On the Convergence of Adaptive Stochastic Collocation for Elliptic Partial Differential Equations with Affine Diffusion (Q5070555)

scientific article; zbMATH DE number 7506904

Language	Label	Description	Also known as
English	On the Convergence of Adaptive Stochastic Collocation for Elliptic Partial Differential Equations with Affine Diffusion	scientific article; zbMATH DE number 7506904

Statements

instance of

scholarly article

0 references

title

On the Convergence of Adaptive Stochastic Collocation for Elliptic Partial Differential Equations with Affine Diffusion (English)

0 references

0 references

0 references

0 references

0 references

SIAM Journal on Numerical Analysis

0 references

publication date

13 April 2022

0 references

full work available at URL

https://arxiv.org/abs/2008.07186

0 references

zbMATH Keywords

random PDEs

0 references

parametric PDEs

0 references

sparse grids

0 references

stochastic collocation

0 references

high-dimensional approximation

0 references

high-dimensional interpolation

0 references

adaptive algorithms

0 references

describes a project that uses

ALEA

0 references

MaRDI profile type

MaRDI publication profile

0 references

cites work

A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data

0 references

Sparse polynomial approximation of parametric elliptic PDEs. Part II: lognormal coefficients

0 references

Sparse polynomial approximation of parametric elliptic PDEs. Part I: affine coefficients

0 references

ON THE OPTIMAL POLYNOMIAL APPROXIMATION OF STOCHASTIC PDES BY GALERKIN AND COLLOCATION METHODS

0 references

Energy Norm A Posteriori Error Estimation for Parametric Operator Equations

0 references

Convergence of Adaptive Stochastic Galerkin FEM

0 references

Goal-oriented error estimation and adaptivity for elliptic PDEs with parametric or uncertain inputs

0 references

Efficient Adaptive Stochastic Galerkin Methods for Parametric Operator Equations

0 references

A Sparse Composite Collocation Finite Element Method for Elliptic SPDEs.

0 references

Sparse high order FEM for elliptic sPDEs

0 references

On the Lebesgue Function for Polynomial Interpolation

0 references

Sparse quadrature for high-dimensional integration with Gaussian measure

0 references

On the Lebesgue constant of Leja sequences for the complex unit disk and of their real projection

0 references

New Bounds on the Lebesgue Constants of Leja Sequences on the Unit Disc and on $$\mathfrak {R}$$-Leja Sequences

0 references

High-dimensional adaptive sparse polynomial interpolation and applications to parametric PDEs

0 references

Convergence rates of best $N$-term Galerkin approximations for a class of elliptic SPDEs

0 references

ANALYTIC REGULARITY AND POLYNOMIAL APPROXIMATION OF PARAMETRIC AND STOCHASTIC ELLIPTIC PDE'S

0 references

Multivariate Approximation in Downward Closed Polynomial Spaces

0 references

Efficient Adaptive Multilevel Stochastic Galerkin Approximation Using Implicit A Posteriori Error Estimation

0 references

A Convergent Adaptive Algorithm for Poisson’s Equation

0 references

Adaptive stochastic Galerkin FEM

0 references

Adaptive stochastic Galerkin FEM for lognormal coefficients in hierarchical tensor representations

0 references

Local Equilibration Error Estimators for Guaranteed Error Control in Adaptive Stochastic Higher-Order Galerkin Finite Element Methods

0 references

Adaptive stochastic Galerkin FEM with hierarchical tensor representations

0 references

A convergent adaptive stochastic Galerkin finite element method with quasi-optimal spatial meshes

0 references

Convergence of Sparse Collocation for Functions of Countably Many Gaussian Random Variables (with Application to Elliptic PDEs)

0 references

On expansions and nodes for sparse grid collocation of lognormal elliptic PDEs

0 references

Sensitivity-driven adaptive sparse stochastic approximations in plasma microinstability analysis

0 references

Convergence of adaptive stochastic collocation with finite elements

0 references

Dimension-adaptive tensor-product quadrature

0 references

Optimized general sparse grid approximation spaces for operator equations

0 references

Q3140818

0 references

A Posteriori Error Estimation for the Stochastic Collocation Finite Element Method

0 references

Q5708033

0 references

N-TERM WIENER CHAOS APPROXIMATION RATES FOR ELLIPTIC PDEs WITH LOGNORMAL GAUSSIAN RANDOM INPUTS

0 references

Q5715568

0 references

A fully adaptive multilevel stochastic collocation strategy for solving elliptic PDEs with random data

0 references

An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations

0 references

Uncertainty Quantification in CFD Simulations: A Stochastic Spectral Approach

0 references

On a certain class of Lebesgue constants

0 references

Comparison of Clenshaw–Curtis and Leja Quasi-Optimal Sparse Grids for the Approximation of Random PDEs

0 references

An Adaptive Sparse Grid Algorithm for Elliptic PDEs with Lognormal Diffusion Coefficient

0 references

An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data

0 references

A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data

0 references

Smolyak cubature of given polynomial degree with few nodes for increasing dimension

0 references

Adjoint Error Estimation for Stochastic Collocation Methods

0 references

Sparse, adaptive Smolyak quadratures for Bayesian inverse problems

0 references

High-Order Collocation Methods for Differential Equations with Random Inputs

0 references

Convergence rates of high dimensional Smolyak quadrature

0 references

Identifiers

DOI

10.1137/20M1364722

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:5070555