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AN ABSTRACT ANALYSIS OF OPTIMAL GOAL-ORIENTED ADAPTIVITY.
- Source :
- SIAM Journal on Numerical Analysis; 2016, Vol. 54 Issue 3, p1423-1448, 26p
- Publication Year :
- 2016
-
Abstract
- We provide an abstract framework for optimal goal-oriented adaptivity for finite element methods and boundary element methods in the spirit of [C. Carstensen et al., Comput. Math. Appl., 67 (2014), pp. 1195-1253]. We prove that this framework covers standard discretizations of general second-order linear elliptic PDEs and hence generalizes available results [R. Becker, E. Estecahandy, and D. Trujillo, SIAM J. Numer. Anal., 49 (2011), pp. 2451-2469, M. S. Mommer and R. Stevenson, SIAM J. Numer. Anal., 47 (2009), pp. 861-886] beyond the Poisson equation. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00361429
- Volume :
- 54
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- SIAM Journal on Numerical Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 116887944
- Full Text :
- https://doi.org/10.1137/15M1021982