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Zbl 0876.65071
Lu, Hao
Galerkin and weighted Galerkin methods for a forward-backward heat equation.
(English)
[J] Numer. Math. 75, No.3, 339-356 (1997). ISSN 0029-599X; ISSN 0945-3245/e

The author considers a diffusion equation for which the coefficient of $U_t$ may change sign. He takes a weighted Galerkin method using continuous finite elements and presents error estimates. Some numerical results are given.
[J.D.P.Donnelly (Oxford)]
MSC 2000:
*65M60 Finite numerical methods (IVP of PDE)
35K55 Nonlinear parabolic equations
65M15 Error bounds (IVP of PDE)

Keywords: forward-backward heat equation; diffusion equation; Galerkin method; finite elements; error estimates; numerical results

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Scientific prize winners of the ICM 2010
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