Martin Campos Pinto
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View article: Time-splitting methods for the cold-plasma model using finite element exterior calculus
Time-splitting methods for the cold-plasma model using finite element exterior calculus Open
View article: Bounded commuting projections for multipatch spaces with non-matching interfaces
Bounded commuting projections for multipatch spaces with non-matching interfaces Open
We present commuting projection operators on de Rham sequences of two-dimensional multipatch spaces with local tensor-product parametrization and non-matching interfaces. Our construction yields projection operators which are local and sta…
View article: A least Action principle for visco-resistive Hall Magnetohydrodynamic with metriplectic reformulation
A least Action principle for visco-resistive Hall Magnetohydrodynamic with metriplectic reformulation Open
We present a new variational formulation for Viscous and resistive Hall Magnetohydrodynamic. We first find a variational principle for ideal HMHD by applying the physical assumptions leading to HMHD at the lagrangian level, and then we add…
View article: Time-splitting methods for the cold-plasma model using Finite Element Exterior Calculus
Time-splitting methods for the cold-plasma model using Finite Element Exterior Calculus Open
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 utilizing B-Splines Finite Elements Exterior Calculus, we …
View article: The Linearized Vlasov-Maxwell System as a Hamiltonian System
The Linearized Vlasov-Maxwell System as a Hamiltonian System Open
View article: Variational discretizations of ideal magnetohydrodynamics in smooth regime using structure-preserving finite elements
Variational discretizations of ideal magnetohydrodynamics in smooth regime using structure-preserving finite elements Open
View article: On Variational Fourier Particle Methods
On Variational Fourier Particle Methods Open
In this article we describe a unifying framework for variational electromagnetic particle schemes of spectral type, and we propose a novel spectral Particle-In-Cell (PIC) scheme that preserves a discrete Hamiltonian structure. Our work is …
View article: Mass, momentum and energy preserving FEEC and broken-FEEC schemes for the incompressible Navier–Stokes equations
Mass, momentum and energy preserving FEEC and broken-FEEC schemes for the incompressible Navier–Stokes equations Open
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 an advection operator with explicit skew-symmetry in weak fo…
View article: Verification of the Fourier-enhanced 3D finite element Poisson solver of the gyrokinetic full-f code PICLS
Verification of the Fourier-enhanced 3D finite element Poisson solver of the gyrokinetic full-f code PICLS Open
View article: Variational discretizations of ideal magnetohydrodynamics in smooth regime using finite element exterior calculus
Variational discretizations of ideal magnetohydrodynamics in smooth regime using finite element exterior calculus Open
We propose a new class of finite element approximations to ideal compressible magnetohydrodynamic equations in smooth regime. Following variational approximations developed for fluid models in the last decade, our discretizations are built…
View article: Kinetic theory of motility induced phase separation for active Brownian particles
Kinetic theory of motility induced phase separation for active Brownian particles Open
When two active Brownian particles collide, they slide along each other until they can continue their free motion. For persistence lengths much larger than the particle diameter, the directors do not change, but the collision can be modele…
View article: Variational Discretizations of Ideal Magnetohydrodynamics in Smooth Regime Using Finite Element Exterior Calculus
Variational Discretizations of Ideal Magnetohydrodynamics in Smooth Regime Using Finite Element Exterior Calculus Open
View article: Splitting scheme for gyro-kinetic equations with Semi-Lagrangian and Arakawa substeps
Splitting scheme for gyro-kinetic equations with Semi-Lagrangian and Arakawa substeps Open
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-Lagrangian (SL) method and the Arakawa (AKW) scheme with a time-i…
View article: Geometric Particle-In-Cell discretizations of a plasma hybrid model with kinetic ions and mass-less fluid electrons
Geometric Particle-In-Cell discretizations of a plasma hybrid model with kinetic ions and mass-less fluid electrons Open
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-neutrality relation. The numerical schemes are derived by finite …
View article: Correction: A Broken FEEC Framework for Electromagnetic Problems on Mapped Multipatch Domains
Correction: A Broken FEEC Framework for Electromagnetic Problems on Mapped Multipatch Domains Open
View article: A Broken FEEC Framework for Electromagnetic Problems on Mapped Multipatch Domains
A Broken FEEC Framework for Electromagnetic Problems on Mapped Multipatch Domains Open
View article: Splitting scheme for gyro-kinetic equations with Semi-Lagrangian and Arakawa substeps
