Energy stable nodal DG methods for Maxwell's equations of mixed-order form in nonlinear optical media

DOI10.1007/S42967-022-00212-2MaRDI QIDQ6537175

V. A. Bokil, Maohui Lyu, Yingda Cheng, Fengyan Li

Publication date: 14 May 2024

Published in: Communications on Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

Maxwell's equationsdiscontinuous Galerkin methodenergy stabilityKerr and Raman

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) 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) Parallel numerical computation (65Y05) Lasers, masers, optical bistability, nonlinear optics (78A60)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Parallel, adaptive finite element methods for conservation laws
• Comparison between staggered and unstaggered finite-difference time-domain grids for few-cycle temporal optical soliton propagation
• High spatial order energy stable FDTD methods for Maxwell's equations in nonlinear optical media in one dimension
• Energy stable discontinuous Galerkin methods for Maxwell's equations in nonlinear optical media
• A parallel \(hp\)-adaptive discontinuous Galerkin method for hyperbolic conservation laws
• Energy stable nodal discontinuous Galerkin methods for nonlinear Maxwell's equations in multi-dimensions
• Interpolatory HDG method for parabolic semilinear PDEs
• An efficient vector finite element method for nonlinear electromagnetic modeling

Related Items (1)

Nodal discontinuous Galerkin methods for Maxwell's equations in Lorentz-Kerr-Raman medium without nonlinear algebraic solver

This page was built for publication: Energy stable nodal DG methods for Maxwell's equations of mixed-order form in nonlinear optical media

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6537175)