Two-grid method for characteristisc mixed finite-element solutions of nonlinear convection-diffusion equations |
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| Authors: | QIN Xinqiang Ma Yichen GONG Chunqiong |
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| Abstract: | A two-grid method for solving nonlinear convection-dominated diffusion equations is presented. The method use discretizations based on a characteristic mixed finite-element method and give the linearization for nonlinear systems by two steps. The error analysis shows that the two-grid scheme combined with the characteristic mixed finite-element method can decrease numerical oscillation caused by dominated convections and solve nonlinear advection-dominated diffusion problems efficiently. |
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| Keywords: | convection-diffusion equations characteristic mixed finite element two-grid method convergence |
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