Browsing Preprints aus dem Institut für Mathematik by Author "Bartels, Sören"

Now showing items 1-3 of 3

2006-01-01Buch

A convergent adaptive finite element method for an optimal design problem

Bartels, Sören; Carstensen, Carsten

Abstract. The optimal design problem for maximal torsion stiffness of an infinite bar of given geometry and unknown distribution of two materials of prescribed amounts is one model example in topology optimisation. It ...
2011-08-11Buch

Discontinuous Galerkin Finite Element Convergence for Incompressible Miscible Displacement Problems of Low Regularity

Bartels, Sören; Jensen, Max; Müller, Rüdiger

In this article we analyse the numerical approximation of incompressible miscible displacement problems with a combined mixed finite element and discontinuous Galerkin method under minimal regularity assumptions. The main ...
2011-08-11Buch

Error Controlled Local Resolution of Evolving Interfaces for Generalized Cahn-Hilliard Equations

Bartels, Sören; Müller, Rüdiger

For phase field equations of generalized Cahn-Hilliard type, we present an a posteriori error analysis that is robust with respect to a small interface length scale which enters the model as a regularizing parameter. By ...