A new finite element method for spherically symmetric relativistic collapse

DOI10.1016/0021-9991(87)90094-5zbMath0625.65132OpenAlexW2082438619MaRDI QIDQ579907

Patrick J. Mann

Publication date: 1987

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(87)90094-5

zbMATH Keywords

Einstein's equationsmoving finite element methodmixed finite element-finite difference numerical methodrelativistic spherical collapseRiemann shock tube problem

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Finite difference methods for boundary value problems involving PDEs (65N06) Partial differential equations of mathematical physics and other areas of application (35Q99) Applications to the sciences (65Z05) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

Cites Work

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• Some mixed finite element-finite difference methods for spherically symmetric relativistic collapse
• A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
• Moving Finite Elements. I
• Moving Finite Elements. II

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