Abstract
COURANT has suggested in [1] a finite difference method which is applicable to the Dirichlet problem for second order self-adjoint elliptic equations in a bounded open two-dimensional region R. The finite difference equations are obtained by means of the Rayleigh-Ritz method with trial functions that are piecewise linear over a triangulation of the plane. This method has been investigated recently by many authors (see [2]-[9]). In the present paper we shall obtain error estimates for the Rayleigh-Ritz method with piecewise linear trial functions under weak regularity assumptions on the boundary of R and the triangulation of the plane of R.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
