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Galerkin and weighted Galerkin methods for a forward-backward heat equation
Lu, Hao (1997) Galerkin and weighted Galerkin methods for a forward-backward heat equation. Numerische Mathematik, 75 (3). pp. 339-356. ISSN 0029-599X
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| Abstract: | Galerkin and weighted Galerkin methods are proposed for the numerical solution of parabolic partial differential equations where the diffusion coefficient takes different signs. The approach is based on a simultaneous discretization of space and time variables by using continuous finite element methods. Under some simple assumptions, error estimates and some numerical results for both Galerkin and weighted Galerkin methods are presented. Comparisons with the previous methods show that new methods not only can be used to solve a wider class of equations but also require less regularity for the solution and need fewer computations. |
| Item Type: | Article |
| Copyright: | © 1997 Springer |
| Faculty: | Electrical Engineering, Mathematics and Computer Science (EEMCS) |
| Research Group: | |
| Link to this item: | http://purl.utwente.nl/publications/73765 |
| Official URL: | http://dx.doi.org/10.1007/s002110050242 |
| Export this item as: | BibTeX EndNote HTML Citation Reference Manager |
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