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H2Lib is an open source software library for hierarchical matrices and H²-matrices that is being developed in the Scientific Computing Group at Kiel University. It is intended as a successor to the popular HLib package that is no longer actively maintained.

H2Lib offers a state-of-the-art implementation of hierarchical matrix techniques, particularly

The library also contains application modules for finite element and boundary element methods in 2D and 3D.