65 citations · 111 across the 22 of their papers we have counts for
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math.NA2024
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…
math.NA2024★ 1 cited
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…
math.NA2024★ 6 cited
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…