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Convergence analysi...
Convergence analysis of fully discrete finite volume methods for Maxwell's equations in nonhomogeneous media
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Chung, E. (author)
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- Engquist, Björn (author)
- Princeton University
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(creator_code:org_t)
- 2005
- 2005
- English.
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In: SIAM Journal on Numerical Analysis. - 0036-1429 .- 1095-7170. ; 43:1, s. 303-317
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Subject headings
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- We will consider both explicit and implicit fully discrete finite volume schemes for solving three-dimensional Maxwell's equations with discontinuous physical coefficients on general polyhedral domains. Stability and convergence for both schemes are analyzed. We prove that the schemes are second order accurate in time. Both schemes are proved to be first order accurate in space for the Voronoi-Delaunay grids and second order accurate for nonuniform rectangular grids. We also derive explicit expressions for the dependence on the physical parameters in all estimates.
Subject headings
- NATURVETENSKAP -- Data- och informationsvetenskap (hsv//swe)
- NATURAL SCIENCES -- Computer and Information Sciences (hsv//eng)
Keyword
- Convergence
- Finite volume
- Fully discrete
- Maxwell equations
- Stability
Publication and Content Type
- ref (subject category)
- art (subject category)
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