Mathematics and numerics for balance partial differential-algebraic equations (pdaes)

W Lambert, A Alvarez, I Ledoino, D Tadeu… - Journal of Scientific …, 2020 - Springer
We study systems of partial differential-algebraic equations (PDAEs) of first order. Classical
solutions of the theory of hyperbolic partial differential equation such as discontinuities …

A stabilized circuit-consistent foil conductor model

E Paakkunainen, J Bundschuh, IC Garcia… - IEEE …, 2023 - ieeexplore.ieee.org
The magnetoquasistatic simulation of large power converters, in particular transformers,
requires efficient models for their foils windings by means of homogenization techniques …

MONA—A magnetic oriented nodal analysis for electric circuits

V Shashkov, I Cortes Garcia… - International Journal of …, 2022 - Wiley Online Library
The modified nodal analysis (MNA) is probably the most widely used formulation for the
modeling and simulation of electric circuits. Its conventional form uses electric node …

Dynamic iteration schemes and port‐Hamiltonian formulation in coupled differential‐algebraic equation circuit simulation

M Günther, A Bartel, B Jacob… - International Journal of …, 2021 - Wiley Online Library
Electric circuits are usually described by charge/flux‐oriented modified nodal analysis. Here,
we derive models as port‐Hamiltonian systems on several levels: overall systems, multiply …

Multirate schemes—an answer of numerical analysis to a demand from applications

A Bartel, M Günther - Novel Mathematics Inspired by Industrial Challenges, 2022 - Springer
In science and engineering, simulation tasks often involve numerical time integration of
differential equations. Usually, these systems contain different time constants of the involved …

Operator splitting based dynamic iteration for linear differential-algebraic port-Hamiltonian systems

A Bartel, M Günther, B Jacob, T Reis - Numerische Mathematik, 2023 - Springer
A dynamic iteration scheme for linear differential-algebraic port-Hamiltonian systems based
on Lions–Mercier-type operator splitting methods is developed. The dynamic iteration is …

PETSc DMNetwork: A library for scalable network pde-based multiphysics simulations

S Abhyankar, G Betrie, DA Maldonado… - ACM Transactions on …, 2020 - dl.acm.org
We present DMNetwork, a high-level package included in the PETSc library for the
simulation of multiphysics phenomena over large-scale networked systems. The library aims …

A stabilized circuit-consistent foil conductor model

E Paakkunainen, J Bundschuh, IC Garcia… - arXiv preprint arXiv …, 2023 - arxiv.org
The magnetoquasistatic simulation of large power converters, in particular transformers,
requires efficient models for their foils windings by means of homogenization techniques. In …

Hybrid Parallel Collaborative Simulation Framework Integrating Device Physics with Circuit Dynamics for PDAE-Modeled Power Electronic Equipment

Q Shi, C Zhuang, J Liu, B Lin, X Peng, D Wu… - arXiv preprint arXiv …, 2025 - arxiv.org
Optimizing high-performance power electronic equipment, such as power converters,
requires multiscale simulations that incorporate the physics of power semiconductor devices …

GivEn—Shape optimization for gas turbines in volatile energy networks

J Backhaus, M Bolten, O Tanil Doganay… - … and Optimization for …, 2021 - Springer
This paper describes the project GivEn that develops a novel multiobjective optimization
process for gas turbine blades and vanes using modern “adjoint” shape optimization …