The Finite Element Method for a Degenerate Elliptic Equation

The Finite Element Method for a Degenerate Elliptic Equation

A class of second order degenerate elliptic boundary value problems is considered. Two different finite element formulations are studied and compared. Optimal order error estimates in weighted norms are proved and numerical results are presented.

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Veröffentlicht in:SIAM journal on numerical analysis 1987-08, Vol.24 (4), p.788-815
1. Verfasser: French, Donald A.
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Boundary conditions
Boundary value problems
Cauchy Schwarz inequality
Estimates
Exact sciences and technology
Finite element analysis
Finite element method
Integers
Interpolation
Mathematics
Norms
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations, miscellaneous problems
Real numbers
Rectangles
Sciences and techniques of general use
Uniqueness
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Beschreibung
Zusammenfassung:A class of second order degenerate elliptic boundary value problems is considered. Two different finite element formulations are studied and compared. Optimal order error estimates in weighted norms are proved and numerical results are presented.
ISSN:0036-1429
1095-7170
DOI:10.1137/0724051