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101 papers · 1 filter
Coarsening with a frozen vertex
M. Damron, H. Kogan, C. M. Newman +1
In the standard nearest-neighbor coarsening model with state space and initial state chosen from symmetric product measure, it is known (see~\cite{NNS})…
The initial value problem in Lagrangian drift kinetic theory
J. W. Burby
Existing high-order variational drift kinetic theories contain unphysical rapidly varying modes that are not seen at low-orders. These unphysical modes, which may be rapidly oscill…
Eroding dipoles and vorticity growth for Euler flows in I. Axisymmetric flow without swirl
Stephen Childress, Andrew D. Gilbert, Paul Valiant
A review of analyses based upon anti-parallel vortex structures suggests that structurally stable vortex structures with eroding circulation may offer a path to the study of rapid…
Symmetry breaking in indented elastic cones
Sergio Conti, Heiner Olbermann, Ian Tobasco
Motivated by simulations of carbon nanocones (see Jordan and Crespi, Phys. Rev. Lett., 2004), we consider a variational plate model for an elastic cone under compression in the dir…
Second Kind Integral Equation Formulation for the Mode Calculation of Optical Waveguides
Jun Lai, Shidong Jiang
We present a second kind integral equation (SKIE) formulation for calculating the electromagnetic modes of optical waveguides, where the unknowns are only on material interfaces. T…
Numerical simulation of wave propagation in inhomogeneous media using Generalized Plane Waves
Lise-Marie Imbert-Gerard, Peter Monk
The Trefftz Discontinuous Galerkin (TDG) method is a technique for approximating the Helmholtz equation (or other linear wave equations) using piecewise defined local solutions of…