Dietmar Gallistl

Orcid: 0000-0001-8954-4175

According to our database1, Dietmar Gallistl authored at least 37 papers between 2013 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

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Bibliography

2024
Stability and guaranteed error control of approximations to the Monge-Ampère equation.
Numerische Mathematik, February, 2024

Mixed finite elements for the Gross-Pitaevskii eigenvalue problem: a priori error analysis and guaranteed lower energy bound.
CoRR, 2024

2023
Computational Lower Bounds of the Maxwell Eigenvalues.
SIAM J. Numer. Anal., April, 2023

Convergence of a regularized finite element discretization of the two-dimensional Monge-Ampère equation.
Math. Comput., February, 2023

Mixed methods and lower eigenvalue bounds.
Math. Comput., February, 2023

A posteriori error estimates for nonconforming discretizations of singularly perturbed biharmonic operators.
CoRR, 2023

Localized implicit time stepping for the wave equation.
CoRR, 2023

Multiscale Sub-grid Correction Method for Time-Harmonic High-Frequency Elastodynamics with Wave Number Explicit Bounds.
Comput. Methods Appl. Math., 2023

2022
Computational multiscale methods for nondivergence-form elliptic partial differential equations.
CoRR, 2022

Continuous finite elements satisfying a strong discrete Miranda-Talenti identity.
CoRR, 2022

2021
Taylor-Hood Discretization of the Reissner-Mindlin Plate.
SIAM J. Numer. Anal., 2021

A Posteriori Error Analysis of the inf-sup Constant for the Divergence.
SIAM J. Numer. Anal., 2021

A Priori Error Analysis of a Numerical Stochastic Homogenization Method.
SIAM J. Numer. Anal., 2021

Mixed Finite Element Approximation of Periodic Hamilton-Jacobi-Bellman Problems With Application to Numerical Homogenization.
Multiscale Model. Simul., 2021

Sino-German Computational and Applied Mathematics.
Comput. Methods Appl. Math., 2021

2020
Analysis of a mixed discontinuous Galerkin method for the time-harmonic Maxwell equations with minimal smoothness requirements.
CoRR, 2020

2019
Mixed Finite Element Approximation of the Hamilton-Jacobi-Bellman Equation with Cordes Coefficients.
SIAM J. Numer. Anal., 2019

Residual-based a posteriori error analysis for symmetric mixed Arnold-Winther FEM.
Numerische Mathematik, 2019

Numerical approximation of planar oblique derivative problems in nondivergence form.
Math. Comput., 2019

Rayleigh-Ritz approximation of the inf-sup constant for the divergence.
Math. Comput., 2019

2018
Numerical Homogenization of H(curl)-Problems.
SIAM J. Numer. Anal., 2018

2017
Variational Formulation and Numerical Analysis of Linear Elliptic Equations in Nondivergence form with Cordes Coefficients.
SIAM J. Numer. Anal., 2017

On the stability of the Rayleigh-Ritz method for eigenvalues.
Numerische Mathematik, 2017

Stable splitting of polyharmonic operators by generalized Stokes systems.
Math. Comput., 2017

Optimal convergence of adaptive FEM for eigenvalue clusters in mixed form.
Math. Comput., 2017

Computation of Quasi-Local Effective Diffusion Tensors and Connections to the Mathematical Theory of Homogenization.
Multiscale Model. Simul., 2017

2016
Justification of the saturation assumption.
Numerische Mathematik, 2016

2015
An optimal adaptive FEM for eigenvalue clusters.
Numerische Mathematik, 2015

Adaptive nonconforming Crouzeix-Raviart FEM for eigenvalue problems.
Math. Comput., 2015

2014
Guaranteed lower eigenvalue bounds for the biharmonic equation.
Numerische Mathematik, 2014

A Remark on Newest Vertex Bisection in Any Space Dimension.
Comput. Methods Appl. Math., 2014

Adaptive Nonconforming Finite Element Approximation of Eigenvalue Clusters.
Comput. Methods Appl. Math., 2014

Low-order dPG-FEM for an elliptic PDE.
Comput. Math. Appl., 2014

A discrete Helmholtz decomposition with Morley finite element functions and the optimality of adaptive finite element schemes.
Comput. Math. Appl., 2014

2013
Discrete Reliability for Crouzeix-Raviart FEMs.
SIAM J. Numer. Anal., 2013

Quasi-optimal Adaptive Pseudostress Approximation of the Stokes Equations.
SIAM J. Numer. Anal., 2013

A posteriori error estimates for nonconforming finite element methods for fourth-order problems on rectangles.
Numerische Mathematik, 2013


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