Some new properties of asynchronous algorithms of theta scheme combined with finite elements methods for an evolutionary implicit 2‐sided obstacle problem |
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| Authors: | Salah Boulaaras |
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| Affiliation: | 1. Department of Mathematics, College of Science and Arts, Ar‐Ras, Qassim University, Buraydah, Kingdom Of Saudi Arabia;2. Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran 1‐Ahmed Benbella, Es Sénia, Algeria |
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| Abstract: | In this paper, we give some new properties of the presented asynchronous algorithms of theta scheme combined with finite elements methods (App. Math. Comp., 217 (2011), 6443‐6450) for an evolutionary implicit 2‐sided obstacle problem to prove the existence and uniqueness of the discrete solution. Furthermore, an error estimate on the uniform norm is given. |
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| Keywords: | approximately contracting finite elements fixed point inequalities theta scheme 2‐sided obstacle |
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