Browsing Preprints aus dem Institut für Mathematik by Subject "finite methods"

Now showing items 1-3 of 3

2005-03-10Buch

A Posteriori Dual-Mixed Adaptive Finite Element Error Control for Lamé and Stokes Equations

Carstensen, Carsten; Causin, Paola; Sacco, Riccardo

A unified and robust mathematical model for compressible and incompressible linear elasticity can be obtained by rephrasing the Herrmann formulation within the Hellinger-Reissner principle. This quasi-optimally converging ...
2005-11-02Buch

Error Reduction And Convergence For An Adaptive Mixed Finite Element Method

Carstensen, Carsten; Hoppe, Ronald H.W.

An adaptive mixed finite element method (AMFEM) is designed to guarantee an error reduction, also known as saturation property: After each refinement step, the error for the fine mesh is strictly smaller than the error for ...
2005-04-08Buch

Framework For The A Posteriori Error Analysis Of Nonconforming Finite Elements

Carstensen, Carsten; Hu, Jun; Orlando, Antonio

This paper establishes a unified framework for the a posteriori error analysis of a large class of nonconforming finite element methods. The theory assures reliability and efficiency of explicit residual error estimates ...