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.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom