Numerical Solution of Convection–diffusion Equations Using Upwinding Techniques Satisfying the Discrete Maximum Principle
نویسندگان
چکیده
We discuss the application of the finite element method to the numerical solution of scalar two–dimensional steady convection–diffusion equations with the emphasis on upwinding techniques satisfying the discrete maximum principle. Numerical experiments in convection–dominated case indicate that the improved Mizukami–Hughes method is the best choice for solving the mentioned class of problems using conforming piecewise linear triangular finite elements.
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