3 papers
math.NA2026
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…
math.NA2026
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…
math.NA2025
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…