IMEX and exact sequence discretization of the multi-fluid plasma model

DOI10.1016/j.jcp.2019.05.052zbMath1453.76081OpenAlexW2963092802MaRDI QIDQ2222478

Eric C. Cyr, Sean T. Miller, John N. Shadid, R. P. Pawlowski, Sidafa Conde, Richard M. J. Kramer, Edward G. Phillips

Publication date: 27 January 2021

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://www.osti.gov/biblio/1559495

zbMATH Keywords

finite element methodsIMEXexact sequence discretizationsmultifluid plasma

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Applications to the sciences (65Z05) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (6)

An implicit monolithic AFC stabilization method for the CG finite element discretization of the fully-ionized ideal multifluid electromagnetic plasma system ⋮ Entropy-preserving and entropy-stable relaxation IMEX and multirate time-stepping methods ⋮ Structure-Preserving Finite-Element Schemes for the Euler-Poisson Equations ⋮ A hybridizable discontinuous Galerkin formulation for the Euler-Maxwell plasma model ⋮ Monolithic Multigrid Methods for Magnetohydrodynamics ⋮ EMPIRE-PIC: A Performance Portable Unstructured Particle-in-Cell Code

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stable finite element methods preserving \(\nabla \cdot \boldsymbol{B}=0\) exactly for MHD models
• A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
• Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation
• Performance of fully-coupled algebraic multigrid preconditioners for large-scale VMS resistive MHD
• Magnetohydrodynamics. Transl. from the French by A. F. Wright, typeset by C. Philippe
• Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
• Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
• Divergence correction techniques for Maxwell solvers based on a hyperbolic model
• Hyperbolic divergence cleaning for the MHD equations
• A blended continuous-discontinuous finite element method for solving the multi-fluid plasma model
• IMEX extensions of linear multistep methods with general monotonicity and boundedness properties
• Scalable implicit incompressible resistive MHD with stabilized FE and fully-coupled Newton-Krylov-AMG
• Implicit-explicit schemes for BGK kinetic equations
• A New Approximate Block Factorization Preconditioner for Two-Dimensional Incompressible (Reduced) Resistive MHD
• Finite elements in computational electromagnetism
• Globalization Techniques for Newton–Krylov Methods and Applications to the Fully Coupled Solution of the Navier–Stokes Equations
• Monolithic Multigrid Methods for Two-Dimensional Resistive Magnetohydrodynamics
• Hybrid Krylov Methods for Nonlinear Systems of Equations
• Whitney Forms of Higher Degree
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
• Scalable Preconditioners for Structure Preserving Discretizations of Maxwell Equations in First Order Form
• Implicit-Explicit Runge--Kutta Schemes for Hyperbolic Systems and Kinetic Equations in the Diffusion Limit
• A Block Preconditioner for an Exact Penalty Formulation for Stationary MHD
• An Algebraic Multigrid Approach Based on a Compatible Gauge Reformulation of Maxwell's Equations
• A Discontinuous Galerkin Method for Ideal Two-Fluid Plasma Equations
• Robust Solvers for Maxwell's Equations with Dissipative Boundary Conditions
• Toward an h-Independent Algebraic Multigrid Method for Maxwell's Equations

This page was built for publication: IMEX and exact sequence discretization of the multi-fluid plasma model