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math.NA2022★ 2 cited
Fast Computation of Electrostatic Potentials for Piecewise Constant Conductivities
Kyle Bower, Kirill Serkh, Spyros Alexakis +1
We present a novel numerical method for solving the elliptic partial differential equation problem for the electrostatic potential with piecewise constant conductivity. We employ a…
gr-qc2022
Squeezing a fixed amount of gravitational energy to arbitrarily small scales, in symmetry
Spyros Alexakis, Nathan Thomas Carruth
We prove uniform finite-time existence of solutions to the vacuum Einstein equations in polarized U(1) symmetry which have uniformly positive incoming energy supported on an…