Opening book details…
Can I read Functional a Posteriori Error Estimates for Certain Models of Plates and Beams on EtoBox?
Functional a Posteriori Error Estimates for Certain Models of Plates and Beams by M. E. Frolov is a Mathematics article available to read on EtoBox.
What is Functional a Posteriori Error Estimates for Certain Models of Plates and Beams about?
In this paper we consider computable and guaranteed a posteriori error estimates for boundary value problems for the models of Reissner-Mindlin plates and Timoshenko beams. These estimates are reliable and can be applied to any conforming approximation, regardless of the method used for its computing. We demonstrate this important feature with the paradigm of a popular commercial software package, which is used as a 'black box' solver. Numerical experiments show that the proposed error majorants can be efficiently used for the error control of the quality of numerical approximations computed by this method. Investigation of approaches to a posteriori error estimation for numerical solutions is an important field in modern numerical analysis. This topic is of interest for many authors and the corresponding literature is extensive. Nevertheless, authors do not perform comprehensive testing of the classical approaches (like various residualbased approaches or approaches based on postprocessing of an approximate solution) using modern software for engineering. The reason why is evident -such commercial tools behave like a 'black box' with too many hidden details. The classical methods
Who reads Functional a Posteriori Error Estimates for Certain Models of Plates and Beams?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- M. E. Frolov
- Publisher
- Walter de Gruyter GmbH
- Published
- 2010
- Language
- EN
- Field
- Mathematics (Physical Sciences)