A first-order stabilization-free Virtual Element Method

In this paper, we introduce a new Virtual Element Method (VEM) not requiring any stabilization term based on the usual enhanced first-order VEM space. The new method relies on a modified formulation of the discrete diffusion operator that ensures stability preserving all the properties of the differ...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Berrone, Stefano [verfasserIn] Borio, Andrea [verfasserIn] Marcon, Francesca [verfasserIn] Teora, Gioana [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2023

Schlagwörter:	Virtual Element Method Stabilization-free Polygonal meshes

Übergeordnetes Werk:	Enthalten in: Applied mathematics letters - Amsterdam [u.a.] : Elsevier Sci., 1988, 142
Übergeordnetes Werk:	volume:142

DOI / URN:	10.1016/j.aml.2023.108641

Katalog-ID:	ELV063611422

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100	1		\|a Berrone, Stefano \|e verfasserin \|0 (orcid)0000-0001-8642-4258 \|4 aut
245	1	0	\|a A first-order stabilization-free Virtual Element Method
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520			\|a In this paper, we introduce a new Virtual Element Method (VEM) not requiring any stabilization term based on the usual enhanced first-order VEM space. The new method relies on a modified formulation of the discrete diffusion operator that ensures stability preserving all the properties of the differential operator.
650		4	\|a Virtual Element Method
650		4	\|a Stabilization-free
650		4	\|a Polygonal meshes
700	1		\|a Borio, Andrea \|e verfasserin \|0 (orcid)0000-0003-2016-5403 \|4 aut
700	1		\|a Marcon, Francesca \|e verfasserin \|4 aut
700	1		\|a Teora, Gioana \|e verfasserin \|0 (orcid)0000-0002-8540-3639 \|4 aut
773	0	8	\|i Enthalten in \|t Applied mathematics letters \|d Amsterdam [u.a.] : Elsevier Sci., 1988 \|g 142 \|h Online-Ressource \|w (DE-627)320434222 \|w (DE-600)2004138-X \|w (DE-576)094085595 \|7 nnns
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936	b	k	\|a 31.80 \|j Angewandte Mathematik \|q VZ
951			\|a AR
952			\|d 142

