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

Författare

Peter F G Hansbo

Chalmers, Tillämpad mekanik, Beräkningsteknik

Adaptive Finite Elements in Linear and Nonlinear Solid and Structural Mechanics

149-193

Ämneskategorier

Maskinteknik

Matematik

DOI

10.1007/3-211-38060-4_3

Mer information

Senast uppdaterat

2018-10-17