Reyna: A minimal overhead polytopal discontinuous Galerkin finite element library
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| Natura: | Recurso digital |
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Zenodo
2026
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| _version_ | 1866901948962177024 |
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| author | Evans, Matthew Pryer, Tristan |
| author_facet | Evans, Matthew Pryer, Tristan |
| contents | <p dir="auto">Partial differential equations (PDEs) underpin much of engineering, physics and applied science, providing the basis for simulations across a wide range of physical and biological systems. Many high-performance numerical schemes are implemented in compiled languages, which deliver speed but at the cost of accessibility. These implementations are often difficult to adapt or extend, limiting rapid experimentation, the development of new methods and their use in training.</p> <p dir="auto">Reyna is a Python package for solving second-order PDEs with non-negative characteristic form using the polytopal discontinuous Galerkin finite element method (DGFEM). It offers a flexible and approachable workflow while avoiding the complexity and steep learning curve of HPC-focused codebases.</p> <p dir="auto">Reyna is designed with a modular structure and an optimised implementation aiming at balancing clarity with performance. It provides a practical platform for developing and testing finite element methods and for producing concise instructional examples, lowering the barrier to experimentation whilst retaining state-of-the-art numerical capability.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18339335 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Reyna: A minimal overhead polytopal discontinuous Galerkin finite element library Evans, Matthew Pryer, Tristan <p dir="auto">Partial differential equations (PDEs) underpin much of engineering, physics and applied science, providing the basis for simulations across a wide range of physical and biological systems. Many high-performance numerical schemes are implemented in compiled languages, which deliver speed but at the cost of accessibility. These implementations are often difficult to adapt or extend, limiting rapid experimentation, the development of new methods and their use in training.</p> <p dir="auto">Reyna is a Python package for solving second-order PDEs with non-negative characteristic form using the polytopal discontinuous Galerkin finite element method (DGFEM). It offers a flexible and approachable workflow while avoiding the complexity and steep learning curve of HPC-focused codebases.</p> <p dir="auto">Reyna is designed with a modular structure and an optimised implementation aiming at balancing clarity with performance. It provides a practical platform for developing and testing finite element methods and for producing concise instructional examples, lowering the barrier to experimentation whilst retaining state-of-the-art numerical capability.</p> |
| title | Reyna: A minimal overhead polytopal discontinuous Galerkin finite element library |
| url | https://doi.org/10.5281/zenodo.18339335 |