Weak Galerkin finite element methods with or without stabilizers |
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Authors: | Wang Xiaoshen Ye Xiu Zhang Shangyou |
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Institution: | 1.Department of Mathematics, University of Arkansas at Little Rock, Little Rock, AR, 72204, USA ;2.Department of Mathematical Sciences, University of Delaware, Newark, DE, 19716, USA ; |
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Abstract: | The purpose of this paper is to investigate the connections between the weak Galerkin (WG) methods with and without stabilizers. The choices of stabilizers directly affect the convergence rates of the corresponding WG methods in general. However, we observed that the convergence rates are independent of the choices of stabilizers for these WG elements with stabilizers being optional. In this paper, we will verify such phenomena theoretically as well as numerically. |
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