Inverted finite elements for degenerate and radial elliptic problems in unbounded domains

This paper is the second in a series devoted to the development of inverted finite element method for elliptic problems in unbounded domains. Here, focus is on degenerate elliptic equations having singular or/and unbounded coefficients. A specific emphasis is being placed on radial solutions of seco...

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Veröffentlicht in:Japan journal of industrial and applied mathematics 2015-03, Vol.32 (1), p.237-261
Hauptverfasser: Boulmezaoud, T. Z., Mziou, S., Boudjedaa, B., Babatin, M. M.
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Sprache:eng
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Zusammenfassung:This paper is the second in a series devoted to the development of inverted finite element method for elliptic problems in unbounded domains. Here, focus is on degenerate elliptic equations having singular or/and unbounded coefficients. A specific emphasis is being placed on radial solutions of second order elliptic equations. After giving an exposition of the fundamentals of the method and proving its convergence, we display some computational tests which demonstrate its efficiency.
ISSN:0916-7005
1868-937X
DOI:10.1007/s13160-015-0169-5