Two-grid virtual element discretization of quasilinear elliptic problem
In this paper a two grid algorithm for quasilinear elliptic problem based on virtual element method (VEM) discretization is proposed. With this new algorithm the solution of a quasilinear elliptic problem on a fine grid is reduced to the solution of a quasilinear elliptic problem on a much coarser...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Vilnius Gediminas Technical University
2024-02-01
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| Series: | Mathematical Modelling and Analysis |
| Subjects: | |
| Online Access: | https://jcem.vgtu.lt/index.php/MMA/article/view/17745 |
| _version_ | 1797296725236383744 |
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| author | Fengxin Chen Minghui Yang Zhaojie Zhou |
| author_facet | Fengxin Chen Minghui Yang Zhaojie Zhou |
| author_sort | Fengxin Chen |
| collection | DOAJ |
| description |
In this paper a two grid algorithm for quasilinear elliptic problem based on virtual element method (VEM) discretization is proposed. With this new algorithm the solution of a quasilinear elliptic problem on a fine grid is reduced to the solution of a quasilinear elliptic problem on a much coarser grid, and the solution of a linear system on the fine grid. A priori error estimate in H1 norm is derived. Numerical experiments are carried out to illustrate the theoretical findings.
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| first_indexed | 2024-03-07T22:09:58Z |
| format | Article |
| id | doaj.art-3e5b8766741e40029daf0ef40a5c42b3 |
| institution | Directory Open Access Journal |
| issn | 1392-6292 1648-3510 |
| language | English |
| last_indexed | 2024-03-07T22:09:58Z |
| publishDate | 2024-02-01 |
| publisher | Vilnius Gediminas Technical University |
| record_format | Article |
| series | Mathematical Modelling and Analysis |
| spelling | doaj.art-3e5b8766741e40029daf0ef40a5c42b32024-02-23T16:24:15ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102024-02-0129110.3846/mma.2024.17745Two-grid virtual element discretization of quasilinear elliptic problemFengxin Chen0Minghui Yang1Zhaojie Zhou2School of Science, Shandong Jiaotong University, 250357 Jinan, ChinaSchool of Mathematics and Statistics, Shandong Normal University, 250014 Jinan, ChinaSchool of Mathematics and Statistics, Shandong Normal University, 250014 Jinan, China In this paper a two grid algorithm for quasilinear elliptic problem based on virtual element method (VEM) discretization is proposed. With this new algorithm the solution of a quasilinear elliptic problem on a fine grid is reduced to the solution of a quasilinear elliptic problem on a much coarser grid, and the solution of a linear system on the fine grid. A priori error estimate in H1 norm is derived. Numerical experiments are carried out to illustrate the theoretical findings. https://jcem.vgtu.lt/index.php/MMA/article/view/17745virtual element methodtwo grid algorithma priori error estimate |
| spellingShingle | Fengxin Chen Minghui Yang Zhaojie Zhou Two-grid virtual element discretization of quasilinear elliptic problem Mathematical Modelling and Analysis virtual element method two grid algorithm a priori error estimate |
| title | Two-grid virtual element discretization of quasilinear elliptic problem |
| title_full | Two-grid virtual element discretization of quasilinear elliptic problem |
| title_fullStr | Two-grid virtual element discretization of quasilinear elliptic problem |
| title_full_unstemmed | Two-grid virtual element discretization of quasilinear elliptic problem |
| title_short | Two-grid virtual element discretization of quasilinear elliptic problem |
| title_sort | two grid virtual element discretization of quasilinear elliptic problem |
| topic | virtual element method two grid algorithm a priori error estimate |
| url | https://jcem.vgtu.lt/index.php/MMA/article/view/17745 |
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