Cover Image

Key challenges and bridges among convergence analysis techniques for polytopal methods

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	da Veiga, Lourenço Beirão, Di Pietro, Daniele Antonio, Droniou, Jérôme
Format:	Preprint
Published:	2026
Subjects:	Numerical Analysis 65N12, 65N15, 65N30, 65N08
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Arbitrary-order pressure-robust DDR and VEM methods for the Stokes problem on polyhedral meshes
by: da Veiga, Lourenço Beirão, et al.
Published: (2021)

From Finite Elements to Hybrid High-Order methods
by: Di Pietro, Daniele A., et al.
Published: (2025)

Conforming lifting and adjoint consistency for the Discrete de Rham complex of differential forms
by: Di Pietro, Daniele A., et al.
Published: (2025)

On the Compact Discontinuous Galerkin method for polytopal meshes
by: Corti, Mattia, et al.
Published: (2026)

A higher order polytopal method for contact mechanics with Tresca friction
by: Droniou, Jerome, et al.
Published: (2026)

Quasi-optimal polytopal finite element methods for biharmonic equation
by: Tran, Ngoc Tien
Published: (2026)

Design and analysis of twisted and BGG Stokes-de Rham polytopal complexes
by: Di Pietro, Daniele A., et al.
Published: (2025)

A Reynolds-semi-robust method with hybrid velocity and pressure for the unsteady incompressible Navier--Stokes equations
by: da Veiga, Lourenço Beirão, et al.
Published: (2025)

Novel superconvergence and ultraconvergence structures for the finite volume element method
by: Wang, Xiang, et al.
Published: (2025)

Global convergence of adaptive least-squares finite element methods for nonlinear PDEs
by: Bringmann, Philipp, et al.
Published: (2025)

A low-order hybrid method for the variable-density incompressible Navier-Stokes equations
by: Dauphin, Mathias, et al.
Published: (2026)

New finite volume element schemes based on a two-layer dual strategy
by: Huang, Weizhang, et al.
Published: (2025)

A Reynolds-semi-robust and pressure robust Hybrid High-Order method for the time dependent incompressible Navier--Stokes equations on general meshes
by: Quiroz, Daniel Castanon, et al.
Published: (2024)

The MINI mixed virtual element for the Stokes equation
by: Bertoluzza, Silvia, et al.
Published: (2025)

A posteriori estimates for errors of functionals on finite volume approximations to solutions of elliptic boundary value problems
by: Angermann, Lutz
Published: (2012)

A high-order local discontinuous Galerkin method for the $p$-Laplace equation
by: Wu, Yue, et al.
Published: (2023)

A stabilized nonconforming finite element method for the surface biharmonic problem
by: Wu, Shuonan, et al.
Published: (2024)

A streamline upwind/Petrov-Galerkin method for the magnetic advection-diffusion problem
by: Li, Haochen, et al.
Published: (2025)

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

A $C^0$-continuous nonconforming virtual element method for linear strain gradient elasticity
by: Huang, Jianguo, et al.
Published: (2024)

A Taylor-Hood finite element method for the surface Stokes problem without penalization
by: Demlow, Alan, et al.
Published: (2025)

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

Optimal error estimates for a discontinuous Galerkin method on curved boundaries with polygonal meshes
by: Araújo, Adérito, et al.
Published: (2026)

Analysis of a space-time unfitted finite element method for PDEs on evolving surfaces
by: Reusken, Arnold, et al.
Published: (2024)

A low-cost, parameter-free, and pressure-robust enriched Galerkin method for the Stokes equations
by: Lee, Seulip, et al.
Published: (2022)

An adaptive perfectly matched layer finite element method for acoustic-elastic interaction in periodic structures
by: Li, Sijia, et al.
Published: (2026)

An adaptive superconvergent finite element method based on local residual minimization
by: Muga, Ignacio, et al.
Published: (2022)

An exterior calculus framework for polytopal methods
by: Bonaldi, Francesco, et al.
Published: (2023)

Mixed finite elements for the Gross-Pitaevskii eigenvalue problem: a priori error analysis and guaranteed lower energy bound
by: Gallistl, Dietmar, et al.
Published: (2024)

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

Auto-Stabilized Weak Galerkin Finite Element Methods for Biharmonic Equations on Polytopal Meshes without Convexity Assumptions
by: Wang, Chunmei
Published: (2024)

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes
by: Wang, Chunmei, et al.
Published: (2025)

Old and new Schrödinger eigenvalue localisation
by: Carstensen, Carsten, et al.
Published: (2026)

Auto-Stabilized Weak Galerkin Finite Element Methods for Stokes Equations on Non-Convex Polytopal Meshes
by: Wang, Chunmei, et al.
Published: (2025)

Auto-Stabilized Weak Galerkin Finite Element Methods on Polytopal Meshes without Convexity Constraints
by: Wang, Chunmei
Published: (2024)

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes
by: Wang, Chunmei
Published: (2024)

Simplified Weak Galerkin Methods for Linear Elasticity on Nonconvex Domains
by: Wang, Chunmei, et al.
Published: (2024)

A Simple Weak Galerkin Finite Element Method for the Reissner-Mindlin Plate Model on Non-Convex Polytopal Meshes
by: Wang, Chunmei, et al.
Published: (2025)

A Hybrid High-Order Method for the Gross--Pitaevskii Eigenvalue Problem
by: Hauck, Moritz, et al.
Published: (2025)

Lowest order stabilization free Virtual Element Method for the 2D Poisson equation
by: Berrone, Stefano, et al.
Published: (2021)