AN EXTENDED GALERKIN ANALYSIS IN FINITE ELEMENT EXTERIOR CALCULUS

Qingguo Hong; Yuwen Li; Jinchao Xu

doi:10.1090/mcom/3707

AN EXTENDED GALERKIN ANALYSIS IN FINITE ELEMENT EXTERIOR CALCULUS

Qingguo Hong, Yuwen Li, Jinchao Xu

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

5 Scopus citations

Abstract

For the Hodge-Laplace equation in finite element exterior calculus, we introduce several families of discontinuous Galerkin methods in the extended Galerkin framework. For contractible domains, this framework utilizes seven fields and provides a unifying inf-sup analysis with respect to all discretization and penalty parameters. It is shown that the proposed methods can be hybridized as a reduced two-field formulation.

Original language	English (US)
Pages (from-to)	1077-1106
Number of pages	30
Journal	Mathematics of Computation
Volume	91
Issue number	335
DOIs	https://doi.org/10.1090/mcom/3707
State	Published - 2022

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Computational Mathematics
Applied Mathematics

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10.1090/mcom/3707

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title = "AN EXTENDED GALERKIN ANALYSIS IN FINITE ELEMENT EXTERIOR CALCULUS",

abstract = "For the Hodge-Laplace equation in finite element exterior calculus, we introduce several families of discontinuous Galerkin methods in the extended Galerkin framework. For contractible domains, this framework utilizes seven fields and provides a unifying inf-sup analysis with respect to all discretization and penalty parameters. It is shown that the proposed methods can be hybridized as a reduced two-field formulation.",

author = "Qingguo Hong and Yuwen Li and Jinchao Xu",

year = "2022",

doi = "10.1090/mcom/3707",

language = "English (US)",

volume = "91",

pages = "1077--1106",

journal = "Mathematics of Computation",

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publisher = "American Mathematical Society",

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T1 - AN EXTENDED GALERKIN ANALYSIS IN FINITE ELEMENT EXTERIOR CALCULUS

AU - Hong, Qingguo

AU - Li, Yuwen

AU - Xu, Jinchao

PY - 2022

Y1 - 2022

N2 - For the Hodge-Laplace equation in finite element exterior calculus, we introduce several families of discontinuous Galerkin methods in the extended Galerkin framework. For contractible domains, this framework utilizes seven fields and provides a unifying inf-sup analysis with respect to all discretization and penalty parameters. It is shown that the proposed methods can be hybridized as a reduced two-field formulation.

AB - For the Hodge-Laplace equation in finite element exterior calculus, we introduce several families of discontinuous Galerkin methods in the extended Galerkin framework. For contractible domains, this framework utilizes seven fields and provides a unifying inf-sup analysis with respect to all discretization and penalty parameters. It is shown that the proposed methods can be hybridized as a reduced two-field formulation.

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U2 - 10.1090/mcom/3707

DO - 10.1090/mcom/3707

M3 - Article

AN - SCOPUS:85129428039

SN - 0025-5718

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EP - 1106

JO - Mathematics of Computation

JF - Mathematics of Computation

IS - 335

ER -

AN EXTENDED GALERKIN ANALYSIS IN FINITE ELEMENT EXTERIOR CALCULUS

Abstract

All Science Journal Classification (ASJC) codes

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