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In the hp adaptive Finite Element Method (FEM) applications, the computational mesh consists in finite elements with varying size h, and varying polynomial order of approximation p on finite element edges, faces and interiors. The parallel hp adaptive codes work on the computational domain partitioned into sub-domains with each of the sub-domains delegated to a single processor. The algorithm of parallel mesh refinements on such a distributed FE must enforce global mesh regularity rules. The paper presents the applications of multiple agents to implement the parallel mesh refinements algorithm. Agents work on distributed data structure storing FE mesh where dynamic mesh refinements are recorded by growing trees of initial mesh elements nodes. Agents located on separated sub-domains communicate in order to establish necessary actions on the distributed mesh.

The Application of Agents to Parallel Mesh Refinements in Domain Decomposition Based Parallel Fully Automatic hp Adaptive Finite Element Codes