Emergent Mind
An arbitrary order Reconstructed Discontinuous Approximation to Fourth-order Curl Problem
(2406.05624)
Published Jun 9, 2024
in
math.NA
and
cs.NA
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 L2 norm and show numerical results to verify the theoretical analysis.
We're not able to analyze this paper right now due to high demand.
Please check back later (sorry!).
Generate a summary of this paper on our Pro plan:
We ran into a problem analyzing this paper.