PDAEs in Refined Electrical Network Modeling

DOI10.1137/17M1113643zbMath1382.65282MaRDI QIDQ3133143

Andreas Bartel, Michael Günther

Publication date: 13 February 2018

Published in: SIAM Review (Search for Journal in Brave)

zbMATH Keywords

numerical examplemodelingheat equationMaxwell's equationssemidiscretizationcoupled systemstelegrapher's equationpartial differential-algebraic equationsdynamic iterationcosimulationelectric networksdrift diffusionmagnetoquasistaticssimulation of electric circuits

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Heat equation (35K05) Partial functional-differential equations (35R10) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (4)

On the Generation of Curvilinear Meshes Through Subdivision of Isoparametric Elements ⋮ Operator splitting based dynamic iteration for linear differential-algebraic port-Hamiltonian systems ⋮ GivEn -- shape optimization for gas turbines in volatile energy networks ⋮ Mathematics and numerics for balance partial differential-algebraic equations (PDAEs)

Uses Software

• RODAS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Differential-algebraic equations. A projector based analysis
• Index-2 elliptic partial differential-algebraic models for circuits and devices
• Structural analysis of electrical circuits including magnetoquasistatic devices
• Model and numerical techniques for the alarm system of river Rhine
• Differential-algebraic equations in vehicle system dynamics
• An existence result for elliptic partial differential-algebraic equations arising in semiconductor modeling
• PDAE models of integrated circuits
• The Coulomb gauged vector potential formulation for the eddy-current problem in general geometry: well-posedness and numerical approximation
• CAD-based electric-circuit modeling in industry. I: Mathematical structure and index of network equations
• Deformation and failure in metallic materials
• Topological index calculation of differential-algebraic equations in circuit simulation
• The modeling and numerical simulation of gas flow networks
• On the convergence rate of dynamic iteration for coupled problems with multiple subsystems
• Index Concepts for Linear Mixed Systems of Differential-Algebraic and Hyperbolic-Type Equations
• An Existence Result for Index-2 PDAE System Arising in Semiconductor Modeling
• Winding functions in transient magnetoquasistatic field-circuit coupled simulations
• Elliptic Partial Differential-Algebraic Multiphysics Models in Electrical Network Design
• Existence and Uniqueness for an Elliptic PDAE Model of Integrated Circuits
• From Multibody Dynamics to Multidisciplinary Applications
• PDAE models of integrated circuits and index analysis
• Structural analysis of electric circuits and consequences for MNA
• Dynamical iteration schemes for coupled simulation in nanoelectronics
• DAEs in Circuit Modelling: A Survey
• A Unified (P)DAE Modeling Approach for Flow Networks
• Convergence of Waveform Relaxation Methods for Differential-Algebraic Systems
• Dynamic Iteration for Coupled Problems of Electric Circuits and Distributed Devices
• Parabolic Differential-Algebraic Models in Electrical Network Design
• Preconditioned dynamic iteration for coupled differential-algebraic systems
• Coupling between lumped and distributed models for blood flow problems.

This page was built for publication: PDAEs in Refined Electrical Network Modeling