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The Variational Method

2016
In this chapter we introduce some variational techniques, with the aim of obtaining further existence results for the periodic problem (P). We use some known results of differential calculus in normed vector spaces, which are collected in Appendix B.
A. Fonda
semanticscholar   +4 more sources

Variational Method

Computer Vision, 2014
Bastian Goldluecke
semanticscholar   +3 more sources

The variational collocation method

Computer Methods in Applied Mechanics and Engineering, 2016
We propose the variational collocation method for the numerical solution of partial differential equations. The conceptual basis is the establishment of a direct connection between the Galerkin method and the classical collocation methods, with the perspective of achieving the accuracy of the former with a computational cost of one point evaluation per
Hector Gomez, Laura De Lorenzis
openaire   +3 more sources

A general numerical algorithm for nonlinear differential equations by the variational iteration method

, 2020
The purpose of this paper is to suggest a general numerical algorithm for nonlinear problems by the variational iteration method (VIM).,Firstly, the Laplace transform technique is used to reconstruct the variational iteration algorithm-II.
Ji-Huan He, Habibolla Latifizadeh
semanticscholar   +1 more source

Variational method for liquids moving on a substrate

, 2016
A new variational method is proposed to calculate the evolution of liquid film and liquid droplet moving on a solid substrate. A simple time evolution equation is obtained for the contact angle of a liquid film that starts to move on a horizontal ...
Xianmin Xu, Yana Di, M. Doi
semanticscholar   +1 more source

Variational Methods for Evolution

Oberwolfach Reports, 2012
The meeting focused on the last advances in the applications of variational methods to evolution problems governed by partial differential equations. The talks covered a broad range of topics, including large deviation and variational principles, rate-independent evolutions and gradient flows, heat flows in metric-measure spaces, propagation of ...
Alexander Mielke   +3 more
openaire   +2 more sources

End-to-End Variational Networks for Accelerated MRI Reconstruction

International Conference on Medical Image Computing and Computer-Assisted Intervention, 2020
The slow acquisition speed of magnetic resonance imaging (MRI) has led to the development of two complementary methods: acquiring multiple views of the anatomy simultaneously (parallel imaging) and acquiring fewer samples than necessary for traditional ...
Anuroop Sriram   +7 more
semanticscholar   +1 more source

Variational methods

1994
Publisher Summary This chapter focuses on the use of variational methods in the study of the energy methods of solid mechanics. The Galerkin method can be shown to produce element matrix integral definitions that would be identical to those obtained from a variational form, if one exists. Most nonlinear problems do not have a variational form, yet the
openaire   +4 more sources

The Variational Method

2004
In many cases stationary perturbation theory cannot be applied successfully as there may not be a closely related problem which is capable of exact solution.
S. Lokanathan, Ajoy Ghatak
openaire   +2 more sources

Heavy quarkonium properties from Cornell potential using variational method and supersymmetric quantum mechanics

, 2014
Using the variational method and supersymmetric quantum mechanics we calculated, in an approximate way, the eigenvalues, eigenfunctions and wave functions at the origin of the Cornell potential.
Alfredo Vega, J. Flores
semanticscholar   +1 more source

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