activity
20032022
most citedKorn's inequality and Jones eigenpairs

1 citations · 1 across the 4 of their papers we have counts for

collaborators

10 papers

math.NA2022

A Steklov-spectral approach for solutions of Dirichlet and Robin boundary value problems

Kthim Imeri, Nilima Nigam

In this paper we revisit an approach pioneered by Auchmuty to approximate solutions of the Laplace- Robin boundary value problem. We demonstrate the efficacy of this approach on a…

math.NA2020

A simple extrapolation method for clustered eigenvalues

Nilima Nigam, Sara Pollock

This paper introduces a simple variant of the power method. It is shown analytically and numerically to accelerate convergence to the dominant eigenvalue/eigenvector pair; and, it…

q-bio.TO2020

The energy of muscle contraction. II. Transverse compression and work

D. S. Ryan, S. Domínguez, S. A. Ross +2

In this study we reproduced this compression-induced reduction in muscle force through the use of a three-dimensional finite element model of contracting muscle. The model used the…

physics.bio-ph2020

The energy of muscle contraction. I. Tissue force and deformation during isometric contractions

J. M. Wakeling, S. A. Ross, D. S. Ryan +4

During contraction the energy of muscle tissue increases due to energy from the hydrolysis of ATP. This energy is distributed across the tissue as strain-energy potentials in the c…

math.AP20191 cited

Korn's inequality and Jones eigenpairs

Sebastián Domínguez, Nilima Nigam

In this paper we show that Korn's inequality \cite{ref:korn1906} holds for vector fields with a zero normal or tangential trace on a subset (of positive measure) of the boundary of…

math-ph2019

Wave Enhancement through Optimization of Boundary Conditions

Habib Ammari, Oscar Bruno, Kthim Imeri +1

It is well known that changing boundary conditions for the Laplacian from Dirichlet to Neumann can result in significant changes to the associated eigenmodes, while keeping the eig…