Rapid prototyping for polytopal methods: the first 10 years of DiSk++
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Polygonal finite element methods are nowadays a prominent and con- solidated technology in the discretization of partial differential equations (PDEs). The huge effort expended in the last 20 years exploring this topic yielded a multitude of polytopal discretization schemes; among them we cite the Hybrid Discontinuous Galerkin (HDG) method, the Virtual Element Method (VEM), the Compatible Discrete Operator and Discrete Geometric Approach schemes (CDO, DGA), the Hybrid High-Order method (HHO) and the Weak Galerkin method (WG). DiSk++ is an open-source software library that provides an abstrac- tion layer allowing programmers to focus on the method they want to imple- ment, without being distracted by the low level details related to geometry handling, integration and so on necessary for polytopal methods. In this talk we will review the structure of DiSk++ and will discuss the developments done in its first 10 years, in order to showcase its capabilities as a rapid prototyping environment for polytopal discretizations.