An arbitrary order Reconstructed Discontinuous Approximation to Fourth-order Curl Problem
Numerical Analysis
2024-06-11 v1 Numerical Analysis
Abstract
We present an arbitrary order discontinuous Galerkin finite element method for solving the fourth-order curl problem using a reconstructed discontinuous approximation method. It is based on an arbitrarily high-order approximation space with one unknown per element in each dimension. The discrete problem is based on the symmetric IPDG method. We prove a priori error estimates under the energy norm and the L^2 norm and show numerical results to verify the theoretical analysis.
Cite
@article{arxiv.2406.05624,
title = {An arbitrary order Reconstructed Discontinuous Approximation to Fourth-order Curl Problem},
author = {Ruo Li and Qicheng Liu and Shuhai Zhao},
journal= {arXiv preprint arXiv:2406.05624},
year = {2024}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2305.03430