Babuška, Ivo; Dorr, Milo R. Error estimates for the combined h and p versions of the finite element method. (English) Zbl 0487.65058 Numer. Math. 37, 257-277 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 63 Documents MSC: 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 65N15 Error bounds for boundary value problems involving PDEs 35J25 Boundary value problems for second-order elliptic equations 65L10 Numerical solution of boundary value problems involving ordinary differential equations 34B05 Linear boundary value problems for ordinary differential equations Keywords:error estimates; h-version; finite element method; p-version; rate of convergence; corner singularities; numerical results PDF BibTeX XML Cite \textit{I. Babuška} and \textit{M. R. Dorr}, Numer. Math. 37, 257--277 (1981; Zbl 0487.65058) Full Text: DOI EuDML OpenURL References: [1] Babuška, I., Kellogg, R.B., Pitkäranta, J.: Direct and inverse error estimates for finite elements with mesh refinement. Numer. Math.33, 447–471 (1979) · Zbl 0423.65057 [2] Babuška, I., Szabo, B.A., Katz, I.N.: Thep-version of the finite element method. Report WU/CCM-79/1, Center for Computational Mechanics, Washington University, SINUM (1981) [3] Bergh, J., Löfstrom, J.: Interpolation spaces. Berlin-Heidelberg-New York: Springer 1976 [4] Ciarlet, P.: The finite element method for elliptic problems. Amsterdam: North-Holland 1978 · Zbl 0383.65058 [5] DeVore, R., Scherer, K.: Variable knot, variable degree spline approximation tox {\(\beta\)}. In: Quantitative approximation, Proceedings of the Bonn Conference. New York: Academic Press 1979 [6] Grisvard, P.: Boundary value problems in non-smooth domains. Lecture Notes 19, University of Maryland, 1980 [7] Kondrat’ev, V.A.: Boundary problems for elliptic equations with conical or angular points. Trans. Moscow Math Soc.16, 227–313 (1967) · Zbl 0194.13405 [8] Stein, E.: Singular integrals and differentiability properties of functions. Princeton: Princeton University Press 1970 · Zbl 0207.13501 [9] Widlund, O.: On best error bounds for approximation by piecewise polynomial functions. Numer. Math.27, 327–338, 1977 · Zbl 0331.41010 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.