Some energy preserving finite element schemes based on the discrete variational derivative method. (English) Zbl 1094.65100
Energy preserving finite element schemes for linear heat and wave equations are presented. Applications to the nonlinear Allen-Cahn equation and the Fujita problem are considered.
Reviewer: Isaac Yevzerov (Kyïv)
MSC:
| 65M60 | Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs |
| 35K05 | Heat equation |
| 35L05 | Wave equation |
| 35Q53 | KdV equations (Korteweg-de Vries equations) |
Keywords:
Finite element method; discrete variational derivative method; energy preserving; linear heat and wave equations; nonlinear Allen-Cahn equation; Fujita problemReferences:
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