Cover Image

Homogenization of nondivergence-form elliptic equations with discontinuous coefficients and finite element approximation of the homogenized problem

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Sprekeler, Timo
Format:	Preprint
Published:	2023
Subjects:	Numerical Analysis Analysis of PDEs 35B27, 35J15, 65N12, 65N30
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Finite element approximation of stationary Fokker--Planck--Kolmogorov equations with application to periodic numerical homogenization
by: Sprekeler, Timo, et al.
Published: (2024)

Computational multiscale methods for nondivergence-form elliptic partial differential equations
by: Freese, Philip, et al.
Published: (2022)

A Cordes framework for stationary Fokker--Planck--Kolmogorov equations
by: Sprekeler, Timo
Published: (2026)

A post-processed higher-order multiscale method for nondivergence-form elliptic equations
by: Hauck, Moritz, et al.
Published: (2026)

Stable localized orthogonal decomposition in Raviart-Thomas spaces
by: Henning, Patrick, et al.
Published: (2025)

Unique continuation for an elliptic interface problem using unfitted isoparametric finite elements
by: Burman, Erik, et al.
Published: (2023)

A priori error estimates for finite element discretization of semilinear elliptic equations with non-Lipschitz nonlinearities
by: Vexler, Boris
Published: (2024)

Finite element approximation for uniformly elliptic linear PDE of second order in nondivergence form
by: Tran, Ngoc Tien
Published: (2023)

Quasi-optimal nonconforming approximation of elliptic PDEs with contrasted coefficients and minimal regularity
by: Ern, Alexandre, et al.
Published: (2019)

Mixed finite element approximation for non-divergence form elliptic equations with random input data
by: Mousavi, Amireh
Published: (2025)

Embedded Trefftz DG method for the Helmholtz equation
by: Stocker, Paul, et al.
Published: (2026)

Super-localized Orthogonal Decomposition for high-frequency Helmholtz problems
by: Freese, Philip, et al.
Published: (2021)

Quasi-optimality of the Crouzeix-Raviart FEM for p-Laplace-type problems
by: Storn, Johannes
Published: (2025)

Analysis and approximation of elliptic problems with Uhlenbeck structure in convex polytopes
by: Mengesha, Tadele, et al.
Published: (2024)

FEM for 1D-problems involving the logarithmic Laplacian: error estimates and numerical implementation
by: Hernández-Santamaría, Víctor, et al.
Published: (2023)

Anisotropic Error Analysis of Weak Galerkin finite element method for Singularly Perturbed Biharmonic Problems
by: Raina, Aayushman, et al.
Published: (2024)

Robust, fast, and adaptive splitting schemes for nonlinear doubly-degenerate diffusion equations
by: Javed, Ayesha, et al.
Published: (2025)

A finite difference scheme for two-dimensional singularly perturbed convection-diffusion problem with discontinuous source term
by: Shiromani, Ram, et al.
Published: (2024)

Computation of Miura surfaces with gradient Dirichlet boundary conditions
by: Marazzato, Frederic
Published: (2022)

A discrete Saint-Venant principle for finite element discretizations of elliptic problems
by: Buchholz, Tim, et al.
Published: (2026)

Finite element discretization of the steady, generalized Navier-Stokes equations for small shear stress exponents
by: Kaltenbach, Alex, et al.
Published: (2024)

Linearized Localized Orthogonal Decomposition for Quasilinear Nonmonotone Elliptic PDE
by: Khrais, Maher, et al.
Published: (2025)

The pollution effect for FEM approximations of the Ginzburg-Landau equation
by: Chaumont-Frelet, Théophile, et al.
Published: (2025)

Solving the fully nonlinear Monge-Ampère equation using the Legendre-Kolmogorov-Arnold Network method
by: Hu, Bingcheng, et al.
Published: (2025)

Error analysis for a finite element approximation of the steady $p(\cdot)$-Navier-Stokes equations
by: Berselli, Luigi C., et al.
Published: (2023)

Pressure robust finite element discretizations of the nonlinear Stokes equations
by: Diening, Lars, et al.
Published: (2025)

A Simple Collocation-Type Approach to Numerical Stochastic Homogenization
by: Hauck, Moritz, et al.
Published: (2024)

Mortar coupling of $hp$-discontinuous Galerkin and boundary element methods for the Helmholtz equation
by: Erath, Christoph, et al.
Published: (2021)

Convergence of a regularized finite element discretization of the two-dimensional Monge-Ampère equation
by: Gallistl, Dietmar, et al.
Published: (2021)

Minimum residual discretization of a semilinear elliptic problem
by: Vera, Carlos García, et al.
Published: (2026)

Error analysis for a fully-discrete finite element approximation of the unsteady $p(\cdot,\cdot)$-Stokes equations
by: Berselli, Luigi C., et al.
Published: (2025)

DG = FEM + flat elements, Part I: Diffusion
by: Szotkowski, Jiří, et al.
Published: (2026)

Quasi-optimal Discontinuous Galerkin discretisations of the $p$-Dirichlet problem
by: Blechta, J., et al.
Published: (2023)

Optimal convergence rates in $L^2$ for a first order system least squares finite element method -- Part II: inhomogeneous Robin boundary conditions
by: Bernkopf, Maximilian, et al.
Published: (2024)

Adaptive finite element approximations of the first eigenpair associated with $p$-Laplacian
by: Li, Guanglian, et al.
Published: (2024)

$hp$-Version robust interior penalty discontinuous Galerkin methods for the $p$-Laplacian on simplicial and on essentially arbitrarily-shaped element meshes
by: Georgoulis, Emmanuil H., et al.
Published: (2026)

Quantum Enhanced Numerical Homogenization
by: Balazi, Loïc, et al.
Published: (2026)

A monotone $Q^1$ finite element method for anisotropic elliptic equations
by: Li, Hao, et al.
Published: (2023)

Positivity preserving finite element method for the Gross-Pitaevskii ground state: discrete uniqueness and global convergence
by: Hauck, Moritz, et al.
Published: (2024)

A space-time finite element method for parabolic obstacle problems
by: Carvajal, José Joaquín, et al.
Published: (2025)