Stability and Convergence Analysis of a Domain Decomposition FE/FD Method for Maxwell’s Equations in the Time Domain

What is it about?

A domain decomposition method: combined finite element (fine mesh) and finite difference convergence (coarse mesh) analysis and implementations for a model problem for the Maxwell equations in time domain. The model uses internal transfer edges, to define common regions where both FE and FD schemes are coincide.

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Why is it important?

It singles out the singularities and makes automatic FEM analysis, while the regions of regularity are treated by the finite difference avoiding over-refinements.