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A Variational Formulation of Dissipative Quasicontinuum Methods [PDF]
Lattice systems and discrete networks with dissipative interactions are successfully employed as meso-scale models of heterogeneous solids. As the application scale generally is much larger than that of the discrete links, physically relevant simulations
Beex, Lars A. A.+3 more
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Variational integrators, the Newmark scheme, and dissipative systems [PDF]
Variational methods are a class of symplectic-momentum integrators for ODEs. Using these schemes, it is shown that the classical Newmark algorithm is structure preserving in a non-obvious way, thus explaining the observed numerical behavior ...
Kane, C.+3 more
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Replica Cluster Variational Method [PDF]
32 pages, 14 figures.
Tommaso Rizzo+3 more
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Some Aspects of Extended General Variational Inequalities
Noor (“Extended general variational inequalities,” 2009, “Auxiliary principle technique for extended general variational inequalities,” 2008, “Sensitivity analysis of extended general variational inequalities,” 2009, “Projection iterative methods for ...
Muhammad Aslam Noor
doaj +1 more source
Off-The-Grid Variational Sparse Spike Recovery: Methods and Algorithms
Gridless sparse spike reconstruction is a rather new research field with significant results for the super-resolution problem, where we want to retrieve fine-scale details from a noisy and filtered acquisition.
Bastien Laville+2 more
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Iterative Schemes for a Class of Mixed Trifunction Variational Inequalities
We use the auxiliary principle technique to suggest and analyze some iterative methods for solving a new class of variational inequalities, which is called the mixed trifunction variational inequality.
Muhammad Aslam Noor+2 more
doaj +1 more source
Self-adaptive subgradient extragradient-type methods for solving variational inequalities
In this paper, we introduce two subgradient extragradient-type algorithms for solving variational inequality problems in the real Hilbert space. The first one can be applied when the mapping f is strongly pseudomonotone (not monotone) and Lipschitz ...
Beibei Ma, Wanyu Wang
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Variational Methods for Biomolecular Modeling
Structure, function and dynamics of many biomolecular systems can be characterized by the energetic variational principle and the corresponding systems of partial differential equations (PDEs).
A Ivankin+114 more
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On a variation of Sands′ method [PDF]
A subset of a finite additive abelian group G is a Z‐set if for all a ∈ G, na ∈ G for all n ∈ Z. The group G is called “Z‐good” if in every factorization G = A ⊕ B, where A and B are Z‐sets at least one factor is periodic. Otherwise G is called “Z‐bad.”The purpose of this paper is to investigate factorizations of finite ablian groups which arise from a
openaire +3 more sources
Variational Methods in AdS/CFT
We prove that the AdS/CFT calculation of 1-point functions can be drastically simplified by using variational arguments. We give a simple universal proof, valid for any theory that can be derived from a Lagrangian, that the large radius divergencies in 1-
E. Witten+5 more
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