dune-vem 2.10.dev20231013

Implementation of a number of virtual element spaces and bilinear forms

DUNE-FEM

DUNE-VEM is a Distributed and Unified Numerics Environment module which provides implementation of a range of virtual element spaces. It is based on the interfaces defined in DUNE-FEM. In addition to the C++ implementation and extensive Python interface is provided.

If you need help, please ask on our mailinglist. Bugs can also be submitted to the DUNE-VEM bugtracker instead.

Tutorial

The general DUNE-FEM tutorial based on the Python bindings includes a number of examples showcasing the DUNE-VEM module.

Installation

Using pip

DUNE-VEM can be installed using the Package Index of Python (pip).

pip install dune-vem

See https://dune-project.org/doc/installation-pip/ for a more detailed description.

From source

For a full explanation of the DUNE installation process please read the installation notes.

When using the main branch observe the build status to make sure you get a working version.

Dependencies

DUNE-VEM requires a recent C++ compiler (e.g. g++ or clang), cmake, pkg-config (see DUNE installation for details) and depends on the following DUNE modules:

• dune-common

• dune-geometry

• dune-grid

• dune-fem

The following DUNE modules are suggested:

• dune-istl

• dune-localfunctions

• dune-alugrid

• dune-spgrid

The following software is optional:

• PETSc

• SIONlib

• SuiteSparse

License

The DUNE-VEM library, headers and test programs are free open-source software, licensed under version 2 or later of the GNU General Public License.

See the file LICENSE for full copying permissions.

References

A detailed description of DUNE-FEM can be found in

• A. Dedner, A. Hodson. A framework for implementing general virtual * element space. https://arxiv.org/abs/2208.08978

• A. Dedner, R. Klöfkorn, M. Nolte, and M. Ohlberger. A Generic Interface for Parallel and Adaptive Scientific Computing: Abstraction Principles and the DUNE-FEM Module. Computing, 90(3-4):165--196, 2010. http://dx.doi.org/10.1007/s00607-010-0110-3

• A. Dedner, R. Klöfkorn, and M. Nolte. Python Bindings for the DUNE-FEM module. Zenodoo, 2020 http://dx.doi.org/10.5281/zenodo.3706994

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