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math.NA2018
Improved and error estimates for the Hessian discretisation method
Devika Shylaja
The Hessian discretisation method (HDM) for fourth order linear elliptic equations provides a unified convergence analysis framework based on three properties namely coercivity, co…
math.NA2018
The Hessian discretisation method for fourth order linear elliptic equations
Jérôme Droniou, Bishnu P. Lamichhane, Devika Shylaja
In this paper, we propose a unified framework, the Hessian discretisation method (HDM), which is based on four discrete elements (called altogether a Hessian discretisation) and a…