A polyhedral discrete de Rham numerical scheme for the Yang-Mills equations
DOI10.1016/j.jcp.2023.111955OpenAlexW4318718386MaRDI QIDQ2687523
Jia Jia Qian, Jérôme Droniou, Todd Andrew Oliynyk
Publication date: 7 March 2023
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.12009
stabilityYang-Mills equationsconstraint preservationdiscrete de Rham methoddiscrete polytopal complex
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Partial differential equations of mathematical physics and other areas of application (35Qxx)
Cites Work
- A hybridizable discontinuous Galerkin method for the Navier-Stokes equations with pointwise divergence-free velocity field
- Charge-conserving hybrid methods for the Yang-Mills equations
- A discrete de Rham method for the Reissner-Mindlin plate bending problem on polygonal meshes
- An arbitrary-order method for magnetostatics on polyhedral meshes based on a discrete de Rham sequence
- Arbitrary-order pressure-robust DDR and VEM methods for the Stokes problem on polyhedral meshes
- HHO methods for the incompressible Navier-Stokes and the incompressible Euler equations
- The hybrid high-order method for polytopal meshes. Design, analysis, and applications
- An arbitrary-order discrete de Rham complex on polyhedral meshes: exactness, Poincaré inequalities, and consistency
- Geometric Numerical Integration
- A remedy for constraint growth in numerical relativity: the Maxwell case
- Fully discrete polynomial de Rham sequences of arbitrary degree on polygons and polyhedra
- Constraint Preserving Schemes for Some Gauge Invariant Wave Equations
- Algebraic stability analysis of constraint propagation
- A Family of Three-Dimensional Virtual Elements with Applications to Magnetostatics
- Einstein’s equations with asymptotically stable constraint propagation
- The Hitchhiker's Guide to the Virtual Element Method
- On Constraint Preservation in Numerical Simulations of Yang--Mills Equations
- Constraint damping in the Z4 formulation and harmonic gauge
- Homological- and analytical-preserving serendipity framework for polytopal complexes, with application to the DDR method
This page was built for publication: A polyhedral discrete de Rham numerical scheme for the Yang-Mills equations
