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Xie, Shenglan; Tu, Huonian; Zhu, Peng

Supercloseness result of higher order FEM/LDG coupled method for solving singularly perturbed problem on S-type mesh. (English) Zbl 1470.65146

Abstr. Appl. Anal. 2014, Article ID 260840, 11 p. (2014).
Summary: We present a first supercloseness analysis for higher order FEM/LDG coupled method for solving singularly perturbed convection-diffusion problem. Based on piecewise polynomial approximations of degree \(k\) (\(k \geq 1\)), a supercloseness property of \(k + 1 / 2\) in DG norm is established on S-type mesh. Numerical experiments complement the theoretical results.

Cited in 1 Document

MSC:

65L60 Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations
34B16 Singular nonlinear boundary value problems for ordinary differential equations
65L11 Numerical solution of singularly perturbed problems involving ordinary differential equations
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\textit{S. Xie} et al., Abstr. Appl. Anal. 2014, Article ID 260840, 11 p. (2014; Zbl 1470.65146)
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References:

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