Interconnect and lumped elements modeling in interior penalty discontinuous Galerkin time-domain methods
type: Item
instance of: scholarly article
title: Interconnect and lumped elements modeling in interior penalty discontinuous Galerkin time-domain methods
zbMATH Open document ID: 1203.78051
author: Stylianos Dosopoulos
author: Jin-Fa Lee
published in: Journal of Computational Physics
publication date: 2010-11-05T00:00:00Z
review text: In the present paper, it is developed an interior penalty approach to derive DGTD methods. The proposed method employs a leap-frog scheme for time discretization. Additionally, the authors present a method to incorporate passive lumped elements such as resistors, capacitors, and inductors into the DGTD framework. For the proposed approach, the stability condition of the loaded case is the same as the one of the unloaded case. A numerical example is presented in the final part of this paper in order to validate the proposed approach.
reviewed by: Teodora-Liliana Rădulescu
Mathematics Subject Classification ID: 78M30
Mathematics Subject Classification ID: 78A25
Mathematics Subject Classification ID: 78A40
zbMATH DE Number: 5810904
zbMATH Keywords: discontinuous Galerkin
zbMATH Keywords: time-domain
zbMATH Keywords: lumped elements
zbMATH Keywords: electromagnetics
zbMATH Keywords: local time-stepping
MaRDI profile type: Publication
full work available at URL: j.jcp.2010.07.036
OpenAlex ID: W1977912322
cites work: An Interior Penalty Finite Element Method with Discontinuous Elements
cites work: Interior Penalty Discontinuous Galerkin Finite Element Method for the Time-Dependent First Order Maxwell's Equations
cites work: Convergence and stability of a discontinuous Galerkin time-domain method for the 3D heterogeneous Maxwell equations on unstructured meshes
cites work: Nodal high-order methods on unstructured grids. I: Time-domain solution of Maxwell's equations
cites work: Interior penalty method for the indefinite time-harmonic Maxwell equations
cites work: Time-domain finite-element methods
cites work: A non-overlapping domain decomposition method with non-matching grids for modeling large finite antenna arrays
cites work: Finite Element Methods for Maxwell's Equations
cites work: Dissipative terms and local time-stepping improvements in a spatial high order discontinuous Galerkin scheme for the time-domain Maxwell's equations
cites work: Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
cites work: A Domain Decomposition Method With Nonconformal Meshes for Finite Periodic and Semi-Periodic Structures
DOI: 10.1016/J.JCP.2010.07.036
description: scientific article; zbMATH DE number 5810904