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An Introduction to Computational Stochastic PDEs

1, 2014

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Energy Norm A Posteriori Error Estimation for Parametric Operator Equations

SIAM journal on scientific computing, 2014-01, Vol.36 (2), p.A339-A363

2014

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Robust a posteriori error estimators for mixed approximation of nearly incompressible elasticity

International journal for numerical methods in engineering, 2019-07, Vol.119 (1), p.18-37

2019

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Enhanced alternating energy minimization methods for stochastic galerkin matrix equations

BIT, 2022-09, Vol.62 (3), p.965-994

2022

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Robust a posteriori error estimation for parameter-dependent linear elasticity equations

Mathematics of computation, 2021-03, Vol.90 (328), p.613-636

2021

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Efficient Adaptive Stochastic Collocation Strategies for Advection–Diffusion Problems with Uncertain Inputs

Journal of scientific computing, 2023-09, Vol.96 (3), p.64, Article 64

2023

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H( {div}) preconditioning for a mixