A variational difference method for solving the third boundary value problem for an elliptic equation in a three-dimensional domain with a smooth boundary

1972 ◽  
Vol 12 (5) ◽  
pp. 170-186
Author(s):  
M.E. Dmitrenko
Keyword(s):  
Elliptic Equation ◽  
Boundary Value Problem ◽  
Difference Method ◽  
Smooth Boundary ◽  
Boundary Value ◽  
Three Dimensional ◽  
The Third ◽  
Variational Difference Method ◽  
Third Boundary Value Problem ◽  
Dimensional Domain

Convergence Of a Finite Difference Scheme for the Third Boundary-Value Problem for an Elliptic Equation with Variable Coefficients

2001 ◽  
Vol 1 (4) ◽  
pp. 356-366 ◽  
Author(s):  
Boško S. Jovanović ◽  
Branislav Z. Popović
Keyword(s):  
Elliptic Equation ◽  
Finite Difference ◽  
Boundary Value Problem ◽  
Difference Scheme ◽  
Finite Difference Scheme ◽  
Boundary Value ◽  
Variable Coefficients ◽  
Convergence Rate Estimate ◽  
The Third ◽  
Third Boundary Value Problem

Abstract In this paper we study the convergence of a finite difference scheme that approximates the third boundary-value problem for an elliptic equation with variable coefficients on a unit square. An ”almost” second-order convergence rate estimate (with additional logarithmic multiplier) is obtained.

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