2. David C. Dobson, Convergence of a reconstruction method for the inverse conductivity problem, SIAM J. Appl. Math. 52 (1992), 442-458.
3. David C. Dobson, Estimates on resolution and stabilization for the linearized inverse conductivity problem, Inverse Problems 8 (1992), 71-81.
4. David C. Dobson, Phase reconstruction via nonlinear least-squares, Inverse Problems 8 (1992), 541-557.
5. David C. Dobson, Optimal design of periodic antireflective structures for the Helmholtz equation, Euro. J. Appl. Math. 4 (1993), 321-340.
6. David C. Dobson and Fadil Santosa, An image-enhancement technique for electrical impedance tomography, Inverse Problems 10, (1994), 317-334.
7. D. C. Dobson, A variational method for electromagnetic diffraction in biperiodic structures, RAIRO Model. Math. Anal. Numer. 28 (1994), 419-439.
8. Gang Bao and David C. Dobson Second harmonic generation in nonlinear optical films, J. Math. Phys. 35 (1994), 1622-1633.
9. David C. Dobson and Fadil Santosa, Resolution and stability analysis of an inverse problem in electrical impedance tomography --dependence on the input current patterns, SIAM J. Appl. Math. 54 (1994), 1542-1560.
10. Gang Bao, David C. Dobson, and J. Allen Cox, Mathematical studies in rigorous grating theory J. Opt. Soc. Am. A, 12 (1995), 1029-1042.
11. Gang Bao and David C. Dobson, Diffractive optics in nonlinear media with periodic structure, Euro. J. Appl. Math., 6 (1995), 573-590.
12. David C. Dobson and Fadil Santosa, Recovery of blocky images from noisy and blurred data, SIAM J. Appl. Math., 56 (1996), 1181-1198.
13. David C. Dobson and Curtis R. Vogel, Convergence of an iterative method for total variation denoising SIAM J. Numer. Anal., 34 (1997), 1779-1791.
14. David Dobson and Otmar Scherzer, Analysis of regularized total variation penalty methods for denoising, Inverse Problems, 12 (1996), 601-617.
15. David C. Dobson, Optimal shape design of blazed diffraction gratings , Appl. Math. Opt., 40 (1999), 61-78.
16. Gang Bao and David C. Dobson, Modeling and optimal design of diffractive optical structures, Surv. Math. Ind., 8 (1998), 37-62.
17. David C. Dobson and Fadil Santosa, Nondestructive evaluation of plates using eddy current methods Int. J. Engng. Sci., 36 (1998), 395-409.
18. J.A. Cox, J.D. Zook, T. Ohnstein, and D.C. Dobson, Optical performance of high-aspect LIGA gratings, Opt. Eng. 36 (1997), 1367-1373.
19. Steven J. Cox and David C. Dobson, Maximizing band gaps in two-dimensional photonic crystals, SIAM J. Appl. Math, 59 (1999), 2108-2120.
20. David C. Dobson, An efficient method for band structure calculations in 2D photonic crystals, J. Comp. Phys., 149 (1999), 363-376.
21. J.A. Cox, D.C. Dobson, T. Ohnstein, and J.D. Zook, Optical performance of high-aspect LIGA gratings II, Opt. Eng. 37 (1998), 2878-2884.
22. D.C. Dobson and P. Kaup, Monitoring underground flows with electromagnetic methods, Inverse Problems 15 (1999), 597-613.
23. Gang Bao and David C. Dobson, On the scattering by a biperiodic structure, Proc. AMS 128 (2000), 2715-2723.
24. Steven J. Cox and David C. Dobson, Band structure optimization of two-dimensional photonic crystals in H-polarization, J. Comp. Phys., 158 (2000), 214-224.
25. David C. Dobson, Jayadeep Gopalakrishnan, and Joseph E. Pasciak, An efficient method for band structure calculations in 3D photonic crystals, J. Comp. Phys., 161 (2000), 668-679.
26. Gang Bao, David C. Dobson, and Karim Ramdani, A constraint on the maximum reflectance of rapidly oscillating dielectric gratings, SIAM J. Cont. Opt., 40 (2002), 1858--1866.
27. David C. Dobson and Joseph E. Pasciak, Analysis of an algorithm for computing electromagnetic Bloch modes using Nedelec spaces, Comp. Meth. Appl. Math., 1 (2001), 138-153.
28. David C. Dobson and Fadil Santosa, Optimal localization of eigenfunctions in an inhomogeneous medium, SIAM J. Appl. Math., 64 (2004), 762--774.
2. David C. Dobson, "Designing periodic structures with specified low frequency scattered far-field data", in Advances in Computer Methods for Partial Differential Equations VII , edited by R. Vichnevetsky, D. Knight and G. Richter, IMACS (1992), 224-230.
3. David C. Dobson, "Exploiting ill-posedness in the design of diffractive optical structures", in Mathematics in Smart Structures, edited by H. T. Banks, SPIE Proc. 1919 (1993), 248-257.
4. Gang Bao and David C. Dobson, "Nonlinear optics in periodic diffractive structures", in Second International Conference on Mathematical and Numerical Aspects of Wave Propagation, edited by R.Kleinman, et. al., SIAM (1993), 30-38.
5. David C. Dobson and J. Allen Cox, "Mathematical modeling for diffractive optics", in Diffractive and Miniaturized Optics (Critical Reviews), edited by Sing Lee, SPIE CR-49 (1994), 32-53.
6. Gang Bao, David C. Dobson, and J. Allen Cox, "Mathematical issues in the electromagnetic theory of gratings", in Diffractive Optics: Design, Fabrication, and Applications OSA Technical Digest Series (Optical Society of America, Washington DC), (1994).
7. David C. Dobson, "A boundary determination problem from the design of diffractive periodic structures", in Free Boundary Problems: Theory and Applications, J.I. Diaz, M.A. Herrero, A. Linan, and J.L. Vazquez, eds., Pitman Research Notes in Mathematics Series 323, Longman (1995), 108-120.
8. David C. Dobson, "Controlled scattering of light waves: optimal design of diffractive optics" , in Control Problems in Industry, edited by I. Lasiecka and B. Morton, Birkhauser, Boston (1995), 97-118.
9. J.A. Cox, J.D. Zook, T. Ohnstein, and D.C. Dobson, "Optical performance of high aspect LIGA gratings", in Proc. SPIE Vol. 2383A (1995).
10. D. Dobson and J.A. Cox, "Optimal design of low order diffractive structures", in Diffractive and Micro-Optics Vol. 5, OSA Technical Digest Series (Optical Society of America, Washington DC), (1996), 5-8.
11. David C. Dobson, "Recovery of blocky images in electrical impedance tomography", in Inverse Problems in Medical Imaging and Nondestructive Testing, edited by H.W. Engl, A.K. Louis, and W. Rundell, Springer-Verlag, Wien (1997), pp. 43-64.
12. J.A. Cox, D.C. Dobson, T. Ohnstein, and J.D. Zook, "LIGA tunable spectral filter performance", in Proc. SPIE Vol. 3008 (1997).
13. Gang Bao and David C. Dobson, "Variational methods for diffractive optics modeling", in Mathematical Modeling in Optical Science, G. Bao, L. Cowsar, and W. Masters, editors, SIAM, (2001), pp. 37-69.