6 citations · 7 across the 3 of their papers we have counts for
10 papers · 1 filter
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…
A posteriori error estimates for a modified Morley FEM
A. K. Dond, D. Gallistl, S. Nayak +1
Residual-based a~posteriori error estimators are derived for the modified Morley FEM, proposed by Wang, Xu, Hu [J. Comput. Math, 24(2), 2006], for the singularly perturbed biharmon…
The Adini finite element on locally refined meshes
Dietmar Gallistl
This work introduces a locally refined version of the Adini finite element for the planar biharmonic equation on rectangular partitions with at most one hanging node per edge. If g…
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…
Mixed finite elements for the Gross-Pitaevskii eigenvalue problem: a priori error analysis and guaranteed lower energy bound
Dietmar Gallistl, Moritz Hauck, Yizhou Liang +1
We establish an a priori error analysis for the lowest-order Raviart-Thomas finite element discretisation of the nonlinear Gross-Pitaevskii eigenvalue problem. Optimal convergence…
Mixed methods and lower eigenvalue bounds
Dietmar Gallistl
It is shown how mixed finite element methods for symmetric positive definite eigenvalue problems related to partial differential operators can provide guaranteed lower eigenvalue b…