3 papers
math.NA2026
Hybrid-high order method in space and implicit schemes in time for the biharmonic wave equation
Raman Kumar, Neela Nataraj, Aamir Yousuf
This article presents the numerical analysis for the biharmonic wave equation with clamped boundary conditions employing two variants of the {hybrid high-order} method for the spac…
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.NA2026
A locking-free nodal-based polytopal method for linear elasticity
Jerome Droniou, Raman Kumar
This work presents a Discrete de Rham (DDR) numerical scheme for solving linear elasticity problems on general polyhedral meshes, with a focus on preventing volumetric locking in t…