ON THE CONVERGENCE OF THE DISCONTINUOUS GALERKIN SCHEME FOR EINSTEIN-SCALAR EQUATIONS

被引：0
|
作者：
Chen, Yuewen [1 ]
Shu, Chi-wang [2 ]
Yau, Shing-tung [1 ,3 ]
机构：
[1] Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China
[2] Brown Univ, Div Appl Math, Providence, RI 02912 USA
[3] Yanqi Lake Beijing Inst Math Sci & Applicat, Beijing 101408, Peoples R China
来源：
MATHEMATICS OF COMPUTATION | 2025年
关键词：
Einstein-scalar equations; discontinuous Galerkin scheme; FINITE-ELEMENT-METHOD; CONSERVATION-LAWS; GENERALIZED SOLUTIONS; NUMERICAL RELATIVITY; GRAVITATIONAL-WAVES; BOUNDARY-CONDITIONS; SMOOTH SOLUTIONS; EVOLUTION;
D O I：
10.1090/mcom/4077
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the stability and convergence of the high order discontinuous Galerkin scheme to spherically symmetric Einstein-scalar equations for a class of large initial data that ensures the formation of a black hole. Having chosen the Bondi coordinate system, we achieve L2 stability and obtain the optimal error estimates.
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页数：31
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