From the 1 of 4 linked papers with an AI index.
4 papers
Quasi-optimal polytopal finite element methods for biharmonic equation
Ngoc Tien Tran
The paper derives quasi‑optimal and lower‑order error bounds for several finite element schemes—including weak Galerkin, discontinuous Galerkin, and hybrid‑high order—applied to th…
An error analysis of discrete Kirchhoff elements
Dietmar Gallistl, Ngoc Tien Tran
The Discrete Kirchhoff Triangle (DKT) method for the biharmonic equation is analyzed in the discrete energy norm. The error is bounded by the best approximation of the Hessian by p…
Minimal residual discretization of a class of fully nonlinear elliptic PDE
Dietmar Gallistl, Ngoc Tien Tran
This work introduces finite element methods for a class of elliptic fully nonlinear partial differential equations. They are based on a minimal residual principle that builds upon…
Locking-free hybrid high-order method for linear elasticity
Carsten Carstensen, Ngoc Tien Tran
The hybrid-high order (HHO) scheme has many successful applications including linear elasticity as the first step towards computational solid mechanics. The striking advantage is t…