This article surveys a general approach to error control and adaptive mesh design in
Galerkin finite element methods that is based on duality principles as used in optimal …

These Lecture Notes have been compiled from the material presented by the second author
in a lecture series ('Nachdiplomvorlesung') at the Department of Mathematics of the ETH …

A refined approach to residual-based error control in finite element (FE) discretizations is
presented. The conventional strategies for adaptive mesh refinement in FE methods are …

The solution of elliptic boundary value problems may have anisotropic behaviour in parts of
the domain. That means that the solution varies signicantly only in certain directions …

We present a variant of the classical weighted least-squares stabilization for the Stokes
equations. Compared to the original formulation, the new method has improved accuracy …

The conventional strategy for controlling the error in nite element (FE) methods is based on
a posteriori estimates for the error in the global energy or L2 norm involving local residuals …

Die meisten technisch–wissenschaftlichen Problemstellungen und reale Ingenieuraufgaben
gehören genau genommen zur Gruppe sogenannter Mehrfeld–Probleme. Eine bedeutsame …

These notes are based on lectures given in a Short Course on Theoretical and Numerical
Fluid Mechanics in Vancouver, British Columbia, Canada, July 27–28, 1996, and at several …

The paper deals with a non-conforming finite element method on a class of anisotropic
meshes. The Crouzeix-Raviart element is used on triangles and tetrahedra. For rectangles …

Recently a refined approach to error control in finite element (FE) discretisations has been
proposed, Becker and Rannacher (1995b),(1996), which uses weighted a posteriori error …