https://github.com/felgru/dune-dpg
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https://github.com/felgru/dune-dpg
discontinuous-petrov-galerkin finite-element-methods finite-elements
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mirror of dune-dpg's Git repository
- Host: GitHub
- URL: https://github.com/felgru/dune-dpg
- Owner: felgru
- License: other
- Created: 2018-07-11T12:40:18.000Z (over 7 years ago)
- Default Branch: master
- Last Pushed: 2024-11-18T18:59:59.000Z (about 1 year ago)
- Last Synced: 2024-12-27T00:24:46.141Z (about 1 year ago)
- Topics: discontinuous-petrov-galerkin, finite-element-methods, finite-elements
- Language: C++
- Homepage: https://gitlab.dune-project.org/felix.gruber/dune-dpg
- Size: 2.51 MB
- Stars: 0
- Watchers: 3
- Forks: 0
- Open Issues: 0
-
Metadata Files:
- Readme: README.md
- Changelog: CHANGELOG.md
- License: COPYING
Awesome Lists containing this project
README
Description
===========
This folder contains the sources of the dune-dpg library, which allows to
solve Partial Differential Equations with Discontinuous Petrov-Galerkin
finite elements. It is built upon the finite element package Dune. For
further information on the dune-dpg library, we refer to the paper
[The dune-dpg library for solving PDEs with Discontinuous Petrov-Galerkin
finite elements](http://dx.doi.org/10.11588/ans.2017.1.27719)
by F. Gruber, A. Klewinghaus and O. Mula.
For build instruction see the accompanying [INSTALL.md](INSTALL.md) file.
See [doc/experiments.md](doc/experiments.md) for explanations on how to
run the example programs bundled with dune-dpg.
If you are interested in an API documentation of dune-dpg, see the
instructions in section [Generating API documentation with Doxygen]
(INSTALL.md#generating-api-documentation-with-doxygen) in
the [INSTALL.md](INSTALL.md) file.
Required Software and Libraries
===============================
Additional to the Dune libraries, you'll need the following programs and
libraries installed on your system:
- Programs:
- a fully C++17-compatible compiler and standard library (e.g. GCC >= 9)
- cmake >= 3.1
- Libraries:
- Boost >= 1.63
(Boost versions as low as 1.61, which introduced Boost::Hana, might
work but have not been tested.)
- Eigen >= 3.2
(http://eigen.tuxfamily.org)
- UMFPACK (which is part of Suitesparse, www.suitesparse.com)
- DUNE core libraries 2.8
including the staging modules dune-typetree and dune-functions
(https://dune-project.org/releases/2.8.0/)
- A grid manager. Our examples use dune-uggrid
(https://www.dune-project.org/modules/dune-uggrid/)
but one could also use other managers, e.g., ALBERTA or YASPgrid.
(https://dune-project.org/groups/grid/)
- for the plot_solution and the ASTI programs, you will also need
dune-subgrid (>= 2.7)
(https://gitlab.dune-project.org/extensions/dune-subgrid)
Instructions on how to build dune-dpg can be found in [INSTALL.md](INSTALL.md).
Descriptions of our example programs and how to use them to reproduce
published results can be found in the file
[doc/experiments.md](doc/experiments.md).
Citing dune-dpg
===============
If you use dune-dpg in your own scientific work, please consider
citing our [overview paper](http://dx.doi.org/10.11588/ans.2017.1.27719)
([PDF](http://journals.ub.uni-heidelberg.de/index.php/ans/article/download/27719/29543)).
Here's the BibTeX data for the paper:
```bibtex
@Article{GKM2017,
author = {Felix Gruber and Angela Klewinghaus and Olga Mula},
title = {The {DUNE-DPG} Library for Solving {PDE}s with {Discontinuous Petrov--Galerkin} Finite Elements},
journal = {Archive of Numerical Software},
year = {2017},
volume = {5},
number = {1},
pages = {111--128},
doi = {10.11588/ans.2017.1.27719},
keywords = {discontinuous Petrov-Galerkin; partial differential equations; inf-sup stability; transport equation; finite elements; DUNE},
}
```
If you are using our ASTI implementation for radiative transfer problems,
please also consider citing
[Felix’ thesis](http://dx.doi.org/10.18154/RWTH-2018-230893)
([PDF](https://publications.rwth-aachen.de/record/750850/files/750850.pdf))
and our [Math. Comp. paper](http://dx.doi.org/10.1090/mcom/3505)
([arXiv preprint](https://arxiv.org/abs/1810.07035v2)).
The BibTeX entries for these are:
```bibtex
@PhdThesis{Gruber2018,
author = {Felix Gruber},
title = {Adaptive Source Term Iteration: A Stable Formulation for Radiative Transfer},
school = {RWTH Aachen University},
year = {2018},
doi = {10.18154/RWTH-2018-230893},
keywords = {DPG transport solver; fast application of scattering operator; iteration in function space},
}
@Article{DGM2020,
author = {Wolfgang Dahmen and Felix Gruber and Olga Mula},
title = {An Adaptive Nested Source Term Iteration for Radiative Transfer Equations},
journal = {Mathematics of Computation},
year = {2020},
doi = {10.1090/mcom/3505},
keywords = {DPG transport solver, iteration in function space, fast application of scattering operator, Hilbert–Schmidt decomposition, matrix compression},
}
```
If you are using other Dune modules, you might find the corresponding
papers [here](https://dune-project.org/about/publications/).
License
=======
Licensing information for dune-dpg can be found in the accompanying file
[COPYING](COPYING).