Multigrid elliptic equation solver with adaptive mesh refinement

Details Multigrid elliptic equation solver with adaptive mesh refinement Multigrid elliptic equation solver with adaptive mesh refinement

2004-11-23

arxiv.org/abs/gr-qc/0411112v2

J.Comput.Phys. 209 (2005) 582-598

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, 9 figures, Modified in response to reviewer suggestions, added figure, added references. Accepted for publication in

Scientific paper

10.1016/j.jcp.2005.03.026

In this paper we describe in detail the computational algorithm used by our parallel multigrid elliptic equation solver with adaptive mesh refinement. Our code uses truncation error estimates to adaptively refine the grid as part of the solution process. The presentation includes a discussion of the orders of accuracy that we use for prolongation and restriction operators to ensure second order accurate results and to minimize computational work. Code tests are presented that confirm the overall second order accuracy and demonstrate the savings in computational resources provided by adaptive mesh refinement.

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