On Dual-Weighted Residual Error Estimates for p-Dependent Discretizations
Name
ACDL_TR-11-1.pdf
Size
449.78 KB
Format
Adobe PDF
Checksum (MD5)
2f54ceb18c33d90f53025ae124c51a6f
Author(s)
Yano, Masayuki
Darmofal, David L.
Date Issued
September 21, 2011
Publisher
Aerospace Computational Design Laboratory, Dept. of Aeronautics & Astronautics, Massachusetts Institute of Technology
Series/Report no.
ACDL Technical Reports;TR-11-1
Abstract
This report analyzes the behavior of three variants of the dual-weighted residual (DWR) error estimates applied to the p-dependent discretization that results from the BR2 discretization of a second-order PDE. Three error estimates are assessed using two metrics: local effectivities and global effectivity. A priori error analysis is carried out to study the convergence behavior of the local and global effectivities of the three estimates. Numerical results verify the a priori error analysis.
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