Abstract
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.
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Boulmezaoud, T.Z., Mziou, S., Boudjedaa, B. et al. Inverted finite elements for degenerate and radial elliptic problems in unbounded domains. Japan J. Indust. Appl. Math. 32, 237–261 (2015). https://doi.org/10.1007/s13160-015-0169-5
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DOI: https://doi.org/10.1007/s13160-015-0169-5
Keywords
- Inverted finite elements (IFEM)
- Unbounded domains
- Degenerate elliptic equation
- Radial solutions
- Weighted spaces