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On the curvature of...
On the curvature of an inner curve in a Schwarz--Christoffel mapping
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- Andersson, Anders, 1957- (författare)
- Jönköping University,JTH, Matematik
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(creator_code:org_t)
- World Scientific, 2009
- 2009
- Engelska.
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Ingår i: Further Progress in Analysis. - : World Scientific. - 9789812837325 - 9812837329 ; , s. 281-290
- Relaterad länk:
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Abstract
Ämnesord
Stäng
- In the so called outer polygon method, an approximative conformal mapping for a given simply connected region Ω is constructed using a Schwarz–Christoffel mapping for an outer polygon, a polygonal region of which Ω is a subset. The resulting region is then bounded by a C∞-curve, which among other things means that its curvature is bounded.In this work, we study the curvature of an inner curve in a polygon, i.e., the image under the Schwarz–Christoffel mapping from R, the unit disk or upper half–plane, to a polygonal region P of a curve inside R. From the Schwarz–Christoffel formula, explicit expressions for the curvature are derived, and for boundary curves, appearing in the outer polygon method, estimations of boundaries for the curvature are given.
Ämnesord
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- Curvature
- Schwarz-Christtoffel mapping
- inner curve
- outer polygon
- Mathematical analysis
- Analys
Publikations- och innehållstyp
- ref (ämneskategori)
- kon (ämneskategori)
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