Numerical approximation of bounded solutions for semilinear elliptic equations in an unbounded cylindrical domain
Fuming Ma · Numerical Methods for Partial Differential Equations · 1993
Abstract We consider the approximation of bounded solutions for a class of semilinear elliptic equations in an unbounded cylindrical domain. On certain conditions, the existence of approximate solutions for the semidiscretization of the problem is proved. Error estimates, applications, and a numerical example are also given. © 1993 John Wiley & Sons, Inc.