Discrete Mixed Petrov-Galerkin Finite Element Method for a Fourth-Order Two-Point Boundary Value Problem
A quadrature-based mixed Petrov-Galerkin finite element method is applied to a fourth-order linear ordinary differential equation. After employing a splitting technique, a cubic spline trial space and a piecewise linear test space are considered in the method. The integrals are then replaced by the...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2012/962070 |
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| author | L. Jones Tarcius Doss A. P. Nandini |
| author_facet | L. Jones Tarcius Doss A. P. Nandini |
| author_sort | L. Jones Tarcius Doss |
| collection | DOAJ |
| description | A quadrature-based mixed Petrov-Galerkin finite element method is applied to a fourth-order linear ordinary differential equation. After employing a splitting technique, a cubic spline trial space and a piecewise linear test space are considered in the method. The integrals are then replaced by the Gauss quadrature rule in the formulation itself. Optimal order a priori error estimates are obtained without any restriction on the mesh. |
| format | Article |
| id | doaj-art-5e0c8bb4e40f4713a9fe32ebcebcbfbf |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-5e0c8bb4e40f4713a9fe32ebcebcbfbf2025-08-20T02:06:03ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/962070962070Discrete Mixed Petrov-Galerkin Finite Element Method for a Fourth-Order Two-Point Boundary Value ProblemL. Jones Tarcius Doss0A. P. Nandini1Department of Mathematics, Anna University Chennai, CEG Campus, Chennai 600 025, IndiaDepartment of Mathematics, M.N.M Jain Engineering College, Thoraipakkam, Chennai 600097, IndiaA quadrature-based mixed Petrov-Galerkin finite element method is applied to a fourth-order linear ordinary differential equation. After employing a splitting technique, a cubic spline trial space and a piecewise linear test space are considered in the method. The integrals are then replaced by the Gauss quadrature rule in the formulation itself. Optimal order a priori error estimates are obtained without any restriction on the mesh.http://dx.doi.org/10.1155/2012/962070 |
| spellingShingle | L. Jones Tarcius Doss A. P. Nandini Discrete Mixed Petrov-Galerkin Finite Element Method for a Fourth-Order Two-Point Boundary Value Problem International Journal of Mathematics and Mathematical Sciences |
| title | Discrete Mixed Petrov-Galerkin Finite Element Method for a Fourth-Order Two-Point Boundary Value Problem |
| title_full | Discrete Mixed Petrov-Galerkin Finite Element Method for a Fourth-Order Two-Point Boundary Value Problem |
| title_fullStr | Discrete Mixed Petrov-Galerkin Finite Element Method for a Fourth-Order Two-Point Boundary Value Problem |
| title_full_unstemmed | Discrete Mixed Petrov-Galerkin Finite Element Method for a Fourth-Order Two-Point Boundary Value Problem |
| title_short | Discrete Mixed Petrov-Galerkin Finite Element Method for a Fourth-Order Two-Point Boundary Value Problem |
| title_sort | discrete mixed petrov galerkin finite element method for a fourth order two point boundary value problem |
| url | http://dx.doi.org/10.1155/2012/962070 |
| work_keys_str_mv | AT ljonestarciusdoss discretemixedpetrovgalerkinfiniteelementmethodforafourthordertwopointboundaryvalueproblem AT apnandini discretemixedpetrovgalerkinfiniteelementmethodforafourthordertwopointboundaryvalueproblem |