Application of multi-agent paradigm to hp-adaptive projection-based interpolation operator

In this paper we discuss applications and design of the agent-based, hp-adaptive projection-based interpolation (PBI) operator. We describe the use of mesh adaptation process to produce a faithful representation of an input image in the Finite Element (FE) space. This can be used, in turn, to generate from the input bitmap continuous material functions required for further FE computations. We propose an agent-based architecture suitable for localized implementation of the PBI operator. Finally, we show how to apply it to an exemplary problem of austenite–ferrite phase transformation.

► We present the idea of projection-based interpolation operator. ► We introduce agent-based, self-adaptive FEM solving platform. ► We study sample input image and its approximation results (proof of concept).