8 citations · 16 across the 12 of their papers we have counts for
6 papers · 1 filter
Splitting scheme for gyro-kinetic equations with Semi-Lagrangian and Arakawa substeps
Dominik Bell, Martin Campos Pinto, Davor Kumozec +3
The gyro-kinetic model is an approximation of the Vlasov-Maxwell system in a strongly magnetized magnetic field. We propose a new algorithm for solving it combining the Semi-Lagran…
Mass, momentum and energy preserving FEEC and broken-FEEC schemes for the incompressible Navier-Stokes equations
Valentin Carlier, Martin Campos Pinto, Francesco Fambri
In this article we propose two finite element schemes for the Navier-Stokes equations, based on a reformulation that involves differential operators from the de Rham sequence and a…
Geometric Particle-In-Cell discretizations of a plasma hybrid model with kinetic ions and mass-less fluid electrons
Yingzhe Li, Martin Campos Pinto, Florian Holderied +2
We explore the possibilities of applying structure-preserving numerical methods to a plasma hybrid model with kinetic ions and mass-less fluid electrons satisfying the quasi-neutra…
Bounded commuting projections for multipatch spaces with non-matching interfaces
Martin Campos Pinto, Frederik Schnack
We present commuting projection operators on de Rham sequences of two-dimensional multipatch spaces with local tensor-product parametrization and non-matching interfaces. Our const…
Multilevel Preconditioning of Discontinuous-Galerkin Spectral Element Methods, Part I: Geometrically Conforming Meshes
Kolja Brix, Martin Campos Pinto, Claudio Canuto +1
This paper is concerned with the design, analysis and implementation of preconditioning concepts for spectral Discontinuous Galerkin discretizations of elliptic boundary value prob…
Smooth particle methods without smoothing
Martin Campos Pinto
We present a new class of particle methods with deformable shapes that converge in the uniform norm without requiring remappings, extended overlapping or vanishing moments for the…