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Variational integrators with forces and constraints

A new interaction force decomposition maximizing compensating forces under physical work constraints

A new interaction force decomposition maximizing compensating forces under physical work constraints

... Compensating Forces under Physical Work Constraints Alexander ...interaction forces are often decomposed to be able to control robustness-reflective and accelerating forces ...interaction ...

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A new interaction force decomposition maximizing compensating forces under physical work constraints

A new interaction force decomposition maximizing compensating forces under physical work constraints

... interaction forces in manipulation tasks has a long research ...Interaction forces are often split into robustness-reflective and accelerating ...interaction forces to be applied for example in the ...

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Variational integrators

Variational integrators

... from variational integration ...control forces, such as arise in continuous thrust technologies for ...of variational integrators can be very important, as they do not introduce numerical ...

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Variational time integrators in computational solid mechanics

Variational time integrators in computational solid mechanics

... of variational integrators for computational solid mechanics problems, and to some extent, for fluid mechanics problems as ...well. Variational integrators for finite dimensional mechanical ...

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High order variational integrators in the optimal control of mechanical systems

High order variational integrators in the optimal control of mechanical systems

... the constraints, typically bang-bang controls do appear and then additional assumptions must be done in order to ensure a nice regularity of controls as functions of the state and of the ...

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Structure Preserving Integrators and Hamel's Equations.

Structure Preserving Integrators and Hamel's Equations.

... nonconservative forces (see Marsden and West [36]) and nonholonomic constraints (see Cort´ es and Mart´ınez [17]) can be incorporated as ...discretizing constraints as opposed to discretizing their ...

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Spectral-collocation variational integrators

Spectral-collocation variational integrators

... ˙ p = −kq. (31b) Let m = k = 1, and choose the initial value q 0 = 0, p 0 = 1. We simulate the simple harmonic oscillator with both the spectral variational integrator (SVI) and the Chebyshev spectral-collocation ...

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On variational and symplectic time integrators for Hamiltonian systems

On variational and symplectic time integrators for Hamiltonian systems

... discrete variational principle with the derived numerical flux, we obtain a unified approach to construct time integrators for (non-)autonomous Hamiltonian ...

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Variational Image Segmentation with Constraints

Variational Image Segmentation with Constraints

... on variational methods and PDE-based methods [18] instead, starting from the design of objective functionals to the derivation of ...the variational autoencoder [19], a successful integration of ...

109

Nonstandard finite difference variational integrators for nonlinear Schrödinger equation with variable coefficients

Nonstandard finite difference variational integrators for nonlinear Schrödinger equation with variable coefficients

... In this process, the discrete Lagrangian function needs to be defined for the discrete variational principle. The Lagrangian function can be discretized by using finite difference methods. In our paper, we use the ...

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Variational and quasivariational inequalities with first order constraints

Variational and quasivariational inequalities with first order constraints

... We study the existence of solutions of stationary variational and qua- sivariational inequalities with curl constraint, Neumann type boundary condition and a p-curl type operator. These problems are studied in ...

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Iterative methods for triple hierarchical variational inequalities with mixed equilibrium problems, variational inclusions, and variational inequalities constraints

Iterative methods for triple hierarchical variational inequalities with mixed equilibrium problems, variational inclusions, and variational inequalities constraints

... hierarchical variational inequalities defined over the common set of solutions of mixed equilibrium problems, variational inclusions, variational inequalities, and fixed point ...many ...

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Strong convergence theorem for split monotone variational inclusion with constraints of variational inequalities and fixed point problems

Strong convergence theorem for split monotone variational inclusion with constraints of variational inequalities and fixed point problems

... Noticing condition (v) and applying Lemma 2.5 to (3.16), we obtain n→∞ lim x n+1 – x n = 0. (3.17) This completes the proof. Lemma 3.2 Let H 1 and H 2 be two real Hilbert spaces and C be a nonempty closed con- vex subset ...

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A smoothing inexact Newton method for variational inequalities with nonlinear constraints

A smoothing inexact Newton method for variational inequalities with nonlinear constraints

... parameterized smooth equations. The corresponding linear system of each iteration is solved approximately. Under some mild conditions, we establish the global and local quadratic convergence. Some numerical results show ...

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Multi step extragradient method with regularization for triple hierarchical variational inequalities with variational inclusion and split feasibility constraints

Multi step extragradient method with regularization for triple hierarchical variational inequalities with variational inclusion and split feasibility constraints

... hierarchical variational inequality problem is introduced and ...hierarchical variational inequality problem which is defined over the set of solutions of a hierarchical variational inequality problem ...

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Mathematical programming with multiple sets split monotone variational inclusion constraints

Mathematical programming with multiple sets split monotone variational inclusion constraints

... split variational inclusion and fixed point set constraints; mathematical programming with multiple sets split variational inequalities and fixed point set constraints; the variational ...

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Immigrants as Economic Integrators

Immigrants as Economic Integrators

... immigrants and FDI seem to complement each other e.g. in the software industry. 3 In this context immigrants are thought to evoke their influence via business networks and by integrating into business communities. This ...

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Multi step iterative algorithms with regularization for triple hierarchical variational inequalities with constraints of mixed equilibria, variational inclusions, and convex minimization

Multi step iterative algorithms with regularization for triple hierarchical variational inequalities with constraints of mixed equilibria, variational inclusions, and convex minimization

... many variational inclusions and the set of minimizers of convex minimization problem (CMP), which is just a unique solution of a triple hierarchical variational inequality (THVI) in a real Hilbert ...with ...

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Parametrized variational inequality approaches to generalized Nash equilibrium problems with shared constraints

Parametrized variational inequality approaches to generalized Nash equilibrium problems with shared constraints

... Abstract. We consider the generalized Nash equilibrium problem (GNEP), in which each player’s strategy set may depend on the rivals’ strategies through shared con- straints. A practical approach to solving this problem ...

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On a finite family of variational inclusions with the constraints of generalized mixed equilibrium and fixed point problems

On a finite family of variational inclusions with the constraints of generalized mixed equilibrium and fixed point problems

... of variational inclusions for maximal monotone and inverse-strongly monotone mappings with the constraints of two problems: a gener- alized mixed equilibrium problem and a common fixed point problem of an ...

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