Publication | Closed Access
Solving Maxwell's Equation in Meta-Materials by a CG-DG Method
23
Citations
23
References
2016
Year
Numerical AnalysisFinite Element MethodTemporal DiscretizationMethod Of Fundamental SolutionEngineeringPhysicsSemi-implicit MethodNumerical SimulationCg-dg MethodSpatial DiscretizationDg MethodComputational ElectromagneticsComputational MechanicsBoundary Element MethodElectromagnetic MetamaterialsNumerical Method For Partial Differential Equation
Abstract In this paper, an approach combining the DG method in space with CG method in time (CG-DG method) is developed to solve time-dependent Maxwell's equations when meta-materials are involved. Both the unconditional L 2 -stability and error estimate of order are obtained when polynomials of degree at most r is used for the temporal discretization and at most k for the spatial discretization. Numerical results in 3D are given to validate the theoretical results.
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