Cover Image

An abstract framework for heterogeneous coupling: stability, approximation and preconditioning

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Bertoluzza, Silvia, Burman, Erik
Format:	Preprint
Published:	2023
Subjects:	Numerical Analysis 65N55
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Best approximation results and essential boundary conditions for novel types of weak adversarial network discretizations for PDEs
by: Bertoluzza, Silvia, et al.
Published: (2023)

The Reduced Basis Multigrid scheme for the Virtual Element Method
by: Antonietti, Paola F., et al.
Published: (2025)

Factorized sparse approximate inverse preconditioning for singular M-matrices
by: Bick, Katherina, et al.
Published: (2025)

Nodal auxiliary space preconditioning for the surface de Rham complex
by: Li, Yuwen
Published: (2021)

Robust spectral preconditioning for high-Péclet number convection-diffusion
by: Holbach, Lukas, et al.
Published: (2025)

Avoiding stabilization terms in virtual elements for eigenvalue problems: The Reduced Basis Virtual Element Method
by: Bertoluzza, Silvia, et al.
Published: (2026)

A framework of discontinuous Galerkin neural networks for iteratively approximating residuals
by: Yuan, Long, et al.
Published: (2025)

On inf-sup stability and optimal convergence of the quasi-reversibility method for unique continuation subject to Poisson's equation
by: Burman, Erik, et al.
Published: (2024)

Generalized preconditioned conjugate gradients for adaptive FEM with optimal complexity
by: Hilbert, Paula, et al.
Published: (2026)

Achieving wavenumber robustness in domain decomposition for heterogeneous Helmholtz equation: an overview of spectral coarse spaces
by: Dolean, Victorita, et al.
Published: (2025)

Adaptive and frugal BDDC coarse spaces for virtual element discretizations of a Stokes problem with heterogeneous viscosity
by: Bevilacqua, Tommaso, et al.
Published: (2024)

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

Optimal finite element approximation of unique continuation
by: Burman, Erik, et al.
Published: (2023)

Dense cell-by-cell systems of PDEs: approximation, spectral analysis, and preconditioning
by: Benedusi, Pietro, et al.
Published: (2024)

Towards a parallel Schwarz solver framework for virtual elements using GDSW coarse spaces
by: Bevilacqua, Tommaso, et al.
Published: (2025)

The virtual element method on polygonal pixel-based tessellations
by: Bertoluzza, Silvia, et al.
Published: (2022)

A reduced conjugate gradient basis method for fractional diffusion
by: Li, Yuwen, et al.
Published: (2023)

Geometric adaptive smoothed aggregation multigrid for discontinuous Galerkin discretisations
by: Pan, Yulong, et al.
Published: (2025)

A two-grid method with dispersion matching for finite-element Helmholtz problems
by: Stolk, Christiaan C.
Published: (2025)

An efficient multigrid solver for 3D biharmonic equation with a discretization by 25-point difference scheme
by: Pan, Kejia, et al.
Published: (2019)

Spectral ACMS: A robust localized Approximated Component Mode Synthesis Method
by: Madureira, Alexandre L., et al.
Published: (2017)

$k\ell$-refinement: An adaptive mesh refinement scheme for hiearchical hybrid grids
by: Mann, Benjamin, et al.
Published: (2025)

Robust stability and preconditioning of Darcy-Forchheimer equations
by: Das, Rishi, et al.
Published: (2025)

Fast-convergent two-level restricted additive Schwarz methods based on optimal local approximation spaces
by: Strehlow, Arne, et al.
Published: (2024)

On the recursive structure of multigrid cycles
by: Avnat, Or, et al.
Published: (2020)

A Computational Method for the Inverse Robin Problem with Convergence Rate
by: Burman, Erik, et al.
Published: (2025)

Multigrid solvers for multipoint flux approximations of the Darcy problem on rough quadrilateral grids
by: Arrarás, Andrés, et al.
Published: (2024)

Graph-Based Meshfree Multi-scale Coarse Space Approximation for Two-Level Schwarz Methods
by: Liu, Yucheng, et al.
Published: (2026)

Sharp inf-sup estimate for the Stokes equation in tight domains with periodic pillars and some numerical implications
by: Xin, Qi, et al.
Published: (2026)

Multiscale Spectral Generalized Finite Element Methods for Discontinuous Galerkin Schemes
by: Alber, Christian, et al.
Published: (2025)

The effect of approximate coarsest-level solves on the convergence of multigrid V-cycle methods
by: Vacek, Petr, et al.
Published: (2023)

The high-order finite element Duffy de Rham complex and low-order-refined preconditioning
by: Pazner, Will
Published: (2026)

Multigrid preconditioning for discontinuous Galerkin discretizations of an elliptic optimal control problem with a convection-dominated state equation
by: Liu, Sijing, et al.
Published: (2024)

Distributed finite element solution using model order reduction
by: Gustafsson, Tom, et al.
Published: (2024)

Hybrid Nitsche method for distributed computing
by: Gustafsson, Tom, et al.
Published: (2025)

Multigrid methods for the ghost finite element approximation of elliptic problems
by: Dilip, Hridya, et al.
Published: (2025)

On adaptive BDDC for the flow in heterogeneous porous media
by: Sousedík, Bedřich
Published: (2019)

Computational unique continuation with finite dimensional Neumann trace
by: Burman, Erik, et al.
Published: (2024)

Arbitrary order approximations at constant cost for Timoshenko beam network models
by: Hauck, Moritz, et al.
Published: (2024)

MGCNN: a learnable multigrid solver for sparse linear systems from PDEs on structured grids
by: Xie, Yan, et al.
Published: (2023)