scholarly journals A second order, non-linear elliptic boundary value problem with generalized Goursat data

1966 ◽  
Vol 72 (1) ◽  
pp. 325-341 ◽  
Author(s):  
A. K. Aziz ◽  
R. P. Gilbert ◽  
H. C. Howard
Keyword(s):  
Boundary Value Problem ◽  
Elliptic Boundary ◽  
Boundary Value ◽  
Second Order ◽  
Elliptic Boundary Value Problem ◽  
Elliptic Boundary Value ◽  
Non Linear ◽  
Linear Elliptic Boundary

An elliptic boundary value problem for strongly non-linear equations in unbounded domains

1977 ◽  
Vol 77 (3-4) ◽  
pp. 217-230 ◽  
Author(s):  
Vesa Mustonen
Keyword(s):  
Boundary Value Problem ◽  
Elliptic Boundary ◽  
Boundary Value ◽  
Linear Equations ◽  
Unbounded Domains ◽  
Elliptic Boundary Value Problem ◽  
Elliptic Boundary Value ◽  
Non Linear ◽  
Linear Elliptic Boundary ◽  
Non Linear Equations

SynopsisThe existence of a variational solution is shown for the strongly non-linear elliptic boundary value problem in unbounded domains. The proof is a generalisation to Orlicz-Sobolev space setting of the idea introduced in [15] for the equations involving polynomial non-linearities only.

Superconvergence Recovery for the Gradient of the Trilinear Finite Element

2011 ◽  
Vol 268-270 ◽  
pp. 1021-1024
Author(s):  
Jing Hong Liu ◽  
De Cheng Yin
Keyword(s):  
Finite Element ◽  
Boundary Value Problem ◽  
Elliptic Boundary ◽  
Boundary Value ◽  
Second Order ◽  
Three Dimensions ◽  
Elliptic Boundary Value Problem ◽  
Elliptic Boundary Value ◽  
Interpolation Postprocessing ◽  
Linear Elements

For a second-order elliptic boundary value problem in three dimensions, we use an interpolation postprocessing technique to obtain recovered gradients of tri- linear elements over regular meshes. Further, superconvergence of these gradients are proved.

scholarly journals 3.—A Criterion for the Existence of Solutions of Non-linear Elliptic Boundary Value Problems

1976 ◽  
Vol 74 ◽  
pp. 49-54 ◽  
Author(s):  
Johanna Deuel ◽  
Peter Hess
Keyword(s):  
Weak Solution ◽  
General Type ◽  
Existence Of Solutions ◽  
Elliptic Boundary ◽  
Boundary Value ◽  
Lower Solution ◽  
Elliptic Boundary Value Problem ◽  
Elliptic Boundary Value ◽  
Non Linear ◽  
Linear Elliptic Boundary

SynopsisBy a new method it is proved that a non-linear elliptic boundary value problem of rather general type admits a weak solution lying between a given weak lower solution ϕ and a given weak upper solution ψ≧ϕ

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