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Items for "singular perturbation"

Optimal uniform convergence analysis for a singularly perturbed quasilinear reaction–diffusion problem

The standard conforming finite element methods on one type of highly nonuniform rectangular meshes are considered for solving the quasilinear singular perturbation problem -ε2(u xx + u yy ) + ƒ(x,y;u) = 0...

Keywords: finite element method, singular perturbation, uniform convergence analysis

04/2004 | Journal of Numerical Mathematics, Walter de Gruyter
Layer-adapted meshes for one-dimensional reaction–convection–diffusion problems

We study convergence properties of an upwinded finite element method for the solution of linear one-dimensional reaction–convection–diffusion problems on arbitrary meshes...

Keywords: Reactionconvectiondiffusion, finite elements, singular perturbation, layer-adapted meshes

09/2004 | Journal of Numerical Mathematics, Walter de Gruyter