The nonlinear sigma model with distributed adaptive mesh refinement
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Publication:4832338
DOI10.1088/0264-9381/21/16/012zbMATH Open1087.81044arXivgr-qc/0403076OpenAlexW1977273369MaRDI QIDQ4832338
Publication date: 4 January 2005
Published in: Classical and Quantum Gravity (Search for Journal in Brave)
Abstract: An adaptive mesh refinement (AMR) scheme is implemented in a distributed environment using Message Passing Interface (MPI) to find solutions to the nonlinear sigma model. Previous work studied behavior similar to black hole critical phenomena at the threshold for singularity formation in this flat space model. This work is a follow-up describing extensions to distribute the grid hierarchy and presenting tests showing the correctness of the model.
Full work available at URL: https://arxiv.org/abs/gr-qc/0403076
Related Items (2)
Adaptive mesh refinement for characteristic grids ⋮ Lessons for adaptive mesh refinement in numerical relativity
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