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Linear complementarity, linear and nonlinear programming
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The article was published on 1988-01-01 and is currently open access. It has received 1012 citations till now. The article focuses on the topics: Mixed complementarity problem & Complementarity theory.read more
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Error bound and convergence analysis of matrix splitting algorithms for the affine variational inequality problem
Zhi-Quan Luo,Paul Tseng +1 more
TL;DR: It is shown that the distance to a feasible point near the solution set can be bounded by the norm of a natural residual at that point, and this bound is used to prove linear convergence of a matrix splitting algorithm for solving the symmetric case of the affine variational inequality problem.
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Inexact implicit methods for monotone general variational inequalities
TL;DR: The implicit method proposed, which solves monotone variational inequality problem via solving a series of systems of nonlinear smooth equations, is extended to solve a class of general Variational inequality problems and is shown to preserve the same convergence properties as the original implicit method.
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FE-formulation of a nonlocal plasticity theory
Lena Strömberg,Matti Ristinmaa +1 more
TL;DR: In this paper, a nonlocal continuum plasticity theory is presented, which is defined as a certain weighted average of the corresponding local field, taken over all the material points in the body, where a quantity with the dimension of length occurs as a material parameter.
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Implementation and extensibility of an analytic placer
Andrew B. Kahng,Qinke Wang +1 more
TL;DR: It is empirically demonstrated that the APlace framework is a general, and extensible platform for "spatial embedding" tasks across many aspects of system physical implementation.
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GPU-based real-time soft tissue deformation with cutting and haptic feedback.
Hadrien Courtecuisse,Hoeryong Jung,Hoeryong Jung,Jérémie Allard,Christian Duriez,Doo Yong Lee,Stéphane Cotin +6 more
TL;DR: The contributions described in this article share a common underlying model of deformation and rely on GPU implementations to significantly improve computation times, which ensures coherent results as well as efficient, robust and flexible solutions.