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math.NA2026
A higher order polytopal method for contact mechanics with Tresca friction
Jerome Droniou, Raman Kumar, Roland Masson +1
In this work, we design and analyze a Discrete de Rham (DDR) scheme for a contact mechanics problem involving fractures along which a model of Tresca friction is considered. Our ap…
math.NA2024
A posteriori error analysis of hybrid higher order methods for the elliptic obstacle problem
Kamana Porwal, Ritesh Singla
In this article, a posteriori error analysis of the elliptic obstacle problem is addressed using hybrid high-order methods. The method involve cell unknowns represented by degree-$…
math.NA2022★ 1 cited
Supremum-norm a posteriori error control of quadratic discontinuous Galerkin methods for the obstacle problem
Rohit Khandelwal, Kamana Porwal, Ritesh Singla
We perform a posteriori error analysis in the supremum norm for the quadratic discontinuous Galerkin method for the elliptic obstacle problem. We define two discrete sets (motivate…