A posteriori error estimation and adaptive mesh refinement for reliable finite element solutions

The paper highlights the importance of reliability of finite element soluti ons in the context of acceptance of results by designers. The developments made in this direction by introducing the concept of a posteriori error est imation and adaptive mesh refinement for finite element analysis of structu res are presented. The paper discusses the scientific basis and details of formulations proposed by researchers along with an illustrative example. Th e contributions made by SERC, Madras in this area of research are also ment ioned. Future directions of research are also highlighted.