SIAM J. Numer. Anal , vol.46 , pp. 1619-1639
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  • 12
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    • Regularity of the solutions of elliptic systems in polyhedral domains
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.