A semi-discrete tailored finite point method for a class of anisotropic diffusion problems
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Publication:2629418
DOI10.1016/j.camwa.2013.03.017zbMath1416.65449OpenAlexW2027343499MaRDI QIDQ2629418
Houde Han, Zhongyi Huang, Wenjun Ying
Publication date: 6 July 2016
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2013.03.017
Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
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Cites Work
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- Characteristic tailored finite point method for convection-dominated convection-diffusion-reaction problems
- A tailored finite point method for a singular perturbation problem on an unbounded domain
- Tailored finite point method for a singular perturbation problem with variable coefficients in two dimensions
- A tailored finite point method for convection-diffusion-reaction problems
- Tailored finite point method for steady-state reaction-diffusion equations
- Solving a partially singularly perturbed initial value problem on Shishkin meshes
- Mimetic finite difference methods for diffusion equations
- Tailored finite point method for the interface problem
- A kernel-free boundary integral method for elliptic boundary value problems
- Differentiability Properties of Solutions of the Equation $ - \varepsilon ^2 \Delta u + ru = f(x,y)$ in a Square
- An Asymptotic Preserving Scheme for Strongly Anisotropic Elliptic Problems
- Tailored finite point method based on exponential bases for convection-diffusion-reaction equation
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