English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

This paper proposes a finite element method for solving the periodicsteady-state problem for the scalar-valued and vector-valued Poisson equations,a simple reduction model of the Maxwell equations under the Coulomb gauge.Introducing a new potential variable, we reformulate two systems composed ofthe scalar-valued and vector-valued Poisson problems to a single Hodge-Laplaceproblem for the 1-form in $\mathbb{R}^4$ using the standard de Rham complex.Consequently, we can directly apply the Finite Element Exterior Calculus (FEEC)theory in $\mathbb{R}^4$ to deduce the well-posedness, stability, andconvergence. Numerical examples using the cubical element are reported tovalidate the theoretical results.

A finite element method to a periodic steady-state problem for an electromagnetic field system using the space-time finite element exterior calculus