Splitting scheme for gyro-kinetic equations with Semi-Lagrangian and Arakawa substeps Open
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-Lagrangian (SL) method and the Arakawa (AKW) scheme with a time-i…
View article: Mass, momentum and energy preserving FEEC and broken-FEEC schemes for the incompressible Navier-Stokes equations
Mass, momentum and energy preserving FEEC and broken-FEEC schemes for the incompressible Navier-Stokes equations Open
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 an advection operator with explicit skew-symmetry in weak fo…
View article: Numerical tools for burning plasmas
Numerical tools for burning plasmas Open
The software stack under development within a European coordinated effort on tools for burning plasma modelling is presented. The project is organised as a Task (TSVV Task 10) under the new E-TASC initiative (Litaudon et al 2022 Plasma Phy…
View article: Geometric Particle-In-Cell discretizations of a plasma hybrid model with kinetic ions and mass-less fluid electrons
Geometric Particle-In-Cell discretizations of a plasma hybrid model with kinetic ions and mass-less fluid electrons Open
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-neutrality relation. The numerical schemes are derived by finite …
View article: Bounded commuting projections for multipatch spaces with non-matching interfaces
Bounded commuting projections for multipatch spaces with non-matching interfaces Open
We present commuting projection operators on de Rham sequences of two-dimensional multipatch spaces with local tensor-product parametrization and non-matching interfaces. Our construction yields projection operators which are local and sta…
View article: Verification of the Fourier-enhanced 3D finite element Poisson solver of the gyrokinetic full-f code PICLS
Verification of the Fourier-enhanced 3D finite element Poisson solver of the gyrokinetic full-f code PICLS Open
We introduce and derive the Fourier-enhanced 3D electrostatic field solver of the gyrokinetic full-f PIC code PICLS. The solver makes use of a Fourier representation in one periodic direction of the domain to make the solving of the system…
View article: A <b> <i>δf</i> </b> PIC method with forward–backward Lagrangian reconstructions
A <b> <i>δf</i> </b> PIC method with forward–backward Lagrangian reconstructions Open
In this work, we describe a δf particle simulation method where the bulk density is periodically remapped on a coarse spline grid using a forward–backward Lagrangian approach. This method is designed to handle plasma regimes where the dens…
View article: Verification of the Fourier-Enhanced 3d Finite Element Poisson Solver of the Gyrokinetic Full-F Code Picls
Verification of the Fourier-Enhanced 3d Finite Element Poisson Solver of the Gyrokinetic Full-F Code Picls Open
View article: A $δf$ PIC method with Forward-Backward Lagrangian reconstructions
A $δf$ PIC method with Forward-Backward Lagrangian reconstructions Open
In this work we describe a $δf$ particle simulation method where the bulk density is periodically remapped on a coarse spline grid using a Forward-Backward Lagrangian (FBL) approach. This method is designed to handle plasma regimes where t…
View article: A broken FEEC framework for electromagnetic problems on mapped multipatch domains
A broken FEEC framework for electromagnetic problems on mapped multipatch domains Open
We present a framework for the structure-preserving approximation of partial differential equations on mapped multipatch domains, extending the classical theory of finite element exterior calculus (FEEC) to discrete de Rham sequences which…
View article: Variational Framework for Structure-Preserving Electromagnetic Particle-in-Cell Methods
Variational Framework for Structure-Preserving Electromagnetic Particle-in-Cell Methods Open
View article: A variational sheath model for stationary gyrokinetic Vlasov–Poisson equations
A variational sheath model for stationary gyrokinetic Vlasov–Poisson equations Open
We construct a stationary gyrokinetic variational model for sheaths close to the metallic wall of a magnetized plasma, following a physical extremalization principle for the natural energy. By considering a reduced set of parameters we sho…
View article: Broken-FEEC discretizations and Hodge Laplace problems
Broken-FEEC discretizations and Hodge Laplace problems Open
This article studies structure-preserving discretizations of Hilbert complexes with nonconforming spaces that rely on projections onto an underlying conforming subcomplex. This approach follows the conforming/nonconforming Galerkin (CONGA)…
View article: $({\mathrm R},{\mathcal B})$-Multidimensional-almost automorphic functions with applications to integral and partial differential equations
$({\mathrm R},{\mathcal B})$-Multidimensional-almost automorphic functions with applications to integral and partial differential equations Open
In this paper, we analyze the classes of $({\mathrm R},{\mathcal B})$-multi-almost automorphic functions and asymptotically $({\mathrm R},{\mathcal B})$-multi-almost automorphic functions. We provide plenty valuable applications to the abs…