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Variational multiscale finite element methods for a nonlinear convection-diffusion-reaction equation

Variational multiscale finite element methods for a nonlinear convection-diffusion-reaction equation

This paper focuses on the development of finite element methods for solving a two-dimensional boundary value problem for a singularly perturbed time-dependent convection-diffusion-reaction equation. Solution to the problem can vary rapidly in thin layers. As a result, spurious oscillations in the solution occur if the standard Galerkin method is used. …