Cover Image

Adaptive stochastic Galerkin finite element methods: Optimality and non-affine coefficients

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Bachmayr, Markus, Eisenmann, Henrik, Voulis, Igor
Format:	Preprint
Published:	2025
Subjects:	Numerical Analysis 35J25, 35R60, 41A10, 41A63, 42C10, 65N50, 65N30
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A convergent adaptive finite element stochastic Galerkin method based on multilevel expansions of random fields
by: Bachmayr, Markus, et al.
Published: (2024)

Sparse and low-rank approximations of parametric elliptic PDEs: the best of both worlds
by: Bachmayr, Markus, et al.
Published: (2025)

A discontinuous Galerkin method for elliptic-hyperbolic equations
by: Perinati, Chiara, et al.
Published: (2026)

Polynomial quasi-Trefftz DG for PDEs with smooth coefficients: elliptic problems
by: Imbert-Gérard, Lise-Marie, et al.
Published: (2024)

A Trefftz Continuous Galerkin method for Helmholtz problems
by: Galante, Nicola, et al.
Published: (2025)

A time dependent fractional order diffusion equation with constant diffusivity matrix
by: Catoe, T., et al.
Published: (2026)

Exploiting locality in sparse polynomial approximation of parametric elliptic PDEs and application to parameterized domains
by: van Harten, Wouter, et al.
Published: (2023)

Approximation by quadrilateral finite elements
by: Arnold, Douglas N., et al.
Published: (2000)

Overlap Splines and Meshless Finite Difference Methods
by: Davydov, Oleg
Published: (2023)

Scaling Optimized Spectral Approximations on Unbounded Domains: The Generalized Hermite and Laguerre Methods
by: Hu, Hao, et al.
Published: (2026)

Deep ReLU networks and high-order finite element methods II: Chebyshev emulation
by: Opschoor, Joost A. A., et al.
Published: (2023)

Optimal convergence of local discontinuous Galerkin methods for convection-diffusion equations
by: Liu, Wenjie, et al.
Published: (2026)

Legendre Expansions of Products of Functions with Applications to Nonlinear Partial Differential Equations
by: Djellouli, Rabia, et al.
Published: (2021)

Discontinuous piecewise polynomial approximation on non-Lipschitz domains
by: Hewett, D P
Published: (2025)

Simultaneous spatial-parametric collocation approximation for parametric PDEs with log-normal random inputs
by: Dũng, Dinh
Published: (2025)

Adaptive methods for PDE's: wavelets or mesh refinement?
by: Cohen, Albert
Published: (2002)

Unconditional full linear convergence and quasi-optimal complexity of smoothed adaptive finite element methods
by: Bringmann, Philipp, et al.
Published: (2026)

Hyperinterpolation beyond exact cubature: a spectral multiplier approach
by: Wu, Hao-Ning
Published: (2026)

Multigoal-oriented adaptive finite element method with convergence rates
by: Becker, Roland, et al.
Published: (2026)

Error Guarantees for Least Squares Approximation with Noisy Samples in Domain Adaptation
by: Bartel, Felix
Published: (2022)

Refinement-based Christoffel sampling for least squares approximation in non-orthogonal bases
by: Herremans, Astrid, et al.
Published: (2025)

Certified Model Order Reduction for parametric Hermitian eigenproblems
by: Manucci, Mattia, et al.
Published: (2025)

Besov regularity of multivariate non-periodic functions in terms of half-period cosine coefficients and consequences for recovery and numerical integration
by: Schäfer, Martin, et al.
Published: (2025)

Superconvergence points of Hermite spectral interpolation
by: Wang, Haiyong, et al.
Published: (2025)

Quasi-optimal complexity of iterative Galerkin methods driven by an elliptic reconstruction error estimator
by: Brunner, Maximilian, et al.
Published: (2026)

An iterative method for the solution of Laplace-like equations in high and very high space dimensions
by: Yserentant, Harry
Published: (2024)

Integrating Moving Least Squares with non-linear WENO method: A novel Partition of Unity approach in 1D
by: Garcés, Inmaculada, et al.
Published: (2025)

Recovery of differential operators from a noisy Fourier transform
by: Osipenko, Konstantin Yu.
Published: (2024)

$p$-Robust Trace Liftings for Discrete Harmonic Extensions and Boundary-Preserving $hp$ Interpolation on Tetrahedral Meshes
by: Li, Situan, et al.
Published: (2026)

Adaptive finite element methods with optimally preconditioned GMRES guarantee optimal complexity
by: Führer, Thomas, et al.
Published: (2026)

Sampling recovery in Bochner spaces and applications to parametric PDEs
by: Bartel, Felix, et al.
Published: (2024)

Trace-Preserving hp Interpolation and Polynomial Liftings on Conforming Hexahedral Meshes
by: Li, Situan, et al.
Published: (2026)

Multivariate Data-dependent Partition of Unity based on Moving Least Squares method
by: Garcés, Inmaculada, et al.
Published: (2026)

Higher Order Lipschitz Greedy Recombination Interpolation Method (HOLGRIM)
by: Lyons, Terry, et al.
Published: (2024)

Jump-preserving polynomial interpolation in non-manifold polyhedra
by: Averseng, Martin
Published: (2022)

An Optimal Weighted Least-Squares Method for Operator Learning
by: Turnage, John, et al.
Published: (2025)

Reconstruction Plans and Efficient Rank-1 Lattice Construction for Chebyshev Expansions Over Lower Sets
by: Moussa, Abdelqoddous, et al.
Published: (2024)

Optimal approximation of infinite-dimensional holomorphic functions II: recovery from i.i.d. pointwise samples
by: Adcock, Ben, et al.
Published: (2023)

Optimal recovery of linear operators from information of random functions
by: Osipenko, K. Yu.
Published: (2024)

A generalisation of de la Vallée-Poussin procedure to multivariate approximations
by: Sukhorukova, Nadezda, et al.
Published: (2017)