Discretization and adaptive approximation of fully nonlinear equations

Project Information

DAFNE

Grant agreement ID: 891734

DOI

10.3030/891734

EC signature date 22 October 2020

Start date 1 July 2021

End date 30 June 2026

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 453 937,00

EU contribution

€ 1 453 937,00

Coordinated by

FRIEDRICH-SCHILLER-UNIVERSITÄT JENA
Germany

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Other (7)

A posteriori error estimates for nonconforming discretizations of singularly perturbed biharmonic operators

Author(s): Gallistl, Dietmar; Tian, Shudan
Published in: arXiv e-prints, 2023
Publisher: arXiv
DOI: 10.48550/arxiv.2310.15665

"A Strengthened Alexandrov Maximum Principle or Uniform H\""older Continuity for Solutions of the Monge--Amp\`ere Equation with Bounded Right-Hand Side"

Author(s): Gehring, Lukas
Published in: arXiv e-prints, 2022
Publisher: arXiv

Discrete weak duality of hybrid high-order methods for convex minimization problems

Author(s): Tran, Ngoc Tien
Published in: arXiv e-prints, 2023
Publisher: arXiv
DOI: 10.48550/arxiv.2308.03223

Finite element approximation for uniformly elliptic linear PDE of second order in nondivergence form

Author(s): Tran, Ngoc Tien
Published in: arXiv e-prints, 2022
Publisher: arXiv
DOI: 10.48550/arxiv.2302.04202

Continuous finite elements satisfying a strong discrete Miranda--Talenti identity

Author(s): Gallistl, Dietmar; Tian, Shudan
Published in: arXiv e-prints, 2022
Publisher: arXiv
DOI: 10.48550/arxiv.2209.12500

Localized implicit time stepping for the wave equation

Author(s): Gallistl, Dietmar; Maier, Roland
Published in: arXiv e-prints, 2023
Publisher: arXiv
DOI: 10.48550/arxiv.2306.17056

Adaptive Mesh Refinement for arbitrary initial Triangulations

Author(s): Diening, Lars; Gehring, Lukas; Storn, Johannes
Published in: arXiv e-prints, 2023
Publisher: arXiv
DOI: 10.48550/arxiv.2306.02674

Peer reviewed articles (7)

Computational Multiscale Methods for Nondivergence-Form Elliptic Partial Differential Equations

Author(s): Philip Freese; Dietmar Gallistl; Daniel Peterseim; Timo Sprekeler
Published in: Comput. Methods Appl. Math., 2023, ISSN 1609-4840
Publisher: Walter de Gruyter and Co.
DOI: 10.1515/cmam-2023-0040

Stability and guaranteed error control of approximations to the Monge--Amp\`ere equation

Author(s): Gallistl, Dietmar; Tran, Ngoc Tien
Published in: Numer. Math., 2023, ISSN 0029-599X
Publisher: Springer Verlag
DOI: 10.1007/s00211-023-01385-5

Multiscale Sub-grid Correction Method for Time-Harmonic High-Frequency Elastodynamics with Wave Number Explicit Bounds

Author(s): Donald L. Brown; Dietmar Gallistl
Published in: Comput. Methods Appl. Math., Issue 2, 2023, ISSN 1609-4840
Publisher: Walter de Gruyter and Co.
DOI: 10.1515/cmam-2022-0041

Convergence of a regularized finite element discretization of the two-dimensional Monge-Ampère equation

Author(s): Dietmar Gallistl and Ngoc Tien Tran
Published in: Mathematics of Computation, 2023, ISSN 1088-6842
Publisher: AMS
DOI: 10.1090/mcom/3794

Mixed methods and lower eigenvalue bounds

Author(s): Dietmar Gallistl
Published in: Math. Comp., Issue 92, 2023, Page(s) 1491-1509, ISSN 0025-5718
Publisher: American Mathematical Society
DOI: 10.1090/mcom/3820

Stabilization-free HHO a posteriori error control

Author(s): Fleurianne Bertrand; Carsten Carstensen; Benedikt Gräßle; Ngoc Tien Tran
Published in: Numer. Math., Issue 154, 2023, Page(s) 369-408, ISSN 0029-599X
Publisher: Springer Verlag
DOI: 10.1007/s00211-023-01366-8

Computational Lower Bounds of the Maxwell Eigenvalues

Author(s): Dietmar Gallistl; Vladislav Olkhovskiy
Published in: SIAM J. Numer. Anal, Issue 61, 2023, Page(s) 539-561, ISSN 0036-1429
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/21m1461447

Thesis and dissertations (1)

Te Constant in the Theorem of Binev-Dahmen-DeVore-Stevenson and a Generalisation of it

Author(s): Lukas Gehring
Published in: 2020
Publisher: arXiv e-prints