fenicsR13: A Tensorial Mixed Finite Element Solver for the Linear R13 Equations Using the FEniCS Computing Platform
- Lambert Theisen, M. Torrilhon
- Computer ScienceACM Transactions on Mathematical Software
- 12 July 2020
A new tensorial approach utilizing the extension capabilities of FEniCS's Unified Form Language (UFL) to define required differential operators for tensors above second degree, and serves as an example for the implementation of tensorial variational formulations in FeniCS.
fenicsR13
- Lambert Theisen, M. Torrilhon
- Computer Science
- 20 April 2021
A new tensorial approach utilizing the extension capabilities of FEniCS’ Unified Form Language to define required differential operators for tensors above second degree, and serves as an example for implementing tensorial variational formulations in FeniCS.
An Optimal Factorization Preconditioner for Periodic Schrödinger Eigenstates in Anisotropically Expanding Domains
- B. Stamm, Lambert Theisen
- MathematicsSIAM Journal on Numerical Analysis
- 28 October 2021
It is proved that the easy-to-calculate limit eigenvalue can be used in a shift-and-invert preconditioning strategy to bound the number of eigensolver iterations uniformly.