A method of boundary equations for unsteady hyperbolic problems in 3D

S. Petropavlovsky; S. Tsynkov; E. Turkel

doi:10.1007/978-3-030-38870-6_38

A method of boundary equations for unsteady hyperbolic problems in 3D

S. Petropavlovsky, S. Tsynkov^*, E. Turkel

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

2 Scopus citations

Abstract

We propose an efficient algorithm based on boundary operator equations for the numerical simulation of time-dependent waves in 3D. The algorithm employs the method of difference potentials combined with the (strong) Huygens' principle (lacunae of the solution). It can handle nonconforming boundaries on regular structured grids with no loss of accuracy and offers sublinear computational complexity.

Original language	English
Title of host publication	Continuum Mechanics, Applied Mathematics and Scientific Computing
Subtitle of host publication	Godunov's Legacy: A Liber Amicorum to Professor Godunov
Publisher	Springer International Publishing
Pages	291-297
Number of pages	7
ISBN (Electronic)	9783030388706
ISBN (Print)	9783030388690
DOIs	https://doi.org/10.1007/978-3-030-38870-6_38
State	Published - 3 Apr 2020

Access to Document

10.1007/978-3-030-38870-6_38

Cite this

@inbook{ea3ce483c3c74446895d6e2050208891,

title = "A method of boundary equations for unsteady hyperbolic problems in 3D",

abstract = "We propose an efficient algorithm based on boundary operator equations for the numerical simulation of time-dependent waves in 3D. The algorithm employs the method of difference potentials combined with the (strong) Huygens' principle (lacunae of the solution). It can handle nonconforming boundaries on regular structured grids with no loss of accuracy and offers sublinear computational complexity.",

author = "S. Petropavlovsky and S. Tsynkov and E. Turkel",

note = "Publisher Copyright: {\textcopyright} Springer Nature Switzerland AG 2020.",

year = "2020",

month = apr,

day = "3",

doi = "10.1007/978-3-030-38870-6_38",

language = "אנגלית",

isbn = "9783030388690",

pages = "291--297",

booktitle = "Continuum Mechanics, Applied Mathematics and Scientific Computing",

publisher = "Springer International Publishing",

address = "שוויץ",

}

A method of boundary equations for unsteady hyperbolic problems in 3D. / Petropavlovsky, S.; Tsynkov, S.; Turkel, E.
Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov. Springer International Publishing, 2020. p. 291-297.

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

TY - CHAP

T1 - A method of boundary equations for unsteady hyperbolic problems in 3D

AU - Petropavlovsky, S.

AU - Tsynkov, S.

AU - Turkel, E.

PY - 2020/4/3

Y1 - 2020/4/3

N2 - We propose an efficient algorithm based on boundary operator equations for the numerical simulation of time-dependent waves in 3D. The algorithm employs the method of difference potentials combined with the (strong) Huygens' principle (lacunae of the solution). It can handle nonconforming boundaries on regular structured grids with no loss of accuracy and offers sublinear computational complexity.

AB - We propose an efficient algorithm based on boundary operator equations for the numerical simulation of time-dependent waves in 3D. The algorithm employs the method of difference potentials combined with the (strong) Huygens' principle (lacunae of the solution). It can handle nonconforming boundaries on regular structured grids with no loss of accuracy and offers sublinear computational complexity.

UR - http://www.scopus.com/inward/record.url?scp=85096788284&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-38870-6_38

DO - 10.1007/978-3-030-38870-6_38

M3 - ???researchoutput.researchoutputtypes.contributiontobookanthology.chapter???

AN - SCOPUS:85096788284

SN - 9783030388690

SP - 291

EP - 297

BT - Continuum Mechanics, Applied Mathematics and Scientific Computing

PB - Springer International Publishing

ER -

A method of boundary equations for unsteady hyperbolic problems in 3D

Abstract

Access to Document

Other files and links

Fingerprint

Cite this