1. AN ABSTRACT ANALYSIS OF OPTIMAL GOAL-ORIENTED ADAPTIVITY.
- Author
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FEISCHL, MICHAEL, PRAETORIUS, DIRK, and VAN DER ZEE, KRISTOFFER G.
- Subjects
- *
FINITE element method , *NUMERICAL analysis , *FUNCTIONAL analysis , *PARTIAL differential equations , *POISSON algebras - 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]
- Published
- 2016
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