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Title: A Posteriori Error Analysis of a Cell-centered Finite Volume Method for Semilinear Elliptic Problems

Journal Article · · Applied Numerical Mathematics
OSTI ID:968550

In this paper, we conduct an a posteriori analysis for the error in a quantity of interest computed from a cell-centered finite volume scheme. The a posteriori error analysis is based on variational analysis, residual error and the adjoint problem. To carry out the analysis, we use an equivalence between the cell-centered finite volume scheme and a mixed finite element method with special choice of quadrature.

Research Organization:
Idaho National Lab. (INL), Idaho Falls, ID (United States)
Sponsoring Organization:
USDOE
DOE Contract Number:
DE-AC07-05ID14517
OSTI ID:
968550
Report Number(s):
INL/JOU-08-14300; TRN: US200924%%467
Journal Information:
Applied Numerical Mathematics, Vol. 233, Issue 2
Country of Publication:
United States
Language:
English