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math.DG2023
Staticity of Asymptotically Hyperbolic Minimal Mass Extensions
Daniel Martin
In this paper, we give a definition for the Bartnik mass of a domain whose extensions are asymptotically hyperbolic manifolds. With this definition, we show that asymptotically hyp…
math.NA2023★ 7 cited
A High Order Cartesian Grid, Finite Volume Method for Elliptic Interface Problems
Will Thacher, Hans Johansen, Daniel Martin
We present a higher-order finite volume method for solving elliptic PDEs with jump conditions on interfaces embedded in a 2D Cartesian grid. Second, fourth, and sixth order accurac…