A new implicit hybridizable discontinuous Galerkin time-domain method for solving the 3-D electromagnetic problems
DOI10.1016/j.aml.2019.02.004zbMath1421.78025OpenAlexW2912862040WikidataQ128421466 ScholiaQ128421466MaRDI QIDQ1739459
Publication date: 26 April 2019
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2019.02.004
Maxwell's equationstime-domaindiscontinuous Galerkin time-domain methodimplicit time schemelocally refined meshes
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Iterative numerical methods for linear systems (65F10) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Electromagnetic theory (general) (78A25) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Preconditioners for iterative methods (65F08)
Related Items
Cites Work
- The CBiCG class of algorithms for complex symmetric linear systems with applications in several electromagnetic model problems
- A hybridizable discontinuous Galerkin method combined to a Schwarz algorithm for the solution of 3d time-harmonic Maxwell's equation
- Hybridizable discontinuous Galerkin methods for the time-harmonic Maxwell's equations
- An implicit leap-frog discontinuous Galerkin method for the time-domain Maxwell's equations in metamaterials
- Implicit time integration schemes for the unsteady compressible Navier-Stokes equations: Laminar flow
- Nested Krylov methods based on GCR
- Locally implicit time integration strategies in a discontinuous Galerkin method for Maxwell's equations
- Application of implicit-explicit high order Runge-Kutta methods to discontinuous-Galerkin schemes
- An implicit hybridized discontinuous Galerkin method for the 3D time-domain Maxwell equations
- Non-conformal and parallel discontinuous Galerkin time domain method for Maxwell's equations: EM analysis of IC packages
- Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
- A parallel block-preconditioned GCR method for incompressible flow problems