Two-grid hp-DGFEM for second order quasilinear elliptic PDEs based on an incomplete Newton iteration
In this paper we propose a class of so-called two-grid hp-version discontinuous Galerkin finite element methods for the numerical solution of a second-order quasilinear elliptic boundary value problem based on the application of a single step of a nonlinear Newton solver. We present both the a prior...
| Main Authors: | , |
|---|---|
| Format: | Conference or Workshop Item |
| Published: |
2013
|
| Subjects: | |
| Online Access: | https://eprints.nottingham.ac.uk/29681/ |
| _version_ | 1848793830660243456 |
|---|---|
| author | Congreve, Scott Houston, Paul |
| author_facet | Congreve, Scott Houston, Paul |
| author_sort | Congreve, Scott |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | In this paper we propose a class of so-called two-grid hp-version discontinuous Galerkin finite element methods for the numerical solution of a second-order quasilinear elliptic boundary value problem based on the application of a single step of a nonlinear Newton solver. We present both the a priori and a posteriori error analysis of this two-grid hp-version DGFEM as well as performing numerical experiments to validate the bounds. |
| first_indexed | 2025-11-14T19:06:32Z |
| format | Conference or Workshop Item |
| id | nottingham-29681 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:06:32Z |
| publishDate | 2013 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-296812020-05-04T20:19:57Z https://eprints.nottingham.ac.uk/29681/ Two-grid hp-DGFEM for second order quasilinear elliptic PDEs based on an incomplete Newton iteration Congreve, Scott Houston, Paul In this paper we propose a class of so-called two-grid hp-version discontinuous Galerkin finite element methods for the numerical solution of a second-order quasilinear elliptic boundary value problem based on the application of a single step of a nonlinear Newton solver. We present both the a priori and a posteriori error analysis of this two-grid hp-version DGFEM as well as performing numerical experiments to validate the bounds. 2013 Conference or Workshop Item PeerReviewed Congreve, Scott and Houston, Paul (2013) Two-grid hp-DGFEM for second order quasilinear elliptic PDEs based on an incomplete Newton iteration. In: Proceedings of the Eighth International Conference on Scientific Computing and Applications, 1-4 April 2012, Las Vegas, USA. discontinuous Galerkin methods two-grid finite element methods |
| spellingShingle | discontinuous Galerkin methods two-grid finite element methods Congreve, Scott Houston, Paul Two-grid hp-DGFEM for second order quasilinear elliptic PDEs based on an incomplete Newton iteration |
| title | Two-grid hp-DGFEM for second order quasilinear elliptic PDEs based on an incomplete Newton iteration |
| title_full | Two-grid hp-DGFEM for second order quasilinear elliptic PDEs based on an incomplete Newton iteration |
| title_fullStr | Two-grid hp-DGFEM for second order quasilinear elliptic PDEs based on an incomplete Newton iteration |
| title_full_unstemmed | Two-grid hp-DGFEM for second order quasilinear elliptic PDEs based on an incomplete Newton iteration |
| title_short | Two-grid hp-DGFEM for second order quasilinear elliptic PDEs based on an incomplete Newton iteration |
| title_sort | two-grid hp-dgfem for second order quasilinear elliptic pdes based on an incomplete newton iteration |
| topic | discontinuous Galerkin methods two-grid finite element methods |
| url | https://eprints.nottingham.ac.uk/29681/ |