Variational, stable, and self-consistent coupling of 3D electromagnetics to 1D transmission lines in the time domain

DOI10.1016/j.jcp.2021.110856OpenAlexW3215663037MaRDI QIDQ2134780

Timothy Pointon, David Sirajuddin, Duncan McGregor, Edward G. Phillips

Publication date: 3 May 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2021.110856

zbMATH Keywords

Lagrange multipliersfinite element methodsMaxwell's equationscode verificationcircuit couplingtransmission line coupling

Mathematics Subject Classification ID

Numerical linear algebra (65Fxx) Numerical methods for ordinary differential equations (65Lxx) General topics in optics and electromagnetic theory (78Axx)

Uses Software

• RODAS
• Kokkos
• EMPIRE-PIC

Cites Work

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• Diagonally implicit Runge-Kutta methods for stiff ODEs
• Dirichlet boundary value correction using Lagrange multipliers
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• The mimetic finite difference method for elliptic problems
• Numerical solution of saddle point problems
• Mixed and Hybrid Finite Element Methods
• A Note on Preconditioning for Indefinite Linear Systems
• Scalable Preconditioners for Structure Preserving Discretizations of Maxwell Equations in First Order Form
• Finite Element Methods for Maxwell's Equations
• EMPIRE-PIC: A Performance Portable Unstructured Particle-in-Cell Code
• An Algebraic Multigrid Approach Based on a Compatible Gauge Reformulation of Maxwell's Equations

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