Version 2.0 of provides major and essential new features in several of its modules: The mesh module provides extended support for adaptively refined meshes by means of the p4est library. Furthermore, pyramid elements are now supported for 3D geometries. The DoF/FEM modules now provide the ability for Discontinuous Galerkin (DG) discretizations. The linear algebra module ships with new solvers and preconditioners (Schur complement and energy-efficient geometric multigrid) as well as interfaces to further third-party libraries (Hypre, PETSc, SLEPc). Furthermore, new (parallel) matrix and vector implementations for Polynomal Chaos Expansion (PCE) based discretizations are available. Problems related to Uncertainty Quantification (UQ) for PDEs can be solved using these techniques. Finally, tools for goal oriented adaptivity are now available in the context of high performance computing.
The new features are documented in several new examples and tutorials.
New mesh module mesh_pXest: capable of local mesh refinement, based on p4est library
New mesh element: pyramid
Support for discontinuous Galerkin
Schur complement solver and preconditioner
Energy-efficient parallel geometric multigrid solver and preconditioner
Interfaces to Hypre, PETSc and SLEPc libraries
New linear algebra structure: matrix and vector structure for Polynomial Chaos Expansion
Tools for goal oriented adaptivity: patch interpolation, fe space interpolation, dynamic mesh handler
Aortic Blood Flow Simulation
Error Estimation on Convex Bent Domains for the Poisson Equation
The Heidelberg Institute for Theoretical Studies (HITS) was established in 2010 by the physicist and SAP co-founder Klaus Tschira (1940-2015) and the Klaus Tschira Foundation as a private, non-profit research institute. HITS conducts basic research in the natural sciences, mathematics and computer science, with a focus on the processing, structuring, and analyzing of large amounts of complex data and the development of computational methods and software. The research fields range from molecular biology to astrophysics. The shareholders of HITS are the HITS-Stiftung, which is a subsidiary of the Klaus Tschira Foundation, Heidelberg University and the Karlsruhe Institute of Technology (KIT). HITS also cooperates with other universities and research institutes and with industrial partners. The base funding of HITS is provided by the HITS Stiftung with funds received from the Klaus Tschira Foundation. The primary external funding agencies are the Federal Ministry of Education and Research (BMBF), the German Research Foundation (DFG), and the European Union.