Numerical solution of a free boundary problem by continuation
An algorithm is described for the numerical solution of a free boundary problem using continuation. The problem considered is a quasi-steady problem arising in electrochemical machining. The domain of the problem is mapped onto a square and the governing nonlinear equations are discretised using fin...
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| Veröffentlicht in: | Journal of computational and applied mathematics 1986, Vol.14 (3), p.279-288 |
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| container_end_page | 288 |
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| container_issue | 3 |
| container_start_page | 279 |
| container_title | Journal of computational and applied mathematics |
| container_volume | 14 |
| creator | Sloan, D.M. |
| description | An algorithm is described for the numerical solution of a free boundary problem using continuation. The problem considered is a quasi-steady problem arising in electrochemical machining. The domain of the problem is mapped onto a square and the governing nonlinear equations are discretised using finite differences. A Newton-like iteration is employed for the solution of the nonlinear algebraic system and global convergence is achieved by means of continuation. Numerical results are included. |
| doi_str_mv | 10.1016/0377-0427(86)90066-X |
| format | Article |
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The problem considered is a quasi-steady problem arising in electrochemical machining. The domain of the problem is mapped onto a square and the governing nonlinear equations are discretised using finite differences. A Newton-like iteration is employed for the solution of the nonlinear algebraic system and global convergence is achieved by means of continuation. Numerical results are included.</description><subject>65 N20</subject><subject>65N40</subject><subject>Exact sciences and technology</subject><subject>Free boundary</subject><subject>Mathematics</subject><subject>Numerical analysis</subject><subject>Numerical analysis. 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| identifier | ISSN: 0377-0427 |
| ispartof | Journal of computational and applied mathematics, 1986, Vol.14 (3), p.279-288 |
| issn | 0377-0427 1879-1778 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_24140164 |
| source | Elsevier ScienceDirect Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| subjects | 65 N20 65N40 Exact sciences and technology Free boundary Mathematics Numerical analysis Numerical analysis. Scientific computation numerical continuation Partial differential equations, miscellaneous problems Sciences and techniques of general use |
| title | Numerical solution of a free boundary problem by continuation |
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