Derek Olson

Generating author description...

All published works

Action	Title	Year	Authors
+	Theoretical Study of Elastic Far-Field Decay from Dislocations in Multilattices	2019	Derek Olson Christoph Ortner
+ PDF Chat	Force-based atomistic/continuum blending for multilattices	2018	Derek Olson Xingjie Li Christoph Ortner Brian Van Koten
+ PDF Chat	Regularity and Locality of Point Defects in Multilattices	2017	Derek Olson Christoph Ortner
+	Force-Based Atomistic/Continuum Blending for Multilattices	2016	Derek Olson Xingjie Li Christoph Ortner Brian Van Koten
+	Regularity and Locality of Point Defects in Multilattices	2016	Derek Olson Christoph Ortner
+ PDF Chat	Petviashvilli’s Method for the Dirichlet Problem	2015	Derek Olson Soumitra Shukla Gideon Simpson Daniel Spirn
+	Petviashvilli's Method for the Dirichlet Problem	2014	Derek Olson Soumitra Shukla Gideon Simpson Daniel Spirn
+	Analysis of an optimization-based atomistic-to-continuum coupling method for point defects	2014	Derek Olson Alexander V. Shapeev Pavel Bochev Mitchell Luskin
+ PDF Chat	Development of an Optimization-Based Atomistic-to-Continuum Coupling Method	2014	Derek Olson Pavel Bochev Mitchell Luskin Alexander V. Shapeev
+	An Optimization-based Atomistic-to-Continuum Coupling Method	2014	Derek Olson Pavel Bochev Mitchell Luskin Alexander V. Shapeev
+	Development of an Optimization-Based Atomistic-to-Continuum Coupling Method	2013	Derek Olson Pavel Bochev Mitchell Luskin Alexander V. Shapeev

Common Coauthors

Coauthor	Papers Together
Christoph Ortner	5
Pavel Bochev	4
Mitchell Luskin	4
Alexander V. Shapeev	4
Gideon Simpson	2
Xingjie Li	2
Brian Van Koten	2
Daniel Spirn	2
Soumitra Shukla	2

