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COMBINATIONS OF THE RITZ–GALERKIN AND FINITE DIFFERENCE METHODS
Author(s) -
LI Z.C.
Publication year - 1996
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19960615)39:11<1839::aid-nme931>3.0.co;2-c
Subject(s) - superconvergence , mathematics , finite element method , galerkin method , ritz method , convergence (economics) , rate of convergence , boundary value problem , mathematical proof , discontinuous galerkin method , finite difference method , finite difference , mathematical analysis , geometry , computer science , structural engineering , computer network , channel (broadcasting) , engineering , economics , economic growth
This paper presents six combinations of the Ritz–Galerkin method and the finite difference method for solving elliptic boundary value problems. Not only optimal convergence rates of solutions but also superconvergence rates of solution derivatives can be achieved. The non‐conforming combination and other five new combinations are given in algorithms, error analysis, convergence rates, outlines of proofs, numerical experiments and their comparisons.