Search Results - "Campos Pinto, Martin"
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Moment Preserving Local Spline Projection Operators
Published in Constructive approximation (01-06-2020)“…This article describes an elementary construction of a dual basis for nonuniform B-splines that is local, L ∞ -stable, and reproduces polynomials of any…”
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Gauss-compatible Galerkin schemes for time-dependent Maxwell equations
Published in Mathematics of computation (01-11-2016)“…In this article we propose a unified analysis for conforming and non-conforming finite element methods that provides a partial answer to the problem of…”
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Convergence of a linearly transformed particle method for aggregation equations
Published in Numerische Mathematik (2018)“…We study a linearly transformed particle method for the aggregation equation with smooth or singular interaction forces. For the smooth interaction forces, we…”
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A semi-implicit electromagnetic FEM-PIC scheme with exact energy and charge conservation
Published in Journal of computational physics (15-03-2022)“…•Energy-conserving semi-implicit method (ECSIM) of Lapenta is revisited.•Key improvement provided by explicit charge-conserving PIC current…”
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Mass, momentum and energy preserving FEEC and broken-FEEC schemes for the incompressible Navier–Stokes equations
Published in IMA journal of numerical analysis (18-08-2024)“…In this article we propose two finite-element schemes for the Navier–Stokes equations, based on a reformulation that involves differential operators from the…”
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Geometric Particle-In-Cell discretizations of a plasma hybrid model with kinetic ions and mass-less fluid electrons
Published in Journal of computational physics (01-02-2024)Get full text
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Foreword to the proceedings of the Cemracs 2014
Published in ESAIM. Proceedings and surveys (01-03-2016)Get full text
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On Variational Fourier Particle Methods
Published in Journal of scientific computing (01-12-2024)“…In this article we describe a unifying framework for variational electromagnetic particle schemes of spectral type, and we propose a novel spectral…”
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Variational Framework for Structure-Preserving Electromagnetic Particle-in-Cell Methods
Published in Journal of scientific computing (01-05-2022)“…In this article we apply a discrete action principle for the Vlasov–Maxwell equations in a structure-preserving particle-field discretization framework. In…”
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Electromagnetic PIC simulations with smooth particles: a numerical study
Published in ESAIM. Proceedings and surveys (01-03-2016)“…In this article we study a charge-conserving finite-element particle scheme for the Maxwell-Vlasov system that is based on a div-conforming representation of…”
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Towards Smooth Particle Methods Without Smoothing
Published in Journal of scientific computing (01-10-2015)“…In this article we present a new class of particle methods which aim at being accurate in the uniform norm with a minimal amount of smoothing. The crux of our…”
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UNIFORM CONVERGENCE OF A LINEARLY TRANSFORMED PARTICLE METHOD FOR THE VLASOV-POISSON SYSTEM
Published in SIAM journal on numerical analysis (01-01-2016)“…A particle method with linear transformation of the particle shape functions is studied for the 1d-1v Vlasov-Poisson equation, and a priori error estimates are…”
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Splitting scheme for gyro-kinetic equations with Semi-Lagrangian and Arakawa substeps
Published in ESAIM. Proceedings and surveys (2024)“…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…”
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14
Handling the divergence constraints in Maxwell and Vlasov–Maxwell simulations
Published in Applied mathematics and computation (01-01-2016)“…The aim of this paper is to review and classify the different methods that have been developed to enable stable long time simulations of the Vlasov–Maxwell…”
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Degenerate elliptic equations for resonant wave problems
Published in IMA journal of applied mathematics (28-02-2020)“…Abstract The modelling of resonant waves in 2D plasma leads to the coupling of two degenerate elliptic equations with a smooth coefficient $\alpha $ and…”
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Noiseless Vlasov–Poisson simulations with linearly transformed particles
Published in Journal of computational physics (15-10-2014)“…We introduce a deterministic discrete-particle simulation approach, the Linearly-Transformed Particle-In-Cell (LTPIC) method, that employs linear deformations…”
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Multilevel preconditioning of discontinuous Galerkin spectral element methods. Part I: geometrically conforming meshes
Published in IMA journal of numerical analysis (01-10-2015)Get full text
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A MULTILEVEL PRECONDITIONER FOR THE INTERIOR PENALTY DISCONTINUOUS GALERKIN METHOD
Published in SIAM journal on numerical analysis (01-01-2008)“…In this article we present a multilevel preconditioner for interior penalty discontinuous Galerkin discretizations of second order elliptic boundary value…”
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19
Convergence of an adaptive semi-Lagrangian scheme for the Vlasov-Poisson system
Published in Numerische Mathematik (01-01-2008)“…An adaptive semi-Lagrangian scheme for solving the Cauchy problem associated to the periodic 1+1-dimensional Vlasov-Poisson system in the two- dimensional…”
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Correction: A Broken FEEC Framework for Electromagnetic Problems on Mapped Multipatch Domains
Published in Journal of scientific computing (01-12-2023)Get full text
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