D. Gallistl and N. T. Tran: Minimal residual discretization of a class of fully nonlinear elliptic PDE, 2024.
[bibtex][arXiv]
Journal
D. Gallistl and R. Maier: Localized implicit time stepping for the wave equation, SIAM J. Numer. Anal., volume 62, no.4, pp.1589–1608, 2024.
[bibtex][doi][arXiv][pdf]
P. Freese, D. Gallistl, D. Peterseim and T. Sprekeler: Computational multiscale methods for nondivergence-form elliptic partial differential equations, Comput. Methods Appl. Math., volume 24, no.3, pp.649–672, 2024.
[bibtex][doi][arXiv][full_text]
D. Gallistl and N. T. Tran: Stability and guaranteed error control of approximations to the Monge–Ampère equation, Numer. Math., volume 156, no.1, pp.107–131, 2024.
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D. Gallistl and S. Tian: Continuous finite elements satisfying a strong discrete Miranda–Talenti identity, IMA J. Numer. Anal., 2024. (online)
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D. Gallistl, M. Hauck, Y. Liang and D. Peterseim: Mixed finite elements for the Gross–Pitaevskii eigenvalue problem: a priori error analysis and guaranteed lower energy bound, IMA J. Numer. Anal., 2024. (online)
[bibtex][doi][arXiv]
D. Gallistl and S. Tian: A posteriori error estimates for nonconforming discretizations of singularly perturbed biharmonic operators, SMAI J. Comput. Math., volume 10, pp.355–372, 2024.
[bibtex][doi][arXiv]
D. Brown and D. Gallistl: Multiscale sub-grid correction method for time-harmonic high-frequency elastodynamics with wave number explicit bounds, Comput. Methods Appl. Math., volume 23, no.1, pp.65–82, 2023.
[bibtex][doi][arXiv]
D. Gallistl: Mixed methods and lower eigenvalue bounds, Math. Comp., volume 92, no.342, pp.1491–1509, 2023.
[bibtex][doi][preprint]
D. Gallistl and N. T. Tran: Convergence of a regularized finite element discretization of the two-dimensional Monge–Ampère equation, Math. Comp., volume 92, no.342, pp.1467–1490, 2023.
[bibtex][doi][arXiv]
D. Gallistl and V. Olkhovskiy: Computational lower bounds of the Maxwell eigenvalues, SIAM J. Numer. Anal., volume 61, no.2, pp.539–561, 2023.
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K. Liu, D. Gallistl, M. Schlottbom and J. J. W. van der Vegt: Analysis of a mixed discontinuous Galerkin method for the time-harmonic Maxwell equations with minimal smoothness requirements, IMA J. Numer. Anal., volume 43, no.4, pp.2320–2351, 2023.
[bibtex][doi][arXiv]
T. Chaumont-Frelet, D. Gallistl, S. Nicaise and J. Tomezyk: Wavenumber explicit convergence analysis for finite element discretizations of time-harmonic wave propagation problems with perfectly matched layers, Comm. Math. Sci., volume 20, no.1, pp.1–52, 2022.
[bibtex][doi][HAL]
D. Gallistl and M. Schedensack: Taylor–Hood discretization of the Reissner–Mindlin plate, SIAM J. Numer. Anal., volume 59, no.3, pp.1195–1217, 2021.
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J. Fischer, D. Gallistl and D. Peterseim: A priori error analysis of a numerical stochastic homogenization method, SIAM J. Numer. Anal., volume 59, no.2, pp.660–674, 2021.
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D. Gallistl, T. Sprekeler and E. Süli: Mixed finite element approximation of periodic Hamilton–Jacobi–Bellman problems with application to numerical homogenization, Multiscale Model. Simul., volume 19, no.2, pp.1041–1065, 2021.
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D. Gallistl: A posteriori error analysis of the inf-sup constant for the divergence, SIAM J. Numer. Anal., volume 59, no.1, pp.249–264, 2021.
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D. Gallistl and M. Schedensack: A robust discretization of the Reissner–Mindlin plate with arbitrary polynomial degree, J. Comput. Math., volume 38, pp.1–13, 2020.
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D. Gallistl and E. Süli: Mixed finite element approximation of the Hamilton–Jacobi–Bellman equation with Cordes coefficients, SIAM J. Numer. Anal., volume 57, no.2, pp.592–614, 2019.
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C. Carstensen, D. Gallistl and J. Gedicke: Residual-based a posteriori error analysis for symmetric mixed Arnold-Winther FEM, Numer. Math., volume 142, no.2, pp.205–234, 2019.
