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Can I read A Posteriori Error Estimation in Least-squares Stabilized Finite Element Schemes on EtoBox?
A Posteriori Error Estimation in Least-squares Stabilized Finite Element Schemes by Rolf Rannacher is a Engineering article available to read on EtoBox.
What is A Posteriori Error Estimation in Least-squares Stabilized Finite Element Schemes about?
We introduce a new approach to a posteriori error estimation in finite element Galerkin schemes with least-squares stabilization. Typical examples are the stabilization of equal-order approximation in mixed finite element schemes and the streamline-diffusion method for convection-dominated problems. The underlying framework is the general optimal-control approach recently proposed for error control in finite element models. In this method the approximate solutions of certain dual problems are used as weighting factors in residual-based a posteriori bounds for arbitrary functionals of the error. On this basis almost optimally economical meshes as well as reliable and efficient error bounds can be developed in a feed-back process on successively adapted meshes. The new feature in this method when applied for least-squares finite element methods is the use of mesh-dependent duality arguments to guarantee optimal-order estimation of the stabilization terms,
Who reads A Posteriori Error Estimation in Least-squares Stabilized Finite Element Schemes?
It is typically read by researchers, students, and practitioners in Engineering.
- Author
- Rolf Rannacher
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0045-7825)
- Published
- 1998
- Language
- IT
- Field
- Engineering (Physical Sciences)