Approximation of Periodic PDE Solutions with Anisotropic Translation Invariant Spaces
Numerical Analysis
2018-12-10 v1
Abstract
We approximate the quasi-static equation of linear elasticity in translation invariant spaces on the torus. This unifies different FFT-based discretisation methods into a common framework and extends them to anisotropic lattices. We analyse the connection between the discrete solution spaces and demonstrate the numerical benefits. Finite element methods arise as a special case of periodised Box spline translates.
Keywords
Cite
@article{arxiv.1705.00879,
title = {Approximation of Periodic PDE Solutions with Anisotropic Translation Invariant Spaces},
author = {Ronny Bergmann and Dennis Merkert},
journal= {arXiv preprint arXiv:1705.00879},
year = {2018}
}