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- W2024157416 abstract "In this paper, an arbitrary order finite element method is developed on an anisotropically refined mesh for solving singular perturbation problems in two and three space dimensions. Especially, for a weak convection-diffusion problem, we prove that a quasioptimal global uniform convergence rate of in L 2 norm is obtained for the m-th (m ≥ 1) order tensor-product finite element, thus answering some open problems posed by Roos in [17]. Here Nx and Ny are the number of partitions in the x-and y-directions, respectively. Numerical results supporting our theoretical analysis are provided. Generalizations of our techniques to other singular perturbation problems are mentioned." @default.
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- W2024157416 date "1999-01-01" @default.
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- W2024157416 title "An arbitrary order uniformly convergent finite element method for singular perturbation problems" @default.
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- W2024157416 doi "https://doi.org/10.1080/01630569908816921" @default.
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