Geodesic
Area of contraction of Newton's method applied to a penalty technique for obstacle problems
Applications of Mathematics, Tome 38 (1993) no. 6, pp. 428-439

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MR Zbl
DOI : 10.21136/AM.1993.104565
Classification : 49J40, 49M30, 65K10
Keywords: penalty method; obstacle problem; abstract variational problem; inequality constraints; linear finite elements; Newton method; area of contraction 
Böhmer, Klaus; Grossmann, Christian. Area of contraction of Newton's method applied to a penalty technique for obstacle problems. Applications of Mathematics, Tome 38 (1993) no. 6, pp. 428-439. doi: 10.21136/AM.1993.104565
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[1] Adam S.: Numerische Verfahren für Variationsungleichungen. Dipl. thesis, TU Dresden, 1992.

[2] Allgower E. L., Böhmer K.: Application of the independence principle to mesh refinement strategies. SIAM J.Numer.Anal. 24 (1987), 1335-1351. | DOI | MR

[3] Baiocchi C.: Estimation d'erreur dans $L_{\infty}$ pour les inéquations a obstacle. In Lecture Notes Math., vol. 606, 1977, pp. 27-34. | MR

[4] Brezzi F., Fortin M: Mixed and hybrid finite element methods. Springer, Berlin, 1991. | MR | Zbl

[5] Ciarlet P.: The finite element method for elliptic problems. North-Holland, Amsterdam, 1978. | MR | Zbl

[6] Deuflhard P., Potra F. A.: Asymptotic mesh independence of Newton-Galerkin methods via a refined Mysovskii theorem. Preprint SC 90-9, Konrad-Zuse-Zentrum, Berlin, 1990. | MR

[7] Grossmann C. , Kaplan A. A.: On the solution of discretized obstacle problems by an adapted penalty method. Computing 35 (1985), 295-306. | DOI | MR | Zbl

[8] Grossmann C., Roos H.-G.: Numerik partieller Differentialgleichungen. Teubner, Stuttgart, 1992. | MR | Zbl

[9] Haslinger J.: Mixed formulation of elliptic variational inequalities and its approximation. Applikace Mat. 26 (1981), 462-475. | MR | Zbl

[10] Hlaváček I., Haslinger J., Nečas J., Lovíšek J.: Numerical solution of variational inequalities. Springer, Berlin, 1988.

[11] Windisch G.: M-matrices in numerical analysis. Teubner, Leipzig, 1989. | MR

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