Discretization and adaptive approximation of fully nonlinear equations

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

Autores: Gallistl, Dietmar; Tian, Shudan
Publicado en: arXiv e-prints, 2023
Editor: 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"

Autores: Gehring, Lukas
Publicado en: arXiv e-prints, 2022
Editor: arXiv

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

Autores: Tran, Ngoc Tien
Publicado en: arXiv e-prints, 2023
Editor: arXiv
DOI: 10.48550/arxiv.2308.03223

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

Autores: Tran, Ngoc Tien
Publicado en: arXiv e-prints, 2022
Editor: arXiv
DOI: 10.48550/arxiv.2302.04202

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

Autores: Gallistl, Dietmar; Tian, Shudan
Publicado en: arXiv e-prints, 2022
Editor: arXiv
DOI: 10.48550/arxiv.2209.12500

Localized implicit time stepping for the wave equation

Autores: Gallistl, Dietmar; Maier, Roland
Publicado en: arXiv e-prints, 2023
Editor: arXiv
DOI: 10.48550/arxiv.2306.17056

Adaptive Mesh Refinement for arbitrary initial Triangulations

Autores: Diening, Lars; Gehring, Lukas; Storn, Johannes
Publicado en: arXiv e-prints, 2023
Editor: arXiv
DOI: 10.48550/arxiv.2306.02674

Computational Multiscale Methods for Nondivergence-Form Elliptic Partial Differential Equations

Autores: Philip Freese; Dietmar Gallistl; Daniel Peterseim; Timo Sprekeler
Publicado en: Comput. Methods Appl. Math., 2023, ISSN 1609-4840
Editor: Walter de Gruyter and Co.
DOI: 10.1515/cmam-2023-0040

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

Autores: Gallistl, Dietmar; Tran, Ngoc Tien
Publicado en: Numer. Math., 2023, ISSN 0029-599X
Editor: 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

Autores: Donald L. Brown; Dietmar Gallistl
Publicado en: Comput. Methods Appl. Math., Edición 2, 2023, ISSN 1609-4840
Editor: 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

Autores: Dietmar Gallistl and Ngoc Tien Tran
Publicado en: Mathematics of Computation, 2023, ISSN 1088-6842
Editor: AMS
DOI: 10.1090/mcom/3794

Mixed methods and lower eigenvalue bounds

Autores: Dietmar Gallistl
Publicado en: Math. Comp., Edición 92, 2023, Página(s) 1491-1509, ISSN 0025-5718
Editor: American Mathematical Society
DOI: 10.1090/mcom/3820

Stabilization-free HHO a posteriori error control

Autores: Fleurianne Bertrand; Carsten Carstensen; Benedikt Gräßle; Ngoc Tien Tran
Publicado en: Numer. Math., Edición 154, 2023, Página(s) 369-408, ISSN 0029-599X
Editor: Springer Verlag
DOI: 10.1007/s00211-023-01366-8

Computational Lower Bounds of the Maxwell Eigenvalues

Autores: Dietmar Gallistl; Vladislav Olkhovskiy
Publicado en: SIAM J. Numer. Anal, Edición 61, 2023, Página(s) 539-561, ISSN 0036-1429
Editor: Society for Industrial and Applied Mathematics
DOI: 10.1137/21m1461447

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

Autores: Lukas Gehring
Publicado en: 2020
Editor: arXiv e-prints

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