Title of article
A posteriori error analysis of a cell-centered finite volume method for semilinear elliptic problems
Author/Authors
Estep، نويسنده , , Don and Pernice، نويسنده , , Michael X. Pham، نويسنده , , Du and Tavener، نويسنده , , Simon and Wang، نويسنده , , Haiying، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
14
From page
459
To page
472
Abstract
In this paper, we conduct a goal-oriented a posteriori analysis for the error in a quantity of interest computed from a cell-centered finite volume scheme for a semilinear elliptic problem. The a posteriori error analysis is based on variational analysis, residual errors 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.
Keywords
adjoint problem , Cell-centered finite volume method , Convection–diffusion–reaction problem , Quadrature error , Mixed finite element method , a posteriori error analysis , Residual error
Journal title
Journal of Computational and Applied Mathematics
Serial Year
2009
Journal title
Journal of Computational and Applied Mathematics
Record number
1555342
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