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.

引用

页数：31

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