

Botchev, M.A. and Faragó, I. and Horváth, R.
(2007)
Application of the operator splitting to the Maxwell equations with the source term.
Memorandum 1818,
Department of Applied Mathematics, University of Twente, Enschede.
ISSN 18744850
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Official URL: http://www.math.utwente.nl/publications AbstractMotivated by numerical solution of the timedependent Maxwell equations, we consider splitting methods for a linear system of differential equations split into two subproblems and First, expressions for the leading term of the local error are derived for the StrangMarchuk and the symmetrically weighted sequential splitting methods. The analysis, done in assumption that the subproblems are solved exactly, confirms the expected second order global accuracy of both schemes.
Second, several relevant numerical tests are performed for the Maxwell equations discretized in space either by finite differences or by finite elements. An interesting case is the splitting into the subproblems and (with the splitoff source term ). For the central finite difference staggered discretization, we consider second order splitting schemes and compare them to the classical Yee scheme on a test problem with loss and source terms. For the vector Nédélec finite element discretizations, we test the GautschiKrylov time integration scheme. Applied in combination with the splitoff source term, it leads to splitting schemes that are exact per split step. Thus, the time integration error of the schemes consists solely of the splitting error. Item Type:  Internal Report (Memorandum) 

Research Group:  EWIMACS: Mathematics of Computational Science 

Research Program:  IMPACTMechanics of Fluids and Solids, IMPACTGeneral, MESAGeneral 

Research Project:  BRICKS/MSV1.5: HpAdaptive Finite Element Methods for the Maxwell Equations, NWOOTKA: DutchHungarian collaboration project 

Additional Information:  Please note different possible spellings of the first author's name: "Botchev" or "Bochev" 

ID Code:  9206 

Deposited On:  05 March 2007 

More Information:  statisticsmetis 

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