Support-Operator Finite-Difference Algorithms for General Elliptic Problems

1995 ◽  
Vol 118 (1) ◽  
pp. 131-151 ◽  
Author(s):  
Mikhail Shashkov ◽  
Stanly Steinberg
Keyword(s):  
Finite Difference ◽  
Elliptic Problems ◽  
General Elliptic

scholarly journals A two-level method for mimetic finite difference discretizations of elliptic problems

2015 ◽  
Vol 70 (11) ◽  
pp. 2674-2687 ◽  
Author(s):  
Paola F. Antonietti ◽  
Marco Verani ◽  
Ludmil Zikatanov
Keyword(s):  
Finite Difference ◽  
Elliptic Problems ◽  
Level Method

scholarly journals Normal solvability of general linear elliptic problems

2005 ◽  
Vol 2005 (7) ◽  
pp. 733-756 ◽  
Author(s):  
A. Volpert ◽  
V. Volpert
Keyword(s):  
Elliptic Problems ◽  
Unbounded Domains ◽  
General Linear ◽  
Bounded Domains ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Ellipticity Condition ◽  
Normal Solvability ◽  
General Elliptic ◽  
Necessary And Sufficient

The paper is devoted to general elliptic problems in the Douglis-Nirenberg sense. We obtain a necessary and sufficient condition of normal solvability in the case of unbounded domains. Along with the ellipticity condition, proper ellipticity and Lopatinsky condition that determine normal solvability of elliptic problems in bounded domains, one more condition formulated in terms of limiting problems should be imposed in the case of unbounded domains.

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