Variational principles and variational—iterative principles for a class of problems
Journal of Mathematical Analysis and Applications, 1981 AbstractComplementary variational principles are developed for linear equations in a function space and a variational-iterative scheme, based on these principles, is introduced for non-linear equations.
Burrows, B.L, Perks, A.J
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Thermomechanical Variational Principles for Dissipative Materials with Application to Strain Localization in Bulk Metallic Glasses [PDF]
, 2004 This thesis is concerned with variational principles for general coupled thermomechanical problems in dissipative materials including finite elastic and plastic deformation, non-Newtonian viscosity, rate sensitivity, arbitrary flow and hardening rule, as
Yang, Qiang
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Variational Principles and Solitary Wave Solutions of Generalized Nonlinear Schrödinger Equation in the Ocean [PDF]
Journal of Applied and Computational Mechanics, 2021 Internal solitary waves are very common physical phenomena in the ocean, which play an important role in the transport of marine matter, momentum and energy.
Meng-Zhu Liu +4 more
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Continuous and discrete Clebsch variational principles [PDF]
, 2009 18.02.14 Kb.
Cotter, CJ, Holm, DD
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A New Iterative Method for Solving General Mixed Variational Inequalities [PDF]
, 2008 The general mixed variational inequality containing a nonlinear term φ is a useful and an important generalization of variational inequalities. The projection method cannot be applied to solve this problem due to the presence of the nonlinear term. To
Shi, Chaofeng
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Fractional variational problems with the Riesz-Caputo derivative [PDF]
, 2012 In this paper we investigate optimality conditions for fractional variational problems, with a Lagrangian depending on the Riesz-Caputo derivative. First we prove a generalized Euler-Lagrange equation for the case when the interval of integration of the ...
Almeida, R. +2 more
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Vectorial Ekeland Variational Principles and Inclusion Problems in Cone Quasi-Uniform Spaces
Abstract and Applied Analysis, 2012 Some new vectorial Ekeland variational principles in cone quasi-uniform spaces are proved. Some new equivalent principles, vectorial quasivariational inclusion principle, vectorial quasi-optimization principle, vectorial quasiequilibrium principle are ...
Jiang Zhu +3 more
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Billiards in confocal quadrics as a Pluri-Lagrangian system [PDF]
Theoretical and Applied Mechanics, 2016 We illustrate the theory of one-dimensional pluri-Lagrangian systems with the example of commuting billiard maps in confocal quadrics.
Suris Yuri B.
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Variational Principles for Consolidation
Soils and Foundations, 1971 ABSTRACT The purpose of this paper is to derive, as a basis of the finite element method, a generalized variational principle for consolidation under the following assumptions: Soil is inhomogeneous, anisotropically elastic with respect to effective stress, and saturated by incompressible water; deformation of soil does not depend on pore water ...
YOKOO, YOSHITSURA +2 more
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Variational Theory of Crystal Growth in Multicomponent Alloys
Crystals, 2022 The provisions for a new variational theory of crystal growth in multicomponent metal melts were formulated. The developed theory is the generalization of the previously conducted studies of crystal growth under conditions of deviation from local ...
Maxim V. Dudorov +2 more
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