Adaptive Hybrid Finite Element/Difference method for Maxwell's equations: an a priory error estimate and efficiency
Journal article, 2010

In this work we extend our previous study where an explicit adaptive hybrid finite element/finite difference method was proposed for the numerical solution of Maxwell's equations in the time domain. Here we derive a priori error estimate in finite element method and present numerical examples where we indicate the rate of convergence of the hybrid method. We compare also hybrid finite element/finite difference method with pure finite element method and show that we devise an optimized method. In our three dimensional computations the hybrid approach is about 3 times faster than a corresponding highly optimized finite element method. We conclude that the hybrid approach may be an important tool to reduce the execution time and memory requirements for large scale computations.


Hybrid finite element/finite difference method


Error estimates

Adaptive finite element methods

Maxwell's equations


Larisa Beilina

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

Applied and Computational Mathematics

1683-3511 (ISSN)

Vol. 9 2 176-197

Subject Categories

Computational Mathematics

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