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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
openaire   +3 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

Nonlinear Chirp Mode Decomposition: A Variational Method

IEEE Transactions on Signal Processing, 2017
Variational mode decomposition (VMD), a recently introduced method for adaptive data analysis, has aroused much attention in various fields. However, the VMD is formulated based on the assumption of narrow-band property of the signal model.
Shiqian Chen   +4 more
semanticscholar   +1 more source

Variational Mode Decomposition

IEEE Transactions on Signal Processing, 2014
During the late 1990s, Huang introduced the algorithm called Empirical Mode Decomposition, which is widely used today to recursively decompose a signal into different modes of unknown but separate spectral bands.
Konstantin Dragomiretskiy   +1 more
semanticscholar   +1 more source

A variational method to avoid locking—independent of the discretization scheme

, 2018
We present a variational method for problems in solid and structural mechanics that is designed to be intrinsically free from locking when using equal‐order interpolation for all involved fields.
Simon Bieber   +3 more
semanticscholar   +1 more source

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

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