A note on error analysis for a nonconforming discretisation of the tri-Helmholtz equation with singular data
Numerical Analysis
2021-01-13 v1 Numerical Analysis
Abstract
We apply the nonconforming discretisation of Wu and Xu (2019) to the tri-Helmholtz equation on the plane where the source term is a functional evaluating the test function on a one-dimensional mesh-aligned embedded curve. We present error analysis for the convergence of the discretisation and linear convergence as a function of mesh size is recovered almost everywhere away from the embedded curve which aligns with classic regularity theory.
Keywords
Cite
@article{arxiv.2101.04181,
title = {A note on error analysis for a nonconforming discretisation of the tri-Helmholtz equation with singular data},
author = {Andreas Bock and Colin Cotter},
journal= {arXiv preprint arXiv:2101.04181},
year = {2021}
}