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arXiv · 2408.08840

ideal.II: a Galerkin Space-Time Extension to the Finite Element Library deal.II

Jan Philipp Thiele
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Abstract

The C++ library deal.II provides classes and functions to solve stationary problems with finite elements on one- to threedimensional domains. It also supports the typical way to solve time-dependent problems using time-stepping schemes, either with an implementation by hand or through the use of external libraries like SUNDIALS. A different approach is the usage of finite elements in time as well, which results in space-time finite element schemes. The library ideal.II (short for instationary deal.II) aims to extend deal.II to simplify implementations of the second approach.

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Jan Philipp Thiele. 2024-08-16. ideal.II: a Galerkin Space-Time Extension to the Finite Element Library deal.II. https://arxiv.org/abs/2408.08840

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