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Simple numerical solutions to the Einstein constraints on various three-manifolds

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Publication:2098162
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DOI10.1007/s10714-022-03014-2OpenAlexW4307401244MaRDI QIDQ2098162

Fan Zhang, Lee Lindblom

Publication date: 17 November 2022

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.01845


zbMATH Keywords

Yamabe problemnumerical solutionsnumerical relativityEinstein constraints


Mathematics Subject Classification ID

Relativity and gravitational theory (83-XX)



Uses Software

  • Regina


Cites Work

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  • Solving partial differential equations numerically on manifolds with arbitrary spatial topologies
  • A multidomain spectral method for solving elliptic equations
  • Initial data for numerical relativity
  • Constructing reference metrics on multicube representations of arbitrary manifolds
  • Improvements to the construction of binary black hole initial data
  • INITIAL CONDITIONS FOR NUMERICAL RELATIVITY: INTRODUCTION TO NUMERICAL METHODS FOR SOLVING ELLIPTIC PDEs
  • Constant mean curvature solutions of the Einstein constraint equations on closed manifolds
  • The Geometries of 3-Manifolds


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