Application of Agent-based Approach for Multiscale hp-adaptive Finite Element Method

The aim of this work is to investigate prospective benefits of employing the idea agents for solving differential equations with hp-adaptive Finite Element Method (hp-FEM). Object-oriented model developed previously, was now translated to the language of agents along with the use of an agent-oriented parallel frontal equation solver (based on the Schur complement concept). In our paper we present the architecture and algorithms that stay behind great elasticity, wide applicability and fair responsiveness to a changing environment. We discuss interesting problems that arose, like methods to facilitate load balancing to the platform. Finally, in reference to our previous multi-scale works, the way of incorporating molecular nano-scale methods into the agent-oriented hp-FEM is discussed. To illustrate the above considerations, we use an exemplary linear elasticity problem of a non-uniform material.