Adaptive hp-FEM with dynamical meshes for transient heat and moisture transfer problems
The authors present a novel space-time adaptive hp-FEM algorithm based on dynamical meshes and equipped with adaptive control of the time step. The method is higher-order accurate and adaptive in both space and time, and it is capable of approximating both physical fields, the temperature and the moisture, on individual meshes that can evolve in time independently of each other. Despite this the discretization is monolithic and no operator splitting takes place. The multimesh hp-FEM was more efficient than the standard (single-mesh) hp-FEM.
scientific article; zbMATH DE number 5688833
scientific article