Zobrazeno 1 - 10
of 7 076
pro vyhledávání: '"Scott, James A."'
We present a study on asymptotically compatible Galerkin discretizations for a class of parametrized nonlinear variational problems. The abstract analytical framework is based on variational convergence, or Gamma-convergence. We demonstrate the broad
Externí odkaz:
http://arxiv.org/abs/2402.07749
We study the minimizers of a degenerate case of the Ohta-Kawasaki energy, defined as the sum of the perimeter and a Coulombic nonlocal term. We start by investigating radially symmetric candidates which give us insights into the asymptotic behaviors
Externí odkaz:
http://arxiv.org/abs/2401.05679
Forced alignment systems automatically determine boundaries between segments in speech data, given an orthographic transcription. These tools are commonplace in phonetics to facilitate the use of speech data that would be infeasible to manually trans
Externí odkaz:
http://arxiv.org/abs/2310.15425
We investigate the Robin eigenvalue problem for the Laplacian with negative boundary parameter on quadrilateral domains of fixed area. In this paper, we prove that the square is a local maximiser of the first eigenvalue with respect to the Hausdorff
Externí odkaz:
http://arxiv.org/abs/2309.06446
Autor:
Scott, James M., Du, Qiang
We study nonlocal integral equations on bounded domains with finite-range nonlocal interactions that are localized at the boundary. We establish a Green's identity for the nonlocal operator that recovers the classical boundary integral, which, along
Externí odkaz:
http://arxiv.org/abs/2308.05180
Autor:
Scott, James M., Du, Qiang
We present a systematic study on a class of nonlocal integral functionals for functions defined on a bounded domain and the naturally induced function spaces. The function spaces are equipped with a seminorm depending on finite differences weighted b
Externí odkaz:
http://arxiv.org/abs/2307.08855
Autor:
Mengesha, Tadele, Scott, James M.
We consider a class of nonconvex energy functionals that lies in the framework of the peridynamics model of continuum mechanics. The energy densities are functions of a nonlocal strain that describes deformation based on pairwise interaction of mater
Externí odkaz:
http://arxiv.org/abs/2306.15446
Autor:
Gao, Yuan, Scott, James M.
We study the existence and uniqueness of solutions to the vector field Peierls-Nabarro model for curved dislocations in a transversely isotropic medium. Under suitable assumptions for the misfit potential on the slip plane, we reduce the 3D Peierls-N
Externí odkaz:
http://arxiv.org/abs/2304.01268
Autor:
Scott, James M., Du, Qiang
We describe and analyze nonlocal integro-differential equations with classical local boundary conditions. The interaction kernel of the nonlocal operator has horizon parameter dependent on position in the domain, and vanishes as the boundary of the d
Externí odkaz:
http://arxiv.org/abs/2301.02923