HDM provides convergence for fourth-order semilinear elliptic PDEs, with first-time explicit error orders for Adini ncFEM and GR schemes, plus applications to Navier-Stokes and von Karman equations.
Grisvard.Singularities in boundary value problems, volume 22 ofRecherches en Math ´ematiques Appliqu´ees [Research in Applied Mathematics]
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Convergence Analysis of the Hessian Discretisation Method for Fourth Order Semi-linear Elliptic Equations with General Source
HDM provides convergence for fourth-order semilinear elliptic PDEs, with first-time explicit error orders for Adini ncFEM and GR schemes, plus applications to Navier-Stokes and von Karman equations.