Results 51 to 60 of about 991,941 (239)
Variational methods for phononic calculations [PDF]
Wave Motion, 2016 Three fundamental variational principles used for solving elastodynamic eigenvalue problems are studied within the context of elastic wave propagation in periodic composites (phononics). We study the convergence of the eigenvalue problems resulting from the displacement Rayleigh quotient, the stress Rayleigh quotient and the mixed quotient.
Yan Lu, Ankit Srivastava
openaire +3 more sources
Black Box Variational Inference [PDF]
, 2013 Variational inference has become a widely used method to approximate posteriors in complex latent variables models. However, deriving a variational inference algorithm generally requires significant model-specific analysis, and these efforts can hinder ...
Blei, David M. +2 more
core +2 more sources
Variational methods, multisymplectic geometry and continuum mechanics
, 2000 This paper presents a variational and multisymplectic formulation of both compressible and incompressible models of continuum mechanics on general Riemannian manifolds.
Arnold +17 more
core +5 more sources
A simple variational approach to Nonlinear Maxwell equations [PDF]
arXiv, 2021 We show that nonlinear Maxwell Equations in $\R^3$ admit a convenient dual variational formulation that permits to prove the existence of nontrivial solutions via standard variational methods.
arxiv
Variational approach for resolving the flow of generalized Newtonian fluids in circular pipes and plane slits [PDF]
Mathematical Problems in Engineering, Volume 2015 (2015), Article
ID 714136, 2015 In this paper, we use a generic and general variational method to obtain solutions to the flow of generalized Newtonian fluids through circular pipes and plane slits. The new method is not based on the use of the Euler-Lagrange variational principle and hence it is totally independent of our previous approach which is based on this principle.
arxiv +1 more source
Discontinuous Galerkin Method for Total Variation Minimization on one-dimensional Inpainting Problem [PDF]
arXiv, 2011 This paper is concerned with the numerical minimization of energy functionals in $BV(\Omega)$ (the space of bounded variation functions) involving total variation for gray-scale 1-dimensional inpainting problem. Applications are shown by finite element method and discontinuous Galerkin method for total variation minimization.
arxiv
Nonsmooth Lagrangian mechanics and variational collision integrators [PDF]
, 2003 Variational techniques are used to analyze the problem of rigid-body dynamics with impacts. The theory of smooth Lagrangian mechanics is extended to a nonsmooth context appropriate for collisions, and it is shown in what sense the system is symplectic ...
Fetecau, R. C. +3 more
core
Self-Adaptive Implicit Methods for Monotone Variant Variational Inequalities
Journal of Inequalities and Applications, 2009 The efficiency of the implicit method proposed by He (1999) depends on the parameter heavily; while it varies for individual problem, that is, different problem has different "suitable" parameter, which is difficult to find.
Ge Zhili, Han Deren
doaj +2 more sources
Electronic Journal of Qualitative Theory of Differential Equations, 2020 We establish the existence of positive solutions for the singular quasilinear Schrödinger equation \begin{equation*} \begin{cases} -\Delta u -\Delta (u^{2})u=h(x) u^{-\gamma} + f(x,u)& \mbox{in } \Omega,\\ u(x)=0&\mbox{on }\partial \Omega, \end{cases ...
Ricardo Alves, Mariana Reis
doaj +1 more source
Split general quasi-variational inequality problem [PDF]
arXiv, 2013 In this paper, we introduce a split general quasi-variational inequality problem which is a natural extension of split variational inequality problem, quasi-variational and variational inequality problems in Hilbert spaces. Using projection method, we propose an iterative algorithm for the split general quasi-variational inequality problem and discuss ...
arxiv