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Abstract

There are different possibilities of the approximation of singularities at corners occuring with elliptic boundary value problems in the plane. Numerical experiences are mentioned.

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Literatur

  • Bohl, E. [74] Monotonie, Lösbarkeit und Numerik bei Operatorgleichungen, Springer, 1974, 255 S.

    Google Scholar 

  • Collatz, L. [68] Funktional Analysis und Numerische Mathematik, Springer, 1968, 371 S.

    Google Scholar 

  • Collatz [80] Numerical treatment of some boundary-value problems with hidden singularities, Proc. Congress on Approx. Th.III, Acad. Press, 1980, 311-320.

    Google Scholar 

  • Collatz, L. [81] Anwendung von Monotoniesätzen zur Einschließung der Lösungen von Gleichungen; Jahrbuch Überblicke der Mathematik 1981, 189-225.

    Google Scholar 

  • Collatz, L. [85] Einige Anwendungen der mehrdimensionalen Approximationstheorie zur Lösungseinschließung bei Randwertaufgaben, Proc. Equadiff 6, Dep. of Math. Univ. Brno (1985), 367-372

    Google Scholar 

  • Collatz, L. [85a] Inclusion of regular and singular solutions of certain types of integral equations, Intern.Ser.Num.Math.73 (1985) 93–102.

    Google Scholar 

  • Collatz, L. — U. Grothkopf — W.K. Hayman [geplant 87] Modell einer Randwertaufgabe einer Pipeline mit verschiedenen Arten von Singularitäten.

    Google Scholar 

  • Görisch, F. — J. Albrecht [84] Eine einheitliche Herleitung von Einschließungssätzen für Eigenwerte, Intern. Ser. Num. Math.69 (1984) 58–88.

    Google Scholar 

  • Görisch, F. — S. Zimmermann [86] On Trefftz’s Method and its application to Eigenvalue Problems, Z. Angew. Math. Mech. 66 (1986) T304–T306.

    Google Scholar 

  • Kondrat’ev [67] Berichte der Akademie der Wissenschaften, Moskau, (1967).

    Google Scholar 

  • Meinardus, G. [67] Approximation of functions, Theory and numerical methods, Springer, 1967, 198 p.

    Google Scholar 

  • Meinardus G. — G. Merz [82] Praktische Mathematik I, B.I. Wissenschaftsverlag (1982) 491 S.

    Google Scholar 

  • Schröder, J. [80] Operator inequalities, Acad.Press (1980), 367 p.

    Google Scholar 

  • Tolksdorf, P. [83] Vortrag Tagung: Singularities and Constructive Methods for their treatment. Proc. Oberwolfach 21.–26. Nov. 1983.

    Google Scholar 

  • Watson, G.A. [80] Approximation Theory and Numerical Methods John Wiley 1980

    Google Scholar 

  • Whiteman, J.R. [85] Singularities in two-and threedimensional elliptic problems and finite element methods for their treatment, in Proc. Equadiff 6, Purkyne Univ, Dep. of Math. Brno 1985.

    Google Scholar 

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© 1987 Springer Basel AG

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Collatz, L. (1987). Approximation von Eckensingularitäten bei Randwertaufgaben. In: Collatz, L., Meinardus, G., Nürnberger, G. (eds) Numerical Methods of Approximation Theory/Numerische Methoden der Approximationstheorie. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 81. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6656-9_4

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  • DOI: https://doi.org/10.1007/978-3-0348-6656-9_4

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-6657-6

  • Online ISBN: 978-3-0348-6656-9

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