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pro vyhledávání: '"Kumar, Kundan"'
Autor:
Almani, Tameem, Kumar, Kundan
We consider a poromechanics model including frictionless contact mechanics. The resulting model consists of the Biot equations with contact boundary conditions leading to a variational inequality modelling mechanical deformations coupled to a linear
Externí odkaz:
http://arxiv.org/abs/2407.13459
In this work, we consider a fully dynamic Biot model that includes memory effects due to evolving permeability. Time integrals are used to account for the change in structure. We propose an iterative splitting scheme for this model, extending the fix
Externí odkaz:
http://arxiv.org/abs/2402.07669
In this paper we consider a nonlinear poroelasticity model that describes the quasi-static mechanical behaviour of a fluid-saturated porous medium whose permeability depends on the divergence of the displacement. Such nonlinear models are typically u
Externí odkaz:
http://arxiv.org/abs/2312.17698
Autor:
de Hoop, Maarten V., Kumar, Kundan
We present a mixed dimensional model for a fractured poro-elasic medium including contact mechanics. The fracture is a lower dimensional surface embedded in a bulk poro-elastic matrix. The flow equation on the fracture is a Darcy type model that foll
Externí odkaz:
http://arxiv.org/abs/2308.04338
Language models have been successfully used to model natural signals, such as images, speech, and music. A key component of these models is a high quality neural compression model that can compress high-dimensional natural signals into lower dimensio
Externí odkaz:
http://arxiv.org/abs/2306.06546
This paper considers a bearings-only tracking problem using noisy measurements of unknown noise statistics from a passive sensor. It is assumed that the process and measurement noise follows the Gaussian distribution where the measurement noise has a
Externí odkaz:
http://arxiv.org/abs/2305.08390
Autor:
Taki, Nadia Skoglund, Kumar, Kundan
Publikováno v:
Mathematics and Mechanics of Solids. 2024;29(5):959-1004
In this paper, we study the well-posedness of a class of evolutionary variational-hemivariational inequalities coupled with a nonlinear ordinary differential equation in Banach spaces. The proof is based on an iterative approximation scheme showing t
Externí odkaz:
http://arxiv.org/abs/2207.12284
Autor:
Kumar, Kundan, Agarwal, Sumanshu
Extracting blood vessels from retinal fundus images plays a decisive role in diagnosing the progression in pertinent diseases. In medical image analysis, vessel extraction is a semantic binary segmentation problem, where blood vasculature needs to be
Externí odkaz:
http://arxiv.org/abs/2203.10014