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  A hp-adaptive discontinuous Galerkin solver for elliptic equations in numerical relativity

Vincent, T., Pfeiffer, H. P., & Fischer, N. L. (in preparation). A hp-adaptive discontinuous Galerkin solver for elliptic equations in numerical relativity.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0004-3A87-3 Version Permalink: http://hdl.handle.net/21.11116/0000-0004-3A88-2
Genre: Paper

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1907.01572.pdf (Preprint), 8MB
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 Creators:
Vincent, Trevor, Author
Pfeiffer, Harald P.1, Author              
Fischer, Nils L., Author
Affiliations:
1Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_1933290              

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Free keywords: Physics, Computational Physics, physics.comp-ph,Computer Science, Numerical Analysis, cs.NA,General Relativity and Quantum Cosmology, gr-qc,Mathematics, Numerical Analysis, math.NA,
 Abstract: A considerable amount of attention has been given to discontinuous Galerkin methods for hyperbolic problems in numerical relativity, showing potential advantages of the methods in dealing with hydrodynamical shocks and other discontinuities. This paper investigates discontinuous Galerkin methods for the solution of elliptic problems in numerical relativity. We present a novel hp-adaptive numerical scheme for curvilinear and non-conforming meshes. It uses a multigrid preconditioner with a Chebyshev or Schwarz smoother to create a very scalable discontinuous Galerkin code on generic domains. The code employs compactification to move the outer boundary near spatial infinity. We explore the properties of the code on some test problems, including one mimicking Neutron stars with phase transitions. We also apply it to construct initial data for two or three black holes.

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 Dates: 2019-07-02
 Publication Status: Not specified
 Pages: 20 pages, 21 figures
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1907.01572
URI: http://arxiv.org/abs/1907.01572
 Degree: -

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