Numerical solution of a hyperbolic free boundary problem with a method of characteristics

M. Brokate

doi:10.1007/BF01400257

Numerical solution of a hyperbolic free boundary problem with a method of characteristics

M. Brokate

University Hospital Augsburg

Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

Abstract

For a free boundary problem for a linear hyperbolic system in one space dimension with two unknowns we discuss a numerical algorithm which combines the method of characteristics and the front tracking method. We prove quadratic resp. linear convergence and illustrate this with numerical examples.

Originalsprache	Englisch
Seiten (von - bis)	85-99
Seitenumfang	15
Fachzeitschrift	Numerische Mathematik
Jahrgang	46
Ausgabenummer	1
DOIs	https://doi.org/10.1007/BF01400257
Publikationsstatus	Veröffentlicht - März 1985
Extern publiziert	Ja

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title = "Numerical solution of a hyperbolic free boundary problem with a method of characteristics",

abstract = "For a free boundary problem for a linear hyperbolic system in one space dimension with two unknowns we discuss a numerical algorithm which combines the method of characteristics and the front tracking method. We prove quadratic resp. linear convergence and illustrate this with numerical examples.",

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author = "M. Brokate",

year = "1985",

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PY - 1985/3

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AB - For a free boundary problem for a linear hyperbolic system in one space dimension with two unknowns we discuss a numerical algorithm which combines the method of characteristics and the front tracking method. We prove quadratic resp. linear convergence and illustrate this with numerical examples.

KW - Subject Classifications: AMS (MOS): 65N99, 35R35, CR: G1.8

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DO - 10.1007/BF01400257

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JO - Numerische Mathematik

JF - Numerische Mathematik

IS - 1

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Numerical solution of a hyperbolic free boundary problem with a method of characteristics

Abstract

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