Premium
Galerkin approximations for the equation Lu + Nu = f
Author(s) -
Göthel R.,
Jones D. S.
Publication year - 1982
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670040119
Subject(s) - mathematics , galerkin method , approximations of π , operator (biology) , convergence (economics) , norm (philosophy) , monotone polygon , mathematical analysis , finite element method , geometry , biochemistry , chemistry , physics , repressor , gene , transcription factor , political science , law , economics , thermodynamics , economic growth
Introducing the concept of a supercontinuous operator, we obtain a general convergence theorem for Galerkin approximations. Under the stronger assumption that N is a monotone operator with N (0) = 0, we show norm convergence of the unique Galerkin approximations to the unique solution.