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A moving grid finite-element method using grid deformation. (English) Zbl 0838.65093
The authors propose a new front tracking method, based on grid deformation in a streamline upwind Petrov-Galerkin finite element method, to generate an adaptive scheme suitable for application to convection-dominated transport equations. Their excellent results are experimented on well-defined problems.

MSC:
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
65M50 Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs
35K15 Initial value problems for second-order parabolic equations
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References:
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