Locking-free adaptive mixed finite element methods in linear elasticity

Mixed finite element methods such as PEERS or the BDMS methods are designed to avoid locking for nearly incompressible materials in plane elasticity. In this paper, we establish a robust adaptive mesh-refining algorithm that ii rigorously based on a reliable and efficient a posteriori error estimate , Numerical evidence is: provided for the lambda -independence of the const ants in the a posteriori error bounds and for the efficiency of the adaptiv e mesh-refining algorithm proposed. (C) 2000 Elsevier Science B.V. All righ ts reserved.