Matches in SemOpenAlex for { <https://semopenalex.org/work/W2783237710> ?p ?o ?g. }
Showing items 1 to 80 of
80
with 100 items per page.
- W2783237710 abstract "In this paper, we develop a structure-preserving discretization of the Lagrangian framework for electromagnetism, combining techniques from variational integrators and discrete differential forms. This leads to a general family of variational, multisymplectic numerical methods for solving Maxwell's equations that automatically preserve key symmetries and invariants. In doing so, we demonstrate several new results, which apply both to some well-established numerical methods and to new methods introduced here. First, we show that Yee's finite-difference time-domain (FDTD) scheme, along with a number of related methods, are multisymplectic and derive from a discrete Lagrangian variational principle. Second, we generalize the Yee scheme to unstructured meshes, not just in space but in 4-dimensional spacetime. This relaxes the need to take uniform time steps, or even to have a preferred time coordinate at all. Finally, as an example of the type of methods that can be developed within this general framework, we introduce a new asynchronous variational integrator (AVI) for solving Maxwell's equations. These results are illustrated with some prototype simulations that show excellent energy and conservation behavior and lack of spurious modes, even for an irregular mesh with asynchronous time stepping." @default.
- W2783237710 created "2018-01-26" @default.
- W2783237710 creator A5018631946 @default.
- W2783237710 creator A5022153785 @default.
- W2783237710 creator A5042762771 @default.
- W2783237710 creator A5064081913 @default.
- W2783237710 date "2007-07-30" @default.
- W2783237710 modified "2023-09-23" @default.
- W2783237710 title "Computational Electromagnetism with Variational Integrators and Discrete Differential Forms" @default.
- W2783237710 hasPublicationYear "2007" @default.
- W2783237710 type Work @default.
- W2783237710 sameAs 2783237710 @default.
- W2783237710 citedByCount "11" @default.
- W2783237710 countsByYear W27832377102012 @default.
- W2783237710 crossrefType "posted-content" @default.
- W2783237710 hasAuthorship W2783237710A5018631946 @default.
- W2783237710 hasAuthorship W2783237710A5022153785 @default.
- W2783237710 hasAuthorship W2783237710A5042762771 @default.
- W2783237710 hasAuthorship W2783237710A5064081913 @default.
- W2783237710 hasConcept C121332964 @default.
- W2783237710 hasConcept C134306372 @default.
- W2783237710 hasConcept C151319957 @default.
- W2783237710 hasConcept C2524010 @default.
- W2783237710 hasConcept C2776257435 @default.
- W2783237710 hasConcept C28826006 @default.
- W2783237710 hasConcept C31258907 @default.
- W2783237710 hasConcept C31487907 @default.
- W2783237710 hasConcept C33923547 @default.
- W2783237710 hasConcept C41008148 @default.
- W2783237710 hasConcept C52154503 @default.
- W2783237710 hasConcept C59282198 @default.
- W2783237710 hasConcept C62520636 @default.
- W2783237710 hasConcept C73000952 @default.
- W2783237710 hasConcept C79518650 @default.
- W2783237710 hasConcept C91748784 @default.
- W2783237710 hasConcept C9259290 @default.
- W2783237710 hasConceptScore W2783237710C121332964 @default.
- W2783237710 hasConceptScore W2783237710C134306372 @default.
- W2783237710 hasConceptScore W2783237710C151319957 @default.
- W2783237710 hasConceptScore W2783237710C2524010 @default.
- W2783237710 hasConceptScore W2783237710C2776257435 @default.
- W2783237710 hasConceptScore W2783237710C28826006 @default.
- W2783237710 hasConceptScore W2783237710C31258907 @default.
- W2783237710 hasConceptScore W2783237710C31487907 @default.
- W2783237710 hasConceptScore W2783237710C33923547 @default.
- W2783237710 hasConceptScore W2783237710C41008148 @default.
- W2783237710 hasConceptScore W2783237710C52154503 @default.
- W2783237710 hasConceptScore W2783237710C59282198 @default.
- W2783237710 hasConceptScore W2783237710C62520636 @default.
- W2783237710 hasConceptScore W2783237710C73000952 @default.
- W2783237710 hasConceptScore W2783237710C79518650 @default.
- W2783237710 hasConceptScore W2783237710C91748784 @default.
- W2783237710 hasConceptScore W2783237710C9259290 @default.
- W2783237710 hasLocation W27832377101 @default.
- W2783237710 hasOpenAccess W2783237710 @default.
- W2783237710 hasPrimaryLocation W27832377101 @default.
- W2783237710 hasRelatedWork W1514392632 @default.
- W2783237710 hasRelatedWork W1546510122 @default.
- W2783237710 hasRelatedWork W1656881549 @default.
- W2783237710 hasRelatedWork W1866369308 @default.
- W2783237710 hasRelatedWork W1989198497 @default.
- W2783237710 hasRelatedWork W1994516772 @default.
- W2783237710 hasRelatedWork W2145917168 @default.
- W2783237710 hasRelatedWork W2891086582 @default.
- W2783237710 hasRelatedWork W2891800178 @default.
- W2783237710 hasRelatedWork W2904532103 @default.
- W2783237710 hasRelatedWork W292702009 @default.
- W2783237710 hasRelatedWork W2955969013 @default.
- W2783237710 hasRelatedWork W3000780218 @default.
- W2783237710 hasRelatedWork W3080670400 @default.
- W2783237710 hasRelatedWork W3096721603 @default.
- W2783237710 hasRelatedWork W3106476834 @default.
- W2783237710 hasRelatedWork W3164504707 @default.
- W2783237710 hasRelatedWork W3197926616 @default.
- W2783237710 hasRelatedWork W583075529 @default.
- W2783237710 hasRelatedWork W983079248 @default.
- W2783237710 isParatext "false" @default.
- W2783237710 isRetracted "false" @default.
- W2783237710 magId "2783237710" @default.
- W2783237710 workType "article" @default.