Galerkin and weighted Galerkin methods for a forward-backward heat equation

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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
Additional information:This work was partially supported by the Netherlands Organization for Scientific Research under grant 611-302-025
Copyright:© 1997 Springer
Faculty:
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/73765
Official URL:http://dx.doi.org/10.1007/s002110050242
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