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"DTIC ADA427296: Non-Deteriorating Numerical Methods And Artificial Boundary Conditions For The Long-Term Integration Of Maxwell's Equations" and the language of the book is English.


“DTIC ADA427296: Non-Deteriorating Numerical Methods And Artificial Boundary Conditions For The Long-Term Integration Of Maxwell's Equations” Metadata:

  • Title: ➤  DTIC ADA427296: Non-Deteriorating Numerical Methods And Artificial Boundary Conditions For The Long-Term Integration Of Maxwell's Equations
  • Author: ➤  
  • Language: English

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  • Internet Archive ID: DTIC_ADA427296

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All the original objectives of the project have been addressed. Lacunae have been identified and studied theoretically in the solutions of the Maxwell's equations that govern the propagation of electromagnetic waves in vacuum. The case of acoustics has also been analyzed along the same lines. A lacunae-based numerical algorithm has been built for the long-term integration of the Maxwell's equations. Its key property is the grid convergence that is uniform in time; in other words, there is no error build-up during the integration over arbitrary long intervals. Lacunae-based artificial boundary conditions (ABCs) have also been constructed and tested; their actual performance fully meets the theoretical expectations. The corresponding results have been presented at scientific conferences and published in peer reviewed journals. New theoretical and numerical issues have also been discovered in the course of the project that were not known at the time of its inception. They have warranted the extension of the project by six months beyond its original expiration date. It turns out that implementation of the lacunae-based ABCs for the Maxwell's equations necessitates that special auxiliary field sources be used in the form of solenoidal currents and zero charges. Particular types of such sources have been analyzed and employed previously. A general procedure for their construction has been introduced and implemented at the most recent stage of the project. The results of this implementation will be reported in a forthcoming paper.

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  • Added Date: 2018-05-21 22:01:42
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