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Published in 2020 at "Acta Mathematica Scientia"
DOI: 10.1007/s10473-020-0521-y
Abstract: This article is devoted to establishing a least square based weak Galerkin method for second order elliptic equations in non-divergence form using a discrete weak Hessian operator. Naturally, the resulting linear system is symmetric and…
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Keywords:
method second;
second order;
least square;
weak galerkin ... See more keywords
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1
Published in 2018 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-018-0712-z
Abstract: We present an efficient numerical algorithm to solve random interface grating problems based on a combination of shape derivatives, the weak Galerkin method, and a low-rank approximation technique. By using the asymptotic perturbation approach via…
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Keywords:
method;
weak galerkin;
rank approximation;
low rank ... See more keywords
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0
Published in 2018 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2018.01.021
Abstract: A new relaxed weak Galerkin (WG) stabilizer has been introduced for second order elliptic interface problems with low regularity solutions. The stabilizer is generalized from the weak Galerkin method of Wang and Ye by using…
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Keywords:
interface problems;
method;
regularity;
relaxed weak ... See more keywords
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Published in 2021 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2021.05.021
Abstract: Abstract In this paper, a weak Galerkin finite element method for solving the time fractional reaction-convection diffusion problem is proposed. We use the well known L 1 discretization in time and a weak Galerkin finite…
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Keywords:
time;
weak galerkin;
method;
finite element ... See more keywords