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- W2079508557 abstract "In recent years, two important techniques for geometric numerical discretization have been developed. In computational electromagnetics, spatial discretization has been improved by the use of mixed finite elements and discrete differential forms. Simultaneously, the dynamical systems and mechanics communities have developed structure-preserving time integrators, notably variational integrators that are constructed from a Lagrangian action principle. Here, we discuss how to combine these two frameworks to develop variational spacetime integrators for Maxwell's equations. Extending our previous work, which first introduced this variational perspective for Maxwell's equations without sources, we also show here how to incorporate free sources of charge and current." @default.
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- W2079508557 date "2008-01-01" @default.
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- W2079508557 title "Variational Integrators for Maxwell's Equations with Sources" @default.
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- W2079508557 doi "https://doi.org/10.2529/piers071019000855" @default.
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