Stochastic elliptic operators defined by non-Gaussian random fields with uncertain spectrum

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

Guilleminot, Johann
Soize, Christian

January 2011

International audienceThis paper is devoted to the construction of a class of prior stochastic model...

Expansion of random boundary excitations for elliptic PDEs

Sabelfeld, Karl

January 2008

In this paper we deal with elliptic boundary value problems with random boundary conditions. Soluti...

Elliptic gaussian random processes

Benassi, A.
Jaffard, Stéphane
Roux, Daniel

January 1997

We study the Gaussian random fields indexed by Rd whose covariance is defined in all generality as t...

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

Soize, Christian

January 2006

International audienceThis paper deals with the construction of a class of non-Gaussian positive-def...

Non Gaussian matrix-valued random fields for nonparametric probabilistic modeling of elliptic stochastic partial differential operators

Soize, Christian

July 2004

International audienceThis paper deals with the construction of a non Gaussian positive-definite mat...

Random fields representations for stochastic elliptic boundary value problems and statistical inverse problems

Nouy, Anthony
Soize, Christian

January 2014

International audienceThis paper presents new results allowing an unknown non-Gaussian positive-defi...

Stochastic homogenization of Gaussian fields on random media

Chiarini Medeiros, Leandro
Ruszel, Wioletta

January 2022

In this article, we study stochastic homogenization of non-homogeneous Gaussian free fields Ξg,aD an...

Random fields representations for stochastic elliptic boundary value problems and high-dimensional statistical inverse problems

Nouy, Anthony
Soize, Christian

January 2013

Workshop on Partial Differential Equations with Random Coefficients, Berlin, Germany, November 13-1

Itô SDE-based generator for a class of non-Gaussian vector-valued random fields in uncertainty quantification

Guilleminot, J.
Soize, Christian

December 2014

International audienceThis paper is concerned with the derivation of a generic sampling technique fo...

Random fields representations for stochastic elliptic boundary value problem and statistical inverse problems

Nouy, Anthony
Soize, Christian

January 2013

Workshop Interplay of Theory and Numerics for Deterministic and Stochastic Homogenization, Oberwolfa...

Elliptic Self-Similar Stochastic Processes

Benassi, Albert
Roux, Daniel

January 2003

Let M be a random measure and L be an elliptic pseudo-differential operator on Rd. We study the solu...

Generation of non-Gaussian tensor-valued random fields using an ISDE-based algorithm

J. Guilleminot
C. Soize

August 2015

ABSTRACT: This work is concerned with the construction of a random generator for non-Gaussian tensor...

Random fields representations for stochastic elliptic boundary value problem and statistical inverse problems, Workshop Interplay of Theory and Numerics for Deterministic and Stochastic Homogenization

Nouy, A.
Soize, Christian

January 2013

Workshop Interplay of Theory and Numerics for Deterministic and Stochastic Homogenization, Oberwolfa...

Green\'s function estimates for elliptic and parabolic operators: Applications to quantitative stochastic homogenization and invariance principles for degenerate random environments and interacting particle systems: Green\''s function estimates for elliptic and parabolic operators:Applications to quantitative stochastic homogenization andinvariance principles for degenerate random environments andinteracting particle systems

Giunti, Arianna

April 2017

This thesis is divided into two parts: In the first one (Chapters 1 and 2), we deal with problems ar...

Representations of non-Gaussian positive-definite matrix-valued random fields for elliptic BVP and statistical inverse identification in high dimension using partial and limited experimental data

Soize, Christian
Desceliers, Christophe
Guilleminot, Johann
Nouy, Anthony
Perrin, Guillaume

January 2014

Workshop on Numerical Methods for High-Dimensional Problems, Ecole des Ponts ParisTech, Marne-la-Val...

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

Guilleminot, Johann
Soize, Christian

January 2011

International audienceThis paper is devoted to the construction of a class of prior stochastic model...

Expansion of random boundary excitations for elliptic PDEs

Sabelfeld, Karl

January 2008

In this paper we deal with elliptic boundary value problems with random boundary conditions. Soluti...

Elliptic gaussian random processes

Benassi, A.
Jaffard, Stéphane
Roux, Daniel

January 1997

We study the Gaussian random fields indexed by Rd whose covariance is defined in all generality as t...

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

Soize, Christian

January 2006

International audienceThis paper deals with the construction of a class of non-Gaussian positive-def...

Non Gaussian matrix-valued random fields for nonparametric probabilistic modeling of elliptic stochastic partial differential operators

Soize, Christian

July 2004

International audienceThis paper deals with the construction of a non Gaussian positive-definite mat...

Random fields representations for stochastic elliptic boundary value problems and statistical inverse problems

Nouy, Anthony
Soize, Christian

January 2014

International audienceThis paper presents new results allowing an unknown non-Gaussian positive-defi...

Stochastic homogenization of Gaussian fields on random media

Chiarini Medeiros, Leandro
Ruszel, Wioletta

January 2022

In this article, we study stochastic homogenization of non-homogeneous Gaussian free fields Ξg,aD an...

Random fields representations for stochastic elliptic boundary value problems and high-dimensional statistical inverse problems

Nouy, Anthony
Soize, Christian

January 2013

Workshop on Partial Differential Equations with Random Coefficients, Berlin, Germany, November 13-1

Itô SDE-based generator for a class of non-Gaussian vector-valued random fields in uncertainty quantification

Guilleminot, J.
Soize, Christian

December 2014

International audienceThis paper is concerned with the derivation of a generic sampling technique fo...

Random fields representations for stochastic elliptic boundary value problem and statistical inverse problems

Nouy, Anthony
Soize, Christian

January 2013

Workshop Interplay of Theory and Numerics for Deterministic and Stochastic Homogenization, Oberwolfa...

Elliptic Self-Similar Stochastic Processes

Benassi, Albert
Roux, Daniel

January 2003

Let M be a random measure and L be an elliptic pseudo-differential operator on Rd. We study the solu...

Generation of non-Gaussian tensor-valued random fields using an ISDE-based algorithm

J. Guilleminot
C. Soize

August 2015

ABSTRACT: This work is concerned with the construction of a random generator for non-Gaussian tensor...

Random fields representations for stochastic elliptic boundary value problem and statistical inverse problems, Workshop Interplay of Theory and Numerics for Deterministic and Stochastic Homogenization

Nouy, A.
Soize, Christian

January 2013

Workshop Interplay of Theory and Numerics for Deterministic and Stochastic Homogenization, Oberwolfa...

Green\'s function estimates for elliptic and parabolic operators: Applications to quantitative stochastic homogenization and invariance principles for degenerate random environments and interacting particle systems: Green\''s function estimates for elliptic and parabolic operators:Applications to quantitative stochastic homogenization andinvariance principles for degenerate random environments andinteracting particle systems

Giunti, Arianna

April 2017

This thesis is divided into two parts: In the first one (Chapters 1 and 2), we deal with problems ar...

Representations of non-Gaussian positive-definite matrix-valued random fields for elliptic BVP and statistical inverse identification in high dimension using partial and limited experimental data

Soize, Christian
Desceliers, Christophe
Guilleminot, Johann
Nouy, Anthony
Perrin, Guillaume

January 2014

Workshop on Numerical Methods for High-Dimensional Problems, Ecole des Ponts ParisTech, Marne-la-Val...

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

Guilleminot, Johann
Soize, Christian

January 2011

International audienceThis paper is devoted to the construction of a class of prior stochastic model...

Expansion of random boundary excitations for elliptic PDEs

Sabelfeld, Karl

January 2008

In this paper we deal with elliptic boundary value problems with random boundary conditions. Soluti...

Elliptic gaussian random processes

Benassi, A.
Jaffard, Stéphane
Roux, Daniel

January 1997

We study the Gaussian random fields indexed by Rd whose covariance is defined in all generality as t...

Stochastic elliptic operators defined by non-Gaussian random fields with uncertain spectrum

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Stochastic elliptic operators defined by non-Gaussian random fields with uncertain spectrum

Abstract

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