| dc.creator | Andrade, MG | |
| dc.creator | DoVal, JBR | |
| dc.date | 1997 | |
| dc.date | APR | |
| dc.date | 2014-12-16T11:32:34Z | |
| dc.date | 2015-11-26T17:51:02Z | |
| dc.date | 2014-12-16T11:32:34Z | |
| dc.date | 2015-11-26T17:51:02Z | |
| dc.date.accessioned | 2018-03-29T00:34:23Z | |
| dc.date.available | 2018-03-29T00:34:23Z | |
| dc.identifier | Mathematics Of Computation. Amer Mathematical Soc, v. 66, n. 218, n. 477, n. 493, 1997. | |
| dc.identifier | 0025-5718 | |
| dc.identifier | WOS:A1997WV77100002 | |
| dc.identifier | 10.1090/S0025-5718-97-00825-9 | |
| dc.identifier | http://www.repositorio.unicamp.br/jspui/handle/REPOSIP/76603 | |
| dc.identifier | http://www.repositorio.unicamp.br/handle/REPOSIP/76603 | |
| dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/76603 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1289867 | |
| dc.description | A numerical treatment for the Dirichlet boundary value problem on regular triangular grids for homogeneous Helmholtz equations is presented, which also applies to the convection-diffusion problems. The main characteristic of the method is that an accuracy estimate is provided in analytical form with a better evaluation than that obtained with the usual finite difference method. Besides, this classical method can be seen as a truncated series approximation to the proposed method. The method is developed from the analytical solutions for the Dirichlet problem on a ball together with an error evaluation of an integral on the corresponding circle, yielding O(h(4)) accuracy. Some numerical examples are discussed and the results are compared with other methods, with a consistent advantage to the solution obtained here. | |
| dc.description | 66 | |
| dc.description | 218 | |
| dc.description | 477 | |
| dc.description | 493 | |
| dc.language | en | |
| dc.publisher | Amer Mathematical Soc | |
| dc.publisher | Providence | |
| dc.relation | Mathematics Of Computation | |
| dc.relation | Math. Comput. | |
| dc.rights | aberto | |
| dc.source | Web of Science | |
| dc.subject | numerical solutions for partial differential equations | |
| dc.subject | elliptic differential equations | |
| dc.subject | Helmholtz equations | |
| dc.subject | non-standard difference approximation | |
| dc.subject | convection-diffusion equations | |
| dc.title | A numerical scheme based on mean value solutions for the Helmholtz equation on triangular grids | |
| dc.type | Artículos de revistas | |
