3 papers
math.NA2025
A broken-FEEC framework for structure-preserving discretizations of polar domains with tensor-product splines
Yaman Güçlü, Francesco Patrizi, Martin Campos Pinto
We propose a novel projection-based approach to derive structure-preserving Finite Element Exterior Calculus (FEEC) discretizations using standard tensor-product splines on domains…
math.NA2025
Time-splitting methods for the cold-plasma model using Finite Element Exterior Calculus
Elena Moral Sánchez, Martin Campos Pinto, Yaman Güçlü +1
In this work we propose a high-order structure-preserving discretization of the cold plasma model which describes the propagation of electromagnetic waves in magnetized plasmas. By…
physics.comp-ph2024
A Hamiltonian structure-preserving discretization of Maxwell's equations in nonlinear media
William Barham, Yaman Güçlü, Philip J. Morrison +1
A simple Hamiltonian modeling framework for general models in nonlinear optics is given. This framework is specialized to describe the Hamiltonian structure of electromagnetic phen…