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- W2063640504 abstract "The standard conforming finite element methods on one type of highly nonuniform rectangular meshes are considered for solving the quasilinear singular perturbation problem -ε2(uxx + uyy ) + ƒ(x,y;u) = 0. By using a special interpolation operator and the integral identity technique, optimal uniform convergence rates of O(N–(k+1)) in the L2-norm are obtained for all k-th (k ≥ 1) order conforming tensor-product finite elements, where N is the number of intervals in both x- and y-directions. Hence Apel and Lube's suboptimal results are improved to optimal order and generalized to the quasilinear case." @default.
- W2063640504 created "2016-06-24" @default.
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- W2063640504 date "2004-01-01" @default.
- W2063640504 modified "2023-10-16" @default.
- W2063640504 title "Optimal uniform convergence analysis for a singularly perturbed quasilinear reaction–diffusion problem" @default.
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- W2063640504 doi "https://doi.org/10.1515/1569395041172944" @default.
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