A DPG method for the quad-curl problem
We derive an ultraweak variational formulation of the quad-curl problem in two and three
dimensions. We present a discontinuous Petrov–Galerkin (DPG) method for its …
dimensions. We present a discontinuous Petrov–Galerkin (DPG) method for its …
The grad-div conforming virtual element method for the quad-div problem in three dimensions
X Dong, Y Han, Y Huang - arXiv preprint arXiv:2410.18375, 2024 - arxiv.org
We propose a new stable variational formulation for the quad-div problem in three
dimensions and prove its well-posedness. Using this weak form, we develop and analyze …
dimensions and prove its well-posedness. Using this weak form, we develop and analyze …
Métodos DPG para el problema quad-curl
PH Ortiz - 2024 - search.proquest.com
Relevant problems from magnetohydrodynamics and electromagnetic scattering use
fourthorder differential operators of rotation type, generally denoted as quad-curl operators …
fourthorder differential operators of rotation type, generally denoted as quad-curl operators …
[PDF][PDF] A DPG Method for the Quad-div Problem
P Herrera - minres.mat.uc.cl
Lemma (A. Ern, T. Gudi, I. Smears and M. Vohralík, 2021) Let RT 0 (T)={c⃗x+(a, b) t∶ a, b,
c∈ R, ⃗x∈ R2}. Exist J∶ H (div, T)→ RT 0 (T) with div○ J= Π0○ div and∥ J v∥ T≲∥ v∥ …
c∈ R, ⃗x∈ R2}. Exist J∶ H (div, T)→ RT 0 (T) with div○ J= Π0○ div and∥ J v∥ T≲∥ v∥ …
A DPG METHOD FOR THE QUAD-DIV PROBLEM
ABSTRACT The Quad-Div problem is related to the Quad-Curl problem in two dimensions.
This kind of problems arise in several engineering and science problems, such as magneto …
This kind of problems arise in several engineering and science problems, such as magneto …