Skip to content

Add pointers to higher-order time-stepping schemes #560

New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

Sign up for GitHub

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

Closed
wants to merge 9 commits into from
Closed

Add pointers to higher-order time-stepping schemes #560

Changes from 5 commits
Commits
Show all changes
9 commits
Select commit Hold shift + click to select a range
10b017e
Add pointers to higher-order time-stepping schemes
BenjaminRodenberg Aug 30, 2024
93fb21e
Update partitioned-heat-conduction/README.md
BenjaminRodenberg Aug 30, 2024
656a4d7
Update partitioned-heat-conduction/README.md
BenjaminRodenberg Aug 30, 2024
b9f74e6
Update partitioned-heat-conduction/README.md
BenjaminRodenberg Aug 30, 2024
46fd28d
Update README.md
BenjaminRodenberg Aug 30, 2024
ef053e0
Update partitioned-heat-conduction/README.md
BenjaminRodenberg Oct 19, 2024
2fdbb0a
Merge branch 'develop' into add-pointer-higher-order-time-stepping
BenjaminRodenberg Oct 19, 2024
a449a97
Update heat_pySDC.py
BenjaminRodenberg Oct 19, 2024
9f92b39
Update heat_pySDC.py
BenjaminRodenberg Oct 19, 2024
File filter

Filter by extension

Filter by extension
Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
4 changes: 3 additions & 1 deletion partitioned-heat-conduction/README.md
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -31,7 +31,7 @@ preCICE configuration (image generated using the [precice-config-visualizer](htt

You can either couple a solver with itself or different solvers with each other. In any case you will need to have preCICE and the python bindings installed on your system.

* FEniCS. Install [FEniCS](https://fenicsproject.org/download/) and the [FEniCS-adapter](https://github.com/precice/fenics-adapter). The code is largely based on this [fenics-tutorial](https://github.com/hplgit/fenics-tutorial/blob/master/pub/python/vol1/ft03_heat.py) from [1].
* FEniCS. Install [FEniCS](https://fenicsproject.org/download/) and the [FEniCS-adapter](https://github.com/precice/fenics-adapter). The code is largely based on this [fenics-tutorial](https://github.com/hplgit/fenics-tutorial/blob/master/pub/python/vol1/ft03_heat.py) from [1]. In `fenics-solver`, You can find alternative versions of the solver, offering higher-order time-stepping schemes: `heatHigherOrder.py` offers higher-order implicit Runge Kutta schemes [4], and `heat_pySDC.py` offers spectral deferred correction methods and pySDC [5]. (Hint: use `./run.sh irk` or `./run.sh sdc`)

* Nutils. Install [Nutils](https://nutils.org/install-nutils.html).

Expand Down Expand Up @@ -87,3 +87,5 @@ Visualization in paraview for `x_c = 1.5`.
[1] Hans Petter Langtangen and Anders Logg. "Solving PDEs in Minutes-The FEniCS Tutorial Volume I." (2016). [pdf](https://fenicsproject.org/pub/tutorial/pdf/fenics-tutorial-vol1.pdf)
[2] Azahar Monge and Philipp Birken. "Convergence Analysis of the Dirichlet-Neumann Iteration for Finite Element Discretizations." (2016). Proceedings in Applied Mathematics and Mechanics. [doi](https://doi.org/10.1002/pamm.201610355)
[3] Benjamin Rüth, Benjamin Uekermann, Miriam Mehl, Philipp Birken, Azahar Monge, and Hans Joachim Bungartz. "Quasi-Newton waveform iteration for partitioned surface-coupled multiphysics applications." (2020). International Journal for Numerical Methods in Engineering. [doi](https://doi.org/10.1002/nme.6443)
[4] Niklas Vinnitchenko. "Evaluation of Higher-Order Coupling Schemes with FEniCS-preCICE." (2024). Bachelor's thesis at Technical University of Munich. [online](https://mediatum.ub.tum.de/1732367)
[5] Thesis Tobias Eppacher, "TODO" (2024). Bachelor's thesis at Technical University of Munich. [url](TODO)