Modified dirichlet problem for a three-dimensional elliptic equation strongly degenerate on a line

1985 ◽  
Vol 24 (2) ◽  
pp. 172-176
Author(s):  
S. Rutkauskas
Keyword(s):  
Dirichlet Problem ◽  
Elliptic Equation ◽  
Three Dimensional ◽  
Strongly Degenerate

Method of corrections by higher order differences for elliptic equations with variable coefficients

2016 ◽  
Vol 23 (2) ◽  
Author(s):  
Givi Berikelashvili ◽  
Bidzina Midodashvili
Keyword(s):  
Dirichlet Problem ◽  
Elliptic Equation ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Convergence Rate ◽  
Difference Scheme ◽  
Elliptic Equations ◽  
Variable Coefficients ◽  
Order Accuracy ◽  
Corrected Scheme

AbstractWe consider the Dirichlet problem for an elliptic equation with variable coefficients, the solution of which is obtained by means of a finite-difference scheme of second order accuracy. We establish a two-stage finite-difference method for the posed problem and obtain an estimate of the convergence rate consistent with the smoothness of the solution. It is proved that the solution of the corrected scheme converges at rate

A strongly degenerate quasilinear elliptic equation

2005 ◽  
Vol 61 (4) ◽  
pp. 637-669 ◽  
Author(s):  
F. Andreu ◽  
V. Caselles ◽  
J.M. Mazón
Keyword(s):  
Elliptic Equation ◽  
Quasilinear Elliptic Equation ◽  
Strongly Degenerate ◽  
Quasilinear Elliptic
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