Error Estimates in Renewal Theory
Stephen Wainger (1969-1970)
Séminaire de théorie des nombres de Bordeaux
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Stephen Wainger (1969-1970)
Séminaire de théorie des nombres de Bordeaux
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Segeth, Karel
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A lot of papers and books analyze analytical a posteriori error estimates from the point of view of robustness, guaranteed upper bounds, global efficiency, etc. At the same time, adaptive finite element methods have acquired the principal position among algorithms for solving differential problems in many physical and technical applications. In this survey contribution, we present and compare, from the viewpoint of adaptive computation, several recently published error estimation procedures...
M. V. Ćelić (1989)
Matematički Vesnik
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S. Cochez-Dhondt, S. Nicaise, S. Repin (2009)
Mathematical Modelling of Natural Phenomena
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We present new a posteriori error estimates for the finite volume approximations of elliptic problems. They are obtained by applying functional a posteriori error estimates to natural extensions of the approximate solution and its flux computed by the finite volume method. The estimates give guaranteed upper bounds for the errors in terms of the primal (energy) norm, dual norm (for fluxes), and also in terms of the combined primal-dual norms. It is shown that the estimates provide sharp...
Karel Tříska (1933)
Aktuárské vědy
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Giles Auchmuty (1992)
Numerische Mathematik
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Dolejší, Vít, Roskovec, Filip
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This paper is concerned with goal-oriented a posteriori error estimates for discontinous Galerkin discretizations of linear elliptic boundary value problems. Our approach combines the Dual Weighted Residual method (DWR) with local weighted least-squares reconstruction of the discrete solution. This technique is used not only for controlling the discretization error, but also to track the influence of the algebraic errors. We illustrate the performance of the proposed method by numerical...
Friedrich Stummel (1985)
Numerische Mathematik
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Gabriel N. Gatica (1987)
Extracta Mathematicae
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