ideal.II: a Galerkin Space-Time Extension to the Finite Element Library deal.II
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917751478550528 |
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| author | Thiele, Jan Philipp |
| author_facet | Thiele, Jan Philipp |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2408_08840 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | ideal.II: a Galerkin Space-Time Extension to the Finite Element Library deal.II Thiele, Jan Philipp Numerical Analysis Mathematical Software 35-04, 65-04, 65M60, 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. |
| title | ideal.II: a Galerkin Space-Time Extension to the Finite Element Library deal.II |
| topic | Numerical Analysis Mathematical Software 35-04, 65-04, 65M60, |
| url | https://arxiv.org/abs/2408.08840 |