Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle Convergence of finite volume schemes for semilinear convection diffusion equations. (English) Zbl 0930.65118 Numer. Math. 82, No. 1, 91-116 (1999). Finite volume schemes for semilinear elliptic problems in two space dimensions are presented. Estimates for the approximate solution and convergence of the schemes are proven. Reviewer: Isaac Yevzerov (Kyïv) Cited in 1 ReviewCited in 27 Documents MSC: 65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs 65N15 Error bounds for boundary value problems involving PDEs 35J65 Nonlinear boundary value problems for linear elliptic equations 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs Keywords:finite volume scheme; semilinear elliptic problem; error estimates; convergence × Cite Format Result Cite Review PDF Full Text: DOI