The hybrid high-order method for polytopal meshes

DA Di Pietro, J Droniou - Number 19 in Modeling, Simulation and …, 2020 - Springer
Originally introduced in [146, 158], Hybrid High-Order (HHO) methods provide a framework
for the discretisation of models based on Partial Differential Equations (PDEs) with features …

A volume PEEC formulation based on the cell method for electromagnetic problems from low to high frequency

R Torchio - IEEE Transactions on Antennas and Propagation, 2019 - ieeexplore.ieee.org
A new and general partial element equivalent circuit (PEEC) formulation based on electric
and magnetic vector potentials and the cell method is presented. The purpose of this paper …

[图书][B] Elektromagnetische Feldtheorie

G Lehner - 2010 - Springer
Das internationale Einheitensystem (SI–Système international d'unités) wurde 2019 einer
grundlegenden Reform unterzogen. Alle Basiseinheiten werden nun auf sieben …

Hybrid modeling: towards the next level of scientific computing in engineering

S Kurz, H De Gersem, A Galetzka, A Klaedtke… - Journal of Mathematics …, 2022 - Springer
The integration of machine learning (Keplerian paradigm) and more general artificial
intelligence technologies with physical modeling based on first principles (Newtonian …

A review of some geometric integrators

D Razafindralandy, A Hamdouni, M Chhay - Advanced Modeling and …, 2018 - Springer
Some of the most important geometric integrators for both ordinary and partial differential
equations are reviewed and illustrated with examples in mechanics. The class of …

Why starting from differential equations for computational physics?

E Tonti - Journal of Computational Physics, 2014 - Elsevier
The computational methods currently used in physics are based on the discretization of
differential equations. This is because the computer can only perform algebraic operations …

[HTML][HTML] Top-down metacomputing with algebraic dimensionality raising for automating theory-building to enable directly computable multiphysics models

JG Michopoulos, NA Apetre, JC Steuben… - Journal of …, 2023 - Elsevier
The need to address the fundamental issues associated with the computational model
generation process in the context of multiphysics theories that observe conservation laws …

Fully discrete polynomial de Rham sequences of arbitrary degree on polygons and polyhedra

DA Di Pietro, J Droniou, F Rapetti - Mathematical Models and …, 2020 - World Scientific
In this work, merging ideas from compatible discretisations and polyhedral methods, we
construct novel fully discrete polynomial de Rham sequences of arbitrary degree on …

[HTML][HTML] Diffusion in multi-dimensional solids using Forman's combinatorial differential forms

K Berbatov, PD Boom, AL Hazel, AP Jivkov - Applied Mathematical …, 2022 - Elsevier
The formulation of combinatorial differential forms, proposed by Forman for analysis of
topological properties of discrete complexes, is extended by defining metric-dependent …

Optimized cycle basis in volume integral formulations for large scale eddy-current problems

D Voltolina, R Torchio, P Bettini, R Specogna… - Computer physics …, 2021 - Elsevier
Abstract We present a Volume Integral formulation for the solution of large scale eddy-
current problems coupled with low-rank approximation techniques. Two alternative …