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Derivatives and their error bounds in second order problems by finite element
Author(s) -
Mote C. D.,
Young R. C.
Publication year - 1976
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/nme.1620100508
Subject(s) - bounded function , finite element method , computation , order (exchange) , mathematics , element (criminal law) , boundary value problem , extended finite element method , boundary (topology) , mathematical analysis , algorithm , engineering , structural engineering , finance , political science , law , economics
A previous paper by the authors presented a finite element technique for computing accurate and bounded solutions at arbitrary points in second order mixed boundary value problems. The technique is extended herein to the computation of accurate and bounded derivatives at arbitrary interior points. Numerical results are presented to illustrate both the strengths and limitations to the method.