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Formulation and optimization of the energy-based blended quasicontinuum method	2012	Mitchell Luskin Christoph Ortner Brian Van Koten	6
+ PDF Chat	Symmetries of 2-Lattices and Second Order Accuracy of the Cauchy--Born Model	2013	Brian Van Koten Christoph Ortner	5
+ PDF Chat	Theory-based benchmarking of the blended force-based quasicontinuum method	2013	Xingjie Helen Li Mitchell Luskin Christoph Ortner Alexander V. Shapeev	5
+ PDF Chat	Analysis of Boundary Conditions for Crystal Defect Atomistic Simulations	2016	Virginie Ehrlacher Christoph Ortner Alexander V. Shapeev	5
+ PDF Chat	Analysis of Energy-Based Blended Quasi-Continuum Approximations	2011	Brian Van Koten Mitchell Luskin	4
+ PDF Chat	An adaptive finite element approach to atomic-scale mechanics—the quasicontinuum method	1999	Vivek B. Shenoy Ronald E. Miller Ellad B. Tadmor David Rodney Rob Phillips M. Ortíz	3
+ PDF Chat	Development of an Optimization-Based Atomistic-to-Continuum Coupling Method	2014	Derek Olson Pavel Bochev Mitchell Luskin Alexander V. Shapeev	3
+	Coupling Methods for Continuum Model with Molecular Model	2003	Ted Belytschko Shaoping Xiao	3
+	A Posteriori Existence in Numerical Computations	2009	Christoph Ortner	3
+ PDF Chat	Analysis of an optimization-based atomistic-to-continuum coupling method for point defects	2015	Derek R. Olson Alexander V. Shapeev Pavel Bochev Mitchell Luskin	3
+ PDF Chat	Analysis of a force-based quasicontinuum approximation	2008	Matthew Dobson Mitchell Luskin	3
+ PDF Chat	Positive Definiteness of the Blended Force-Based Quasicontinuum Method	2012	Xingjie Helen Li Mitchell Luskin Christoph Ortner	3
+ PDF Chat	Consistent Energy-Based Atomistic/Continuum Coupling for Two-Body Potentials in One and Two Dimensions	2011	Alexander V. Shapeev	3
+ PDF Chat	Regularity and Locality of Point Defects in Multilattices	2017	Derek Olson Christoph Ortner	3
+ PDF Chat	Analysis of Stable Screw Dislocation Configurations in an Antiplane Lattice Model	2015	Thomas Hudson Christoph Ortner	2
+ PDF Chat	Numerical Methods for Multilattices	2012	Assyr Abdulle Ping Lin Alexander V. Shapeev	2
+ PDF Chat	<i>L</i><sup><i>p</i></sup>-integrability of the second order derivatives of Green potentials in convex domains	1993	Vilhelm Adolfsson	2
+	Multiple Integrals in the Calculus of Variations	1966	Charles B. Morrey	2
+	Semilinear Elliptic Equations for Beginners: Existence Results via the Variational Approach	2011	Marino Badiale Enrico Serra	2
+ PDF Chat	Consistent Energy-Based Atomistic/Continuum Coupling for Two-Body Potentials in Three Dimensions	2012	Alexander V. Shapeev	2
+	Some interlacing properties of the Schur complement of a Hermitian matrix	1992	Ronald L. Smith	2
+ PDF Chat	Universally‐Convergent Squared‐Operator Iteration Methods for Solitary Waves in General Nonlinear Wave Equations	2007	Jianke Yang Taras I. Lakoba	2
+ PDF Chat	Accelerated Imaginary‐time Evolution Methods for the Computation of Solitary Waves	2008	Jianke Yang Taras I. Lakoba	2
+	Petviashvili type methods for traveling wave computations: I. Analysis of convergence	2014	Jorge Álvarez A. Durán	2
+ PDF Chat	A mode elimination technique to improve convergence of iteration methods for finding solitary waves	2007	Taras I. Lakoba Jianke Yang	2
+ PDF Chat	A generalized Petviashvili iteration method for scalar and vector Hamiltonian equations with arbitrary form of nonlinearity	2007	Taras I. Lakoba Jianke Yang	2
+ PDF Chat	Analysis of blended atomistic/continuum hybrid methods	2015	Xingjie Helen Li Christoph Ortner Alexander V. Shapeev Brian Van Koten	2
+ PDF Chat	Two-dimensional atomic crystals	2005	Kostya S. Novoselov Da Jiang F. Schedin Timothy J. Booth V. V. Khotkevich С. В. Морозов A. K. Geǐm	2
+ PDF Chat	On Atomistic-to-Continuum Couplings without Ghost Forces in Three Dimensions	2013	C. Makridakis Dimitrios A. Mitsoudis Phoebus Rosakis	2
+	Asymptotic expansions of lattice Green's functions	2002	Per‐Gunnar Martinsson Gregory J. Rodin	2
+ PDF Chat	Singular solutions of the<i>L</i><sup>2</sup>-supercritical biharmonic nonlinear Schrödinger equation	2011	Guy Baruch Gadi Fibich	2
+ PDF Chat	Potential space estimates for Green potentials in convex domains	1993	Stephen J. Fromm	2
+ PDF Chat	Atomistic/Continuum Blending with Ghost Force Correction	2016	Christoph Ortner Lei Zhang	2
+	Real and Complex Analysis.	1987	G. A. Garreau Walter Rudin	2
+ PDF Chat	A Priori and A Posteriori $W^{1,\infty}$ Error Analysis of a QC Method for Complex Lattices	2013	Assyr Abdulle Ping Lin Alexander V. Shapeev	2
+	Strain solitons and topological defects in bilayer graphene	2013	Jonathan S. Alden Adam W. Tsen Pinshane Y. Huang Robert Hovden Lola Brown Jiwoong Park David A. Muller Paul L. McEuen	2
+ PDF Chat	Convergence of Petviashvili's Iteration Method for Numerical Approximation of Stationary Solutions of Nonlinear Wave Equations	2004	Dmitry E. Pelinovsky Yury Stepanyants	2
+ PDF Chat	Justification of the Cauchy–Born Approximation of Elastodynamics	2012	Christoph Ortner Florian Theil	2
+ PDF Chat	Analysis of Rippling in Incommensurate One-Dimensional Coupled Chains	2017	Paul Cazeaux Mitchell Luskin Ellad B. Tadmor	2
+ PDF Chat	Stability Of A Force-Based Hybrid Method With Planar Sharp Interface	2014	Jianfeng Lu Pingbing Ming	2
+ PDF Chat	Existence and Stability of a Screw Dislocation under Anti-Plane Deformation	2014	Thomas Hudson Christoph Ortner	2
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	1977	David Gilbarg Neil S. Trudinger	1
+	Additive Operator Decomposition and Optimization–Based Reconnection with Applications	2010	Pavel Bochev Denis Ridzal	1
+ PDF Chat	Applications of Functional Analysis and Operator Theory	1980	V. Hutson John Pym Michael J. Cloud	1
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	1
+	Interpolants of Lattice Functions for the Analysis of Atomistic/Continuum Multiscale Methods	2012	Christoph Ortner Alexander V. Shapeev	1
+	Algorithmes parallèles pour la solution de problèmes aux limites	1998	J. L. Lions Olivier Pironneau	1
+	A method of finite element tearing and interconnecting and its parallel solution algorithm	1991	Charbel Farhat François‐Xavier Roux	1
+ PDF Chat	Two-pulse solutions in the fifth-order KdV equation: Rigorous theory and numerical approximations	2007	Marina Chugunova Dmitry E. Pelinovsky	1
+ PDF Chat	Accuracy of quasicontinuum approximations near instabilities	2010	Matthew Dobson Mitchell Luskin Christoph Ortner	1