Von Neumann stability analysis of DG-like and P\(N\)P\(M\)-like schemes for PDEs with globally curl-preserving evolution of vector fields
DOI10.1007/s42967-021-00166-xOpenAlexW4205850886WikidataQ114216652 ScholiaQ114216652MaRDI QIDQ2163476
Dinshaw S. Balsara, Roger Käppeli
Publication date: 10 August 2022
Published in: Communications on Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.09678
Finite volume methods applied to problems in fluid mechanics (76M12) Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Magnetohydrodynamics and electrohydrodynamics (76W05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)
Uses Software
Cites Work
- Unnamed Item
- A hyperbolic model for viscous Newtonian flows
- Multidimensional HLLC Riemann solver for unstructured meshes -- with application to Euler and MHD flows
- Multidimensional Riemann problem with self-similar internal structure. I: Application to hyperbolic conservation laws on structured meshes
- Three dimensional HLL Riemann solver for conservation laws on structured meshes; application to Euler and magnetohydrodynamic flows
- Conservative models and numerical methods for compressible two-phase flow
- Multidimensional Riemann problem with self-similar internal structure. Part II: Application to hyperbolic conservation laws on unstructured meshes
- Continuum mechanics and thermodynamics in the Hamilton and the Godunov-type formulations
- A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
- Hyperbolic systems of thermodynamically compatible conservation laws in continuum mechanics.
- Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
- An efficient class of WENO schemes with adaptive order
- A model and numerical method for compressible flows with capillary effects
- Von Neumann stability analysis of globally divergence-free RKDG schemes for the induction equation using multidimensional Riemann solvers
- Multidimensional Riemann problem with self-similar internal structure. Part III: A multidimensional analogue of the HLLI Riemann solver for conservative hyperbolic systems
- Non-linear evolution using optimal fourth-order strong-stability-preserving Runge-Kutta methods
- Efficient implementation of weighted ENO schemes
- On high order ADER discontinuous Galerkin schemes for first order hyperbolic reformulations of nonlinear dispersive systems
- A structure-preserving staggered semi-implicit finite volume scheme for continuum mechanics
- Globally constraint-preserving FR/DG scheme for Maxwell's equations at all orders
- On GLM curl cleaning for a first order reduction of the CCZ4 formulation of the Einstein field equations
- Multidimensional HLLE Riemann solver: application to Euler and magnetohydrodynamic flows
- Von Neumann stability analysis of globally constraint-preserving DGTD and PNPM schemes for the Maxwell equations using multidimensional Riemann solvers
- A two-dimensional Riemann solver with self-similar sub-structure - alternative formulation based on least squares projection
- High order ADER schemes for a unified first order hyperbolic formulation of continuum mechanics: viscous heat-conducting fluids and elastic solids
- An analysis of and a comparison between the discontinuous Galerkin and the spectral finite volume methods
- A two-dimensional HLLC Riemann solver for conservation laws: application to Euler and magnetohydrodynamic flows
- Globally divergence-free DG scheme for ideal compressible MHD
- Strong Stability-Preserving High-Order Time Discretization Methods
- The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
- L2stability analysis of the central discontinuous Galerkin method and a comparison between the central and regular discontinuous Galerkin methods
- Total-Variation-Diminishing Time Discretizations
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods
- Extended Lagrangian approach for the defocusing nonlinear Schrödinger equation
This page was built for publication: Von Neumann stability analysis of DG-like and P\(N\)P\(M\)-like schemes for PDEs with globally curl-preserving evolution of vector fields