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allfields	10.1016/j.aml.2023.108641 doi (DE-627)ELV063611422 (ELSEVIER)S0893-9659(23)00073-3 DE-627 ger DE-627 rda eng 510 VZ 31.80 bkl Berrone, Stefano verfasserin (orcid)0000-0001-8642-4258 aut A first-order stabilization-free Virtual Element Method 2023 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, we introduce a new Virtual Element Method (VEM) not requiring any stabilization term based on the usual enhanced first-order VEM space. The new method relies on a modified formulation of the discrete diffusion operator that ensures stability preserving all the properties of the differential operator. Virtual Element Method Stabilization-free Polygonal meshes Borio, Andrea verfasserin (orcid)0000-0003-2016-5403 aut Marcon, Francesca verfasserin aut Teora, Gioana verfasserin (orcid)0000-0002-8540-3639 aut Enthalten in Applied mathematics letters Amsterdam [u.a.] : Elsevier Sci., 1988 142 Online-Ressource (DE-627)320434222 (DE-600)2004138-X (DE-576)094085595 nnns volume:142 GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2014 GBV_ILN_2025 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2056 GBV_ILN_2064 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.80 Angewandte Mathematik VZ AR 142
spelling	10.1016/j.aml.2023.108641 doi (DE-627)ELV063611422 (ELSEVIER)S0893-9659(23)00073-3 DE-627 ger DE-627 rda eng 510 VZ 31.80 bkl Berrone, Stefano verfasserin (orcid)0000-0001-8642-4258 aut A first-order stabilization-free Virtual Element Method 2023 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, we introduce a new Virtual Element Method (VEM) not requiring any stabilization term based on the usual enhanced first-order VEM space. The new method relies on a modified formulation of the discrete diffusion operator that ensures stability preserving all the properties of the differential operator. Virtual Element Method Stabilization-free Polygonal meshes Borio, Andrea verfasserin (orcid)0000-0003-2016-5403 aut Marcon, Francesca verfasserin aut Teora, Gioana verfasserin (orcid)0000-0002-8540-3639 aut Enthalten in Applied mathematics letters Amsterdam [u.a.] : Elsevier Sci., 1988 142 Online-Ressource (DE-627)320434222 (DE-600)2004138-X (DE-576)094085595 nnns volume:142 GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2014 GBV_ILN_2025 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2056 GBV_ILN_2064 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.80 Angewandte Mathematik VZ AR 142
allfields_unstemmed	10.1016/j.aml.2023.108641 doi (DE-627)ELV063611422 (ELSEVIER)S0893-9659(23)00073-3 DE-627 ger DE-627 rda eng 510 VZ 31.80 bkl Berrone, Stefano verfasserin (orcid)0000-0001-8642-4258 aut A first-order stabilization-free Virtual Element Method 2023 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, we introduce a new Virtual Element Method (VEM) not requiring any stabilization term based on the usual enhanced first-order VEM space. The new method relies on a modified formulation of the discrete diffusion operator that ensures stability preserving all the properties of the differential operator. Virtual Element Method Stabilization-free Polygonal meshes Borio, Andrea verfasserin (orcid)0000-0003-2016-5403 aut Marcon, Francesca verfasserin aut Teora, Gioana verfasserin (orcid)0000-0002-8540-3639 aut Enthalten in Applied mathematics letters Amsterdam [u.a.] : Elsevier Sci., 1988 142 Online-Ressource (DE-627)320434222 (DE-600)2004138-X (DE-576)094085595 nnns volume:142 GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2014 GBV_ILN_2025 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2056 GBV_ILN_2064 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.80 Angewandte Mathematik VZ AR 142
allfieldsGer	10.1016/j.aml.2023.108641 doi (DE-627)ELV063611422 (ELSEVIER)S0893-9659(23)00073-3 DE-627 ger DE-627 rda eng 510 VZ 31.80 bkl Berrone, Stefano verfasserin (orcid)0000-0001-8642-4258 aut A first-order stabilization-free Virtual Element Method 2023 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, we introduce a new Virtual Element Method (VEM) not requiring any stabilization term based on the usual enhanced first-order VEM space. The new method relies on a modified formulation of the discrete diffusion operator that ensures stability preserving all the properties of the differential operator. Virtual Element Method Stabilization-free Polygonal meshes Borio, Andrea verfasserin (orcid)0000-0003-2016-5403 aut Marcon, Francesca verfasserin aut Teora, Gioana verfasserin (orcid)0000-0002-8540-3639 aut Enthalten in Applied mathematics letters Amsterdam [u.a.] : Elsevier Sci., 1988 142 Online-Ressource (DE-627)320434222 (DE-600)2004138-X (DE-576)094085595 nnns volume:142 GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2014 GBV_ILN_2025 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2056 GBV_ILN_2064 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.80 Angewandte Mathematik VZ AR 142
allfieldsSound	10.1016/j.aml.2023.108641 doi (DE-627)ELV063611422 (ELSEVIER)S0893-9659(23)00073-3 DE-627 ger DE-627 rda eng 510 VZ 31.80 bkl Berrone, Stefano verfasserin (orcid)0000-0001-8642-4258 aut A first-order stabilization-free Virtual Element Method 2023 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, we introduce a new Virtual Element Method (VEM) not requiring any stabilization term based on the usual enhanced first-order VEM space. The new method relies on a modified formulation of the discrete diffusion operator that ensures stability preserving all the properties of the differential operator. Virtual Element Method Stabilization-free Polygonal meshes Borio, Andrea verfasserin (orcid)0000-0003-2016-5403 aut Marcon, Francesca verfasserin aut Teora, Gioana verfasserin (orcid)0000-0002-8540-3639 aut Enthalten in Applied mathematics letters Amsterdam [u.a.] : Elsevier Sci., 1988 142 Online-Ressource (DE-627)320434222 (DE-600)2004138-X (DE-576)094085595 nnns volume:142 GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2014 GBV_ILN_2025 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2056 GBV_ILN_2064 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.80 Angewandte Mathematik VZ AR 142
language	English
source	Enthalten in Applied mathematics letters 142 volume:142
sourceStr	Enthalten in Applied mathematics letters 142 volume:142
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bklname	Angewandte Mathematik
institution	findex.gbv.de
topic_facet	Virtual Element Method Stabilization-free Polygonal meshes
dewey-raw	510
isfreeaccess_bool	false
container_title	Applied mathematics letters
authorswithroles_txt_mv	Berrone, Stefano @@aut@@ Borio, Andrea @@aut@@ Marcon, Francesca @@aut@@ Teora, Gioana @@aut@@
publishDateDaySort_date	2023-01-01T00:00:00Z
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author	Berrone, Stefano
spellingShingle	Berrone, Stefano ddc 510 bkl 31.80 misc Virtual Element Method misc Stabilization-free misc Polygonal meshes A first-order stabilization-free Virtual Element Method
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topic_title	510 VZ 31.80 bkl A first-order stabilization-free Virtual Element Method Virtual Element Method Stabilization-free Polygonal meshes
topic	ddc 510 bkl 31.80 misc Virtual Element Method misc Stabilization-free misc Polygonal meshes
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title	A first-order stabilization-free Virtual Element Method
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title_full	A first-order stabilization-free Virtual Element Method
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author_browse	Berrone, Stefano Borio, Andrea Marcon, Francesca Teora, Gioana
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title_sort	a first-order stabilization-free virtual element method
title_auth	A first-order stabilization-free Virtual Element Method
abstract	In this paper, we introduce a new Virtual Element Method (VEM) not requiring any stabilization term based on the usual enhanced first-order VEM space. The new method relies on a modified formulation of the discrete diffusion operator that ensures stability preserving all the properties of the differential operator.
abstractGer	In this paper, we introduce a new Virtual Element Method (VEM) not requiring any stabilization term based on the usual enhanced first-order VEM space. The new method relies on a modified formulation of the discrete diffusion operator that ensures stability preserving all the properties of the differential operator.
abstract_unstemmed	In this paper, we introduce a new Virtual Element Method (VEM) not requiring any stabilization term based on the usual enhanced first-order VEM space. The new method relies on a modified formulation of the discrete diffusion operator that ensures stability preserving all the properties of the differential operator.
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title_short	A first-order stabilization-free Virtual Element Method
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author2	Borio, Andrea Marcon, Francesca Teora, Gioana
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doi_str	10.1016/j.aml.2023.108641
up_date	2024-07-06T19:49:17.186Z
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A first-order stabilization-free Virtual Element Method

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