63 citations · 143 across the 25 of their papers we have counts for
26 papers
A novel four-field mixed variational approach to Kirchhoff rods implemented with finite element exterior calculus
Jamun Kumar N, Bensingh Dhas, Arun R Srinivasa +2
A four-field mixed variational principle is proposed for large deformation analysis of Kirchhoff rods with a mixed FE approximations. The core idea behind the approach is to…
Geometrically adapted Langevin dynamics for Markov chain Monte Carlo simulations
Mariya Mamajiwala, Debasish Roy, Serge Guillas
Markov Chain Monte Carlo (MCMC) is one of the most powerful methods to sample from a given probability distribution, of which the Metropolis Adjusted Langevin Algorithm (MALA) is a…
A mixed method for 3D nonlinear elasticity using finite element exterior calculus
Bensingh Dhas, Jamun Kumar, Debasish Roy +1
This article discusses a mixed FE technique for 3D nonlinear elasticity using a Hu-Washizu (HW) type variational principle. Here, the deformed configuration and sections from its c…
A mixed variational principle in nonlinear elasticity using Cartan's moving frame and implementation with finite element exterior calculus
Bensingh Dhas, Jamun Kumar N, Debasish Roy +1
This article offers a new perspective for the mechanics of solids using moving Cartan's frame, specifically discussing a mixed variational principle in non-linear elasticity. We tr…
A geometric approach to Hu-Washizu variational principle in nonlinear elasticity
Bensingh Dhas, Debasish Roy
We discuss the Hu-Washizu (HW) variational principle from a geometric standpoint. The mainstay of the present approach is to treat quantities defined on the co-tangent bundles of r…
Stochastic dynamical systems developed on Riemannian manifolds
Mariya Mamajiwala, Debasish Roy
We propose a method for developing the flows of stochastic dynamical systems, posed as Ito's stochastic differential equations, on a Riemannian manifold identified through a suitab…