Two-Level Brezzi-Pitkäranta Discretization Method Based on Newton Iteration for Navier-Stokes Equations with Friction Boundary Conditions
We present a new stabilized finite element method for Navier-Stokes equations with friction slip boundary conditions based on Brezzi-Pitkäranta stabilized method. The stability and error estimates of numerical solutions in some norms are derived for standard one-level method. Combining the technique...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/474160 |
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| _version_ | 1832548353425014784 |
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| author | Rong An Xian Wang |
| author_facet | Rong An Xian Wang |
| author_sort | Rong An |
| collection | DOAJ |
| description | We present a new stabilized finite element method for Navier-Stokes equations with friction slip boundary conditions based on Brezzi-Pitkäranta stabilized method. The stability and error estimates of numerical solutions in some norms are derived for standard one-level method. Combining the techniques of two-level discretization method, we propose two-level Newton iteration method and show the stability and error estimate. Finally, the numerical experiments are given to support the theoretical results and to check the efficiency of this two-level iteration method. |
| format | Article |
| id | doaj-art-c892e706bcab45d9aa7825dbbb5d1b3c |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-c892e706bcab45d9aa7825dbbb5d1b3c2025-02-03T06:14:16ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/474160474160Two-Level Brezzi-Pitkäranta Discretization Method Based on Newton Iteration for Navier-Stokes Equations with Friction Boundary ConditionsRong An0Xian Wang1College of Mathematics and Information Science, Wenzhou University, Wenzhou 325035, ChinaCollege of Mathematics and Information Science, Wenzhou University, Wenzhou 325035, ChinaWe present a new stabilized finite element method for Navier-Stokes equations with friction slip boundary conditions based on Brezzi-Pitkäranta stabilized method. The stability and error estimates of numerical solutions in some norms are derived for standard one-level method. Combining the techniques of two-level discretization method, we propose two-level Newton iteration method and show the stability and error estimate. Finally, the numerical experiments are given to support the theoretical results and to check the efficiency of this two-level iteration method.http://dx.doi.org/10.1155/2014/474160 |
| spellingShingle | Rong An Xian Wang Two-Level Brezzi-Pitkäranta Discretization Method Based on Newton Iteration for Navier-Stokes Equations with Friction Boundary Conditions Abstract and Applied Analysis |
| title | Two-Level Brezzi-Pitkäranta Discretization Method Based on Newton Iteration for Navier-Stokes Equations with Friction Boundary Conditions |
| title_full | Two-Level Brezzi-Pitkäranta Discretization Method Based on Newton Iteration for Navier-Stokes Equations with Friction Boundary Conditions |
| title_fullStr | Two-Level Brezzi-Pitkäranta Discretization Method Based on Newton Iteration for Navier-Stokes Equations with Friction Boundary Conditions |
| title_full_unstemmed | Two-Level Brezzi-Pitkäranta Discretization Method Based on Newton Iteration for Navier-Stokes Equations with Friction Boundary Conditions |
| title_short | Two-Level Brezzi-Pitkäranta Discretization Method Based on Newton Iteration for Navier-Stokes Equations with Friction Boundary Conditions |
| title_sort | two level brezzi pitkaranta discretization method based on newton iteration for navier stokes equations with friction boundary conditions |
| url | http://dx.doi.org/10.1155/2014/474160 |
| work_keys_str_mv | AT rongan twolevelbrezzipitkarantadiscretizationmethodbasedonnewtoniterationfornavierstokesequationswithfrictionboundaryconditions AT xianwang twolevelbrezzipitkarantadiscretizationmethodbasedonnewtoniterationfornavierstokesequationswithfrictionboundaryconditions |