74 citations · 122 across the 6 of their papers we have counts for
6 papers
A self-consistent Hamiltonian model of the ponderomotive force and its structure preserving discretization
William Barham, Yaman Güçlü, Philip J. Morrison +1
In the presence of an inhomogeneous oscillatory electric field, charged particles experience a net force, averaged over the oscillatory timescale, known as the ponderomotive force.…
A broken FEEC framework for electromagnetic problems on mapped multipatch domains
Yaman Güçlü, Said Hadjout, Martin Campos Pinto
We present a framework for the structure-preserving approximation of partial differential equations on mapped multipatch domains, extending the classical theory of finite element e…
Broken-FEEC discretizations and Hodge Laplace problems
Martin Campos-Pinto, Yaman Güçlü
This article studies structure-preserving discretizations of Hilbert complexes with nonconforming spaces that rely on projections onto an underlying conforming subcomplex. This app…
Arbitrarily high order Convected Scheme solution of the Vlasov-Poisson system
Yaman Güçlü, Andrew J. Christlieb, William N. G. Hitchon
The Convected Scheme (CS) is a `forward-trajectory' semi-Lagrangian method for solution of transport equations, which has been most often applied to the kinetic description of plas…
A high order cell-centered semi-Lagrangian scheme for multi-dimensional kinetic simulations of neutral gas flows
Yaman Güçlü, William N. G. Hitchon
The term `Convected Scheme' (CS) refers to a family of algorithms, most usually applied to the solution of Boltzmann's equation, which uses a method of characteristics in an integr…
High-order multiderivative time integrators for hyperbolic conservation laws
David C. Seal, Yaman Güçlü, Andrew J. Christlieb
Multiderivative time integrators have a long history of development for ordinary differential equations, and yet to date, only a small subset of these methods have been explored as…