Numerical Analysis Research Club (NARC)

Autumn Quarter 2013

We will meet Thursdays 1:30 - 2:20pm in Lewis 208. See the Calendar for the schedule of talks.

Calendar for NARC

Main page for more information about NARC

Adjoint methods

We will spend a few weeks reviewing some papers on adjoint methods. Some references:

• M.B. Giles and N.A. Pierce, Adjoint Error Correction for Integral Outputs, Oxford Report 01/18, 2001. [link]
• M.B. Giles and E. Suli, Adjoint methods for PDEs: a posteriori error analysis and postprocessing by duality, Acta Numerica 11 (2002), pp. 145-236. [link]
• M.B. Giles and N.A. Pierce, An Introduction to the Adjoint Approach to Design, Flow, Turbulence and Combustion 65 (2000) 393–415. [link]
• J. Tromp, C. Tape, Q. Liu, Seismic tomography, adjoint methods, time reversal and banana-doughnut kernels, Geophys. J. Int. (2005) 160, 195–216 [link]
• A. McNamara, A. Treuille, Z. Popovic, J. Stam, Fluid Control Using the Adjoint Method, [link]
• K-Y Yang, D J Lary, et. al., A review on the use of the adjoint method in four-dimensional atmospheric-chemistry data assimilation, Q. J. R. Meteoml. SOC.(2001). 127,pp. 2181-2204. [link]
• S. G. Johnson, Notes on Adjoint Methods --- MIT Course 18.336 Notes. [link]
• K. J. Fidkowski, D. L. Darmofal, Review of Output-Based Error Estimation and Mesh Adaptation in Computational Fluid Dynamics, AIAA J. 49 (2011), 673-694. [link] [related slides]
• R-E. Plessix, A review of the adjoint-state method for computing the gradient of a functional with geophysical applications, Geophys. J. Int. 167 (2006), 495-503. [link]