Continuous adjoint-based error estimation and its application to adaptive discontinuous Galerkin method

Huiqiang Yue; Tiegang Liu; V. Shaydurov

doi:10.1007/s10483-016-2102-6

Continuous adjoint-based error estimation and its application to adaptive discontinuous Galerkin method

Huiqiang Yue
, Tiegang Liu^*
, V. Shaydurov

^*Corresponding author for this work

School of Mathematical Sciences

Beihang University

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

4 Scopus citations

Abstract

An adaptive mesh refinement algorithm based on a continuous adjoint approach is developed. Both the primal equation and the adjoint equation are approximated with the discontinuous Galerkin (DG) method. The proposed adaptive algorithm is used in compressible Euler equations. Numerical tests are made to show the superiority of the proposed adaptive algorithm.

Original language	English
Pages (from-to)	1419-1430
Number of pages	12
Journal	Applied Mathematics and Mechanics (English Edition)
Volume	37
Issue number	11
DOIs	https://doi.org/10.1007/s10483-016-2102-6
State	Published - 1 Nov 2016

Keywords

adaptivity
adjoint
discontinuous Galerkin (DG)

Access to Document

10.1007/s10483-016-2102-6

Cite this

@article{cdb51d8bb20b4e03a99656ca5d5cd5ca,

title = "Continuous adjoint-based error estimation and its application to adaptive discontinuous Galerkin method",

abstract = "An adaptive mesh refinement algorithm based on a continuous adjoint approach is developed. Both the primal equation and the adjoint equation are approximated with the discontinuous Galerkin (DG) method. The proposed adaptive algorithm is used in compressible Euler equations. Numerical tests are made to show the superiority of the proposed adaptive algorithm.",

keywords = "adaptivity, adjoint, discontinuous Galerkin (DG)",

author = "Huiqiang Yue and Tiegang Liu and V. Shaydurov",

year = "2016",

month = nov,

day = "1",

doi = "10.1007/s10483-016-2102-6",

language = "英语",

volume = "37",

pages = "1419--1430",

journal = "Applied Mathematics and Mechanics (English Edition)",

issn = "0253-4827",

publisher = "Springer China",

number = "11",

}

TY - JOUR

T1 - Continuous adjoint-based error estimation and its application to adaptive discontinuous Galerkin method

AU - Yue, Huiqiang

AU - Liu, Tiegang

AU - Shaydurov, V.

PY - 2016/11/1

Y1 - 2016/11/1

N2 - An adaptive mesh refinement algorithm based on a continuous adjoint approach is developed. Both the primal equation and the adjoint equation are approximated with the discontinuous Galerkin (DG) method. The proposed adaptive algorithm is used in compressible Euler equations. Numerical tests are made to show the superiority of the proposed adaptive algorithm.

AB - An adaptive mesh refinement algorithm based on a continuous adjoint approach is developed. Both the primal equation and the adjoint equation are approximated with the discontinuous Galerkin (DG) method. The proposed adaptive algorithm is used in compressible Euler equations. Numerical tests are made to show the superiority of the proposed adaptive algorithm.

KW - adaptivity

KW - adjoint

KW - discontinuous Galerkin (DG)

UR - https://www.scopus.com/pages/publications/84969821525

U2 - 10.1007/s10483-016-2102-6

DO - 10.1007/s10483-016-2102-6

M3 - 文章

AN - SCOPUS:84969821525

SN - 0253-4827

VL - 37

SP - 1419

EP - 1430

JO - Applied Mathematics and Mechanics (English Edition)

JF - Applied Mathematics and Mechanics (English Edition)

IS - 11

ER -

Continuous adjoint-based error estimation and its application to adaptive discontinuous Galerkin method

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this