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D. Gallistl: Rayleigh-Ritz approximation of the inf-sup constant for the divergence, Math. Comp., volume 88, no.315, pp.73–89, 2019.
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D. Gallistl: Numerical approximation of planar oblique derivative problems in nondivergence form, Math. Comp., volume 88, no.317, pp.1091–1119, 2019.
[bibtex][doi][preprint]
D. Gallistl and D. Peterseim: Numerical stochastic homogenization by quasilocal effective diffusion tensors, Commun. Math. Sci., volume 17, no.3, pp.637–651, 2019.
[bibtex][doi][arXiv]
C. Carstensen, D. Gallistl and Y. Huang: Saturation and reliable hierarchical a posteriori Morley finite element error control, J. Comput. Math., volume 36, no.6, pp.833–844, 2018.
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D. Gallistl, P. Henning and B. Verfürth: Numerical homogenization of H(curl)-problems, SIAM J. Numer. Anal., volume 56, no.3, pp.1570–1596, 2018.
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D. Gallistl: Variational formulation and numerical analysis of linear elliptic equations in nondivergence form with Cordes coefficients, SIAM J. Numer. Anal., volume 55, no.2, pp.737–757, 2017.
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D. Gallistl, P. Huber and D. Peterseim: On the stability of the Rayleigh-Ritz method for eigenvalues, Numer. Math., volume 137, no.2, pp.339–351, 2017.
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D. Gallistl and D. Peterseim: Computation of quasilocal effective diffusion tensors and connections to the mathematical theory of homogenization, Multiscale Model. Simul., volume 15, no.4, pp.1530–1552, 2017.
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D. Gallistl: Stable splitting of polyharmonic operators by generalized Stokes systems, Math. Comp., volume 86, no.308, pp.2555–2577, 2017.
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D. Boffi, D. Gallistl, F. Gardini and L. Gastaldi: Optimal convergence of adaptive FEM for eigenvalue clusters in mixed form, Math. Comp., volume 86, no.307, pp.2213–2237, 2017.
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C. Carstensen, D. Gallistl and J. Gedicke: Justification of the saturation assumption, Numer. Math., volume 134, no.1, pp.1–25, 2016.
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C. Carstensen, D. Gallistl and M. Schedensack: $L^2$ best-approximation of the elastic stress in the Arnold-Winther FEM, IMA J. Numer. Anal., volume 36, no.3, pp.1096–1119, 2016.
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C. Carstensen, D. Gallistl and N. Nataraj: Comparison results of nonstandard $P_2$ finite element methods for the biharmonic problem, ESAIM Math. Model. Numer. Anal., volume 49, pp.977–990, 2015.
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D. Gallistl and D. Peterseim: Stable multiscale Petrov-Galerkin finite element method for high frequency acoustic scattering, Comput. Methods Appl. Mech. Eng., volume 295, pp.1–17, 2015.
[bibtex][doi][arXiv]
D. Gallistl: An optimal adaptive FEM for eigenvalue clusters, Numer. Math., volume 130, no.3, pp.467–496, 2015.
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D. Gallistl: Morley finite element method for the eigenvalues of the biharmonic operator, IMA J. Numer. Anal., volume 35, no.4, pp.1779–1811, 2015.
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C. Carstensen, D. Gallistl and M. Schedensack: Adaptive nonconforming Crouzeix-Raviart FEM for eigenvalue problems, Math. Comp., volume 84, no.293, pp.1061–1087, 2015.
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C. Carstensen, D. Gallistl and J. Hu: A discrete Helmholtz decomposition with Morley finite element functions and the optimality of adaptive finite element schemes, Comput. Math. Appl., volume 68, no.12, pp.2167–2181, 2014.
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C. Carstensen and D. Gallistl: Guaranteed lower eigenvalue bounds for the biharmonic equation, Numer. Math., volume 126, no.1, pp.33–51, 2014.
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C. Carstensen, D. Gallistl, F. Hellwig and L. Weggler: Low-order dPG-FEM for an elliptic PDE, Comput. Math. Appl., volume 68, no.11, pp.1503–1512, 2014.
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D. Gallistl: Adaptive nonconforming finite element approximation of eigenvalue clusters, Comput. Methods Appl. Math., volume 14, no.4, pp.509–535, 2014.
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D. Gallistl, M. Schedensack and R. P. Stevenson: A remark on newest vertex bisection in any space dimension, Comput. Methods Appl. Math., volume 14, no.3, pp.317–320, 2014.
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C. Carstensen, D. Gallistl and J. Hu: A posteriori error estimates for nonconforming finite element methods for fourth-order problems on rectangles, Numer. Math., volume 124, no.2, pp.309–335, 2013.
[bibtex][doi]
C. Carstensen, D. Gallistl and M. Schedensack: Quasi-optimal adaptive pseudostress approximation of the Stokes equations, SIAM J. Numer. Anal., volume 51, no.3, pp.1715–1734, 2013.
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C. Carstensen, D. Gallistl and M. Schedensack: Discrete reliability for Crouzeix–Raviart FEMs, SIAM J. Numer. Anal., volume 51, no.5, pp.2935–2955, 2013.
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Conference and Workshop Papers
D. Gallistl: Adaptive discretization of HJB equations with Cordes coefficients, In Oberwolfach Reports, volume 18, no.2, pp.1657–1658, 2021.
[bibtex][doi][preprint]
D. Gallistl: A posteriori error analysis of the inf-sup constant for the divergence, In Oberwolfach Reports, volume 18, no.1, pp.117–118, 2021.
[bibtex][doi][preprint]
D. Gallistl: Numerical stochastic homogenization by quasilocal effective diffusion tensors, In Oberwolfach Reports, volume 16, no.3, pp.2163–2165, 2019.
[bibtex][doi][full_text]
D. Gallistl: Rayleigh–Ritz approximation of the inf-sup constant for the divergence, In Oberwolfach Reports, volume 15, no.4, pp.2876–2878, 2018.
[bibtex][doi][preprint]
D. Gallistl: Computation of the inf-sup constant for the divergence, In PAMM Proc. Appl. Math. Mech., volume 18, pp.1–2 (not consecutively paged), 2018.
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P. Bringmann, C. Carstensen, D. Gallistl, F. Hellwig, D. Peterseim, S. Puttkammer, H. Rabus and J. Storn: Towards adaptive discontinuous Petrov-Galerkin methods, In PAMM Proc. Appl. Math. Mech., volume 16, pp.741–744, 2016.
[bibtex][doi]
D. Gallistl, D. Peterseim and C. Carstensen: Multiscale Petrov-Galerkin FEM for acoustic scattering, In PAMM Proc. Appl. Math. Mech., volume 16, pp.745–746, 2016.
[bibtex][doi]
D. Gallistl: On the discrete reliability for nonconforming finite element methods, In Oberwolfach Reports, volume 13, no.3, pp.2550–2551, 2016.
[bibtex][doi]
D. Gallistl: An adaptive FEM for linear elliptic equations in nondivergence form with Cordes coefficients, In Oberwolfach Reports, volume 13, no.3, pp.2448–2449, 2016.
[bibtex][doi]
D. Gallistl: Multiscale Petrov-Galerkin finite element method for high frequency acoustic scattering, In Oberwolfach Reports, volume 12, no.3, pp.2580–2581, 2015.
[bibtex][doi]
D. Gallistl: An optimal adaptive FEM for eigenvalue clusters, In Oberwolfach Reports, volume 10, no.4, pp.3267–3270, 2013.
[bibtex][doi]
D. Gallistl: Quasi optimal adaptive pseudostress approximation of the Stokes equations, In Oberwolfach Reports, volume 9, no.1, pp.497–499, 2012.
[bibtex][doi]
Book chapters
D. Brown, D. Gallistl and D. Peterseim: Multiscale Petrov-Galerkin Method for High-Frequency Heterogeneous Helmholtz Equations, Chapter in Meshfree Methods for Partial Differential Equations VII (M. Griebel, M. A. Schweitzer, eds.), Springer, volume 115, pp.85–115, 2017.
[bibtex][doi]
C. Carstensen, D. Gallistl and B. Krämer: Numerical algorithms for the simulation of finite plasticity with microstructures, Chapter in Analysis and computation of microstructure in finite plasticity (S. Conti, K. Hackl, eds.), Springer, volume 78, pp.1–30, 2015.
[bibtex][doi]
Theses
Dietmar Gallistl: Mixed finite element approximation of elliptic equations involving high-order derivatives, Habilitation thesis, Karlsruher Institut für Technologie, Fakultät für Mathematik, 2018.
[bibtex]
Dietmar Gallistl: Adaptive finite element computation of eigenvalues, Doctoral dissertation, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, 2014.
[bibtex][url][doi]
Other publications
D. Gallistl: The adaptive finite element method, Snapshots of modern mathematics from Oberwolfach, volume 13, 2016.
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