Three lectures on error estimation and adaptivity
Kapitel i bok, 2005
In the first Section, we consider global control of the discretization error in time and space-time using finite element methods in both space and time. The approach we use gives the opportunity for adaptive control of general functionals based on residualtype a posteriori error estimates. In the second Section we apply the general theory to model problems in elasto-plasticity. We consider both the Hencky total deformation theory and the Prandtl-Reuss quasi-static theory, including load step control. Finally, in the third Section, we review some standard techniques for generating meshes, and for handling local mesh refinement.
plasticity
Adaptivity
mesh generation
ordinary differential equations