Random field representations for stochastic elliptic boundary value problems and statistical inverse problems (Q4981608)

scientific article; zbMATH DE number 6308089

Language	Label	Description	Also known as
English	Random field representations for stochastic elliptic boundary value problems and statistical inverse problems	scientific article; zbMATH DE number 6308089

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instance of

scholarly article

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title

Random field representations for stochastic elliptic boundary value problems and statistical inverse problems (English)

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European Journal of Applied Mathematics

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publication date

24 June 2014

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full work available at URL

https://arxiv.org/abs/1304.2902

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zbMATH Keywords

random field

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stochastic elliptic boundary

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value problem

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MaRDI profile type

MaRDI publication profile

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cites work

STOCHASTIC GALERKIN DISCRETIZATION OF THE LOG-NORMAL ISOTROPIC DIFFUSION PROBLEM

0 references

On the construction and analysis of stochastic models: characterization and propagation of the errors associated with limited data

0 references

Identification of high-dimension polynomial chaos expansions with random coefficients for non-Gaussian tensor-valued random fields using partial and limited experimental data

0 references

Numerical solution of spectral stochastic finite element systems

0 references

Reduced chaos decomposition with random coefficients of vector-valued random variables and random fields

0 references

Non-Gaussian positive-definite matrix-valued random fields for elliptic stochastic partial differential operators

0 references

Approximating Infinity-Dimensional Stochastic Darcy's Equations without Uniform Ellipticity

0 references

Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure

0 references

Finite elements for elliptic problems with stochastic coefficients

0 references

Approximation Theorems of Mathematical Statistics

0 references

Proper generalized decomposition for nonlinear convex problems in tensor Banach spaces

0 references

Sparse deterministic approximation of Bayesian inverse problems

0 references

A proper generalized decomposition for the solution of elliptic problems in abstract form by using a functional Eckart-Young approach

0 references

Sparse tensor discretizations of high-dimensional parametric and stochastic PDEs

0 references

On the convergence of generalized polynomial chaos expansions

0 references

The Geometry of Algorithms with Orthogonality Constraints

0 references

Proper generalized decompositions and separated representations for the numerical solution of high dimensional stochastic problems

0 references

Uncertainty propagation using Wiener-Haar expansions

0 references

Eigenvalues of integral operators with smooth positive definite kernels

0 references

CONVERGENCE OF A GREEDY ALGORITHM FOR HIGH-DIMENSIONAL CONVEX NONLINEAR PROBLEMS

0 references

The Homogeneous Chaos

0 references

Tensor-Structured Galerkin Approximation of Parametric and Stochastic Elliptic PDEs

0 references

The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals

0 references

Solving elliptic problems with non-Gaussian spatially-dependent random coefficients

0 references

A reduced basis approach for variational problems with stochastic parameters: application to heat conduction with variable Robin coefficient

0 references

Statistical and computational inverse problems.

0 references

Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures

0 references

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

0 references

Spartan Gibbs Random Field Models for Geostatistical Applications

0 references

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

0 references

Tensor Spaces and Numerical Tensor Calculus

0 references

A computational inverse method for identification of non-Gaussian random fields using the Bayesian approach in very high dimension

0 references

Recent developments in spectral stochastic methods for the numerical solution of stochastic partial differential equations

0 references

A least-squares approximation of partial differential equations with high-dimensional random inputs

0 references

Stochastic model reduction for chaos representations

0 references

Generalized spectral decomposition method for solving stochastic finite element equations: invariant subspace problem and dedicated algorithms

0 references

Maximum likelihood estimation of stochastic chaos representations from experimental data

0 references

A generalized spectral decomposition technique to solve a class of linear stochastic partial differential equations

0 references

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

0 references

Solution of stochastic partial differential equations using Galerkin finite element techniques

0 references

Polynomial chaos representation of spatio-temporal random fields from experimental measurements

0 references

Eigenvalue and singular value estimates for integral operators: a unifying approach

0 references

Asymptotic Sampling Distribution for Polynomial Chaos Representation from Data: A Maximum Entropy and Fisher Information Approach

0 references

Solving stochastic systems with low-rank tensor compression

0 references

Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations

0 references

Convergence rates of best \(N\)-term Galerkin approximations for a class of elliptic SPDEs

0 references

Dimensionality reduction and polynomial chaos acceleration of Bayesian inference in inverse problems

0 references

Strong and Weak Error Estimates for Elliptic Partial Differential Equations with Random Coefficients

0 references

Generalized polynomial chaos and random oscillators

0 references

A scalable framework for the solution of stochastic inverse problems using a sparse grid collocation approach

0 references

The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations

0 references

Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation

0 references

Stochastic Model and Generator for Random Fields with Symmetry Properties: Application to the Mesoscopic Modeling of Elastic Random Media

0 references

Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations

0 references

Non-Gaussian positive-definite matrix-valued random fields with constrained eigenvalues: Application to random elasticity tensors with uncertain material symmetries

0 references

Inverse problems: A Bayesian perspective

0 references

Identification of Bayesian posteriors for coefficients of chaos expansions

0 references

A probabilistic model for bounded elasticity tensor random fields with application to polycrystalline microstructures

0 references

Identification of random shapes from images through polynomial chaos expansion of random level set functions

0 references

Riemannian geometry of Grassmann manifolds with a view on algorithmic computation

0 references

Q5689624

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Identifiers

zbMATH Open document ID

1298.60056

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DOI

10.1017/S0956792514000072

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4981608