Adaptive Hybrid Finite Element/Difference method for Maxwell's equations: an a priory error estimate and efficiency

• In this work we extend our previous study where anexplicit adaptive hybrid finite element/finite difference method wasproposed for the numerical solution of Maxwell's equations in the timedomain. Here we derive a priori error estimate in finite elementmethod and present numerical examples where we indicate the rate ofconvergence of the hybrid method. We compare also hybrid finiteelement/finite difference method with pure finite element method andshow that we devise an optimized method. In our three dimensionalcomputations the hybrid approach is about 3 times faster than acorresponding highly optimized finite element method. We conclude thatthe hybrid approach may be an important tool to reduce the executiontime and memory requirements for large scale computations.

Ämnesord

NATURVETENSKAP  -- Matematik -- Beräkningsmatematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Computational Mathematics (hsv//eng)

Nyckelord

Reliability

Hybrid finite element/finite difference method

Efficiency

Error estimates

Adaptive finite element methods

Maxwell's equations

Adaptive finite element methods; Efficiency; Error estimates; Hybrid finite element/finite difference method; Maxwell's equations; Reliability

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