Finite volume relaxation schemes for multidimensional conservation laws

Theodoros Katsaounis; Charalambos Makridakis

doi:10.1090/S0025-5718-00-01188-1

Finite volume relaxation schemes for multidimensional conservation laws

Theodoros Katsaounis^*, Charalambos Makridakis

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

We consider finite volume relaxation schemes for multidimensional scalar conservation laws. These schemes are constructed by appropriate discretization of a relaxation system and it is shown to converge to the entropy solution of the conservation law with a rate of h^1/4 in L^∞([0,T], L¹_loc(ℝ^d)).

Original language	English (US)
Pages (from-to)	533-553
Number of pages	21
Journal	MATHEMATICS OF COMPUTATION
Volume	70
Issue number	234
DOIs	https://doi.org/10.1090/S0025-5718-00-01188-1
State	Published - Apr 2001
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory
Computational Mathematics
Applied Mathematics

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title = "Finite volume relaxation schemes for multidimensional conservation laws",

abstract = "We consider finite volume relaxation schemes for multidimensional scalar conservation laws. These schemes are constructed by appropriate discretization of a relaxation system and it is shown to converge to the entropy solution of the conservation law with a rate of h1/4 in L∞([0,T], L1loc(ℝd)).",

author = "Theodoros Katsaounis and Charalambos Makridakis",

year = "2001",

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doi = "10.1090/S0025-5718-00-01188-1",

language = "English (US)",

volume = "70",

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journal = "MATHEMATICS OF COMPUTATION",

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T1 - Finite volume relaxation schemes for multidimensional conservation laws

AU - Katsaounis, Theodoros

AU - Makridakis, Charalambos

PY - 2001/4

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N2 - We consider finite volume relaxation schemes for multidimensional scalar conservation laws. These schemes are constructed by appropriate discretization of a relaxation system and it is shown to converge to the entropy solution of the conservation law with a rate of h1/4 in L∞([0,T], L1loc(ℝd)).

AB - We consider finite volume relaxation schemes for multidimensional scalar conservation laws. These schemes are constructed by appropriate discretization of a relaxation system and it is shown to converge to the entropy solution of the conservation law with a rate of h1/4 in L∞([0,T], L1loc(ℝd)).

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U2 - 10.1090/S0025-5718-00-01188-1

DO - 10.1090/S0025-5718-00-01188-1

M3 - Article

AN - SCOPUS:0035531383

SN - 0025-5718

VL - 70

SP - 533

EP - 553

JO - MATHEMATICS OF COMPUTATION

JF - MATHEMATICS OF COMPUTATION

IS - 234

ER -

Finite volume relaxation schemes for multidimensional conservation laws

Abstract

ASJC Scopus subject areas

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