8 citations · 9 across the 4 of their papers we have counts for
4 papers
Local discontinuous Galerkin FEM for convex minimization
Carsten Carstensen, Ngoc Tien Tran
The heart of the a priori and a posteriori error control in convex minimization problems is the sharp control of the differences of discrete and exact minimal energy. Conforming fi…
A hybrid high-order method for the biharmonic problem
Yizhou Liang, Ngoc Tien Tran
This paper proposes a new hybrid high-order discretization for the biharmonic problem and the corresponding eigenvalue problem. The discrete ansatz space includes degrees of freedo…
Lower eigenvalue bounds with hybrid high-order methods
Ngoc Tien Tran
This paper proposes hybrid high-order eigensolvers for the computation of guaranteed lower eigenvalue bounds. These bounds display higher order convergence rates and are accessible…
Unstabilized Hybrid High-Order method for a class of degenerate convex minimization problems
C. Carstensen, N. T. Tran
The relaxation in the calculus of variation motivates the numerical analysis of a class of degenerate convex minimization problems with non-strictly convex energy densities with so…