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Multiscale Methods and Energy Stable Discretizations for Maxwell’s Equations in Linearand Nonlinear Materials

Creator:

Sakkaplangkul, Puttha

Abstract:

In this dissertation, we introduce a family of fully discrete finite difference time-domain (FDTD) methods for Maxwell’s equations in linear and nonlinear materials. Onecategory of methods is constructed using multiscale techniques involving operator splittings. We present the sequential splitting scheme, the Strang Marchuk splitting scheme,the weighted sequential splitting scheme including...

Resource Type:

Dissertation

Full Text:

operator splitting schemes based on energy techniques for Maxwell’s equations in linear non-dispersive and