Matthew Dobson

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Publications:

1. Matthew Dobson and Mitchell Luskin. Analysis of a force-based quasicontinuum method. M2AN Math. Model. Numer. Anal., 42(1):113-139, 2008.
   Published Version The original publication is available at www.esaim-m2an.org.
2. Matthew Dobson, Ryan Elliott, Mitchell Luskin, and Ellad Tadmor. A multilattice quasicontinuum for phase transforming materials: Cascading Cauchy Born kinematics. J. Comput. Aided Mater. Des., 14(Supplement 1):219-237, 2007.
   Preprint The original publication is available at www.springerlink.com.
3. Matthew Dobson and Mitchell Luskin. Iterative solution of the quasicontinuum equilibrium equations with continuation. J. Sci. Comput., 37:19-41, 2008.
   Preprint The original publication is available at www.springerlink.com.
4. Matthew Dobson and Mitchell Luskin. An analysis of the effect of ghost force oscillation on quasicontinuum error. M2AN Math. Model. Numer. Anal., 43(3):591-604, 2009.
   Preprint
5. Matthew Dobson and Mitchell Luskin. An optimal order error analysis of the one-dimensional quasicontinuum approximation. SIAM J. Numer. Anal., 47(4):2455-2475, 2009.
   Preprint
6. Matthew Dobson, Mitchell Luskin, and Christoph Ortner. Stability, Instability, and Error of the Force-based Quasicontinuum Approximation. submitted.
   Preprint

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