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Babuška, Ivo

Error-bounds for finite element method. (English) Zbl 0214.42001

Numer. Math. 16, 322-333 (1971).
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Cited in 391 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
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
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\textit{I. Babuška}, Numer. Math. 16, 322--333 (1971; Zbl 0214.42001)
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References:

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[10] Babuška, L : Approximation by the hill functions. To appear. Technical Note BN-648, 1970, University of Maryland, Institute for Fluid Dynamics and Applied Mathematics. To appear in CMUC.
[11] Laasonen, P.: On the degree of convergence of discrete approximation for the solution of the Dirichlet problem. Ann. Acad. Sci. Finn. Ser. A,I, No. 246 (1957) · Zbl 0103.10502
[12] —- On the truncation error of discrete approximations into the solution of Dirichlet problems in a domain with corners. J. Assoc. Comp. Math.5, 32–38 (1958) · Zbl 0086.32703
[13] Veidinger, L.: On the order of convergence of finite difference approximations to the solution of the Dirichlet problem in a domain with corners. Studia Scient. Math. Hung.3, No. 1-3, 337–343 (1968). · Zbl 0165.18204
[14] Ciarlet, P.: Discrete variational Green’s function. To appear. · Zbl 0194.12703
[15] Babuška, I., Práger, M., Vitásek, E.: Numerical processes in differential equations. New York: J. Wiley 1966. · Zbl 0156.16003
[16] Volkov, E. A.: Method of composit meshes for bounded and unbounded domain with piecewise smooth boundary (in Russian). Proceedings of the Steklov institute of Mathematics No. 96, 117–148 (1968).
[17] Babuška, L : The rate of convergence for the finite element method. Technical Note BN-646, 1970, University of Maryland, Institute for Fluid Dynamics and Applied Mathematics. To appear in SIAM J. Num. Anal.
[18] – Finite element method for domains with corners. Technical Note BN-636, 1970, University of Maryland, Institute for Fluid Dynamics and Applied Mathematics. To appear in Computing. · Zbl 0224.65031
[19] – The finite element method for elliptic equations with discontinuous coefficients. Technical Note BN-631, 1969, University of Maryland, Institute for Fluid Dynamics and Applied Mathematics. To appear in Computing.
[20] – The finite element method for elliptic differential equations. Technical Note Note BN-653, 1970, University of Maryland, Institute for Fluid Dynamics and Applied Mathematics. To appear in SYNSPADE Proceedings (Symposium on the Numerical Solution Solution of Partial Differential Equations), May 11–15, 1970, University of Maryland.
[21] – Computation of derivatives in the finite element method. Technical Note BN-650, 1970, University of Maryland, Institute for Fluid Dynamics and Applied Mathematics. To appear in CMUC. · Zbl 0219.65089
[22] – Segethová, J., Segeth, K.: Numerical experiments with finite element method I. Technical Note BN-669, 1970, University of Maryland, Institute for Fluid Dynamics and Applied Mathematics.
[23] – The finite element method for unbounded domains I. Technical Note BN-670, 1970, University of Maryland, Institute for Fluid Dynamics and Applied Mathematics.
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