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Discontinuous optimal operator for the P1 Galerkin method approximation of elliptic PDEs with a weakly regular source term |
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PP: 915-922 |
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doi:10.18576/amis/180420
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Author(s) |
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Rachid Messaoudi,
Abdeluaab Lidouh,
Mohamed A. Hafez,
Shawkat Alkhazaleh,
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Abstract |
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| In this paper, the standard P1-discontinuous Galerkin method approximation for elliptic PDEs with a weakly regular source
term and ∞ -coefficients is considered. We propose introducing a new truncated interpolation operator Ihd,k to replace the operator Ihk L
used in [1, 6]. We prove that it is possible to eliminate a principal constraint imposed on the N × N stiffness matrix Q. The statements and proofs of [1,6] remain valid according to the new operator.
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