Titlebook: Numerical Methods for Differential Equations, Optimization, and Technological Problems; Dedicated to Profess Sergey Repin,Timo Tiihonen,Ter

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MUT

Upper Bound for the Approximation Error for the Kirchhoff-Love Arch Problemto the class of functional a posteriori error estimates. The derivation method uses purely functional arguments and, therefore, the estimates are valid for any conforming approximation within the energy space. The computational implementation of the upper bound is discussed and demonstrated by a numerical example.

Galactogogue

Guaranteed Error Bounds for a Class of Picard-Lindel?f Iteration Methodspper bounds of an approximation error. The upper bounds are based on the Ostrowski estimates and the Banach fixed point theorem for contractive operators. The estimates derived in the paper take into account interpolation and integration errors and, therefore, provide objective information on the accuracy of computed approximations.

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Numerical Methods for Differential Equations, Optimization, and Technological Problems978-94-007-5288-7Series ISSN 1871-3033 Series E-ISSN 2543-0203

ETCH

Book 2013zation” (CAO 2011) held in Jyv?skyl?, Finland, June 9–11, 2011. Both the conference and this volume are dedicated to Professor Pekka Neittaanm?ki on the occasion of his sixtieth birthday. It consists of five parts that are closely related to his scientific activities and interests: Numerical Methods

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Balancing Discretization and Iteration Error in Finite Element A Posteriori Error Analysisn fluid mechanics and the KKT system of a linear-quadratic elliptic optimal control problem. Furthermore, extensions are discussed for certain classes of nonlinear problems including eigenvalue problems and nonlinear reaction-diffusion equations.

Forehead-Lift

On Quantitative Analysis of an Ill-Posed Elliptic Problem with Cauchy Boundary Conditionser than a small positive number ., then .-neighborhood of (.,.) contains the exact solution of the direct boundary value problem with mixed boundary conditions, which are traces on the boundary .-close to the Cauchy conditions imposed. Advanced forms of the functional convenient for numerical computations are discussed.

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