2019/12/11 by Stefano Berrone, Berrone, Stefano, Andrea Borio +3 · 1 citation
Engineering · Physics and Astronomy · #65N30 #65N50 #68U20 #86-08 #86A05 #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Scattering and Analysis #FOS: Mathematics #Numerical Analysis (math.NA) #Soil, Finite Element Methods
paper · pdf · doi:10.48550/arxiv.1912.05403
openalex publication_date 2019/12/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the discretization of differential problems on complex geometrical\ndomains, discretization methods based on polygonal and polyhedral elements are\npowerful tools. Adaptive mesh refinement for such kind of problems is very\nuseful as well and states new issues, here tackled, concerning good quality\nmesh elements and reliability of the simulations. In this paper we numerically\ninvestigate optimality with respect to the number of degrees of freedom of the\nnumerical solutions obtained by the different refinement strategies proposed. A\ngeometrically complex geophysical problem is used as test problem for several\ngeneral purpose and problem dependent refinement strategies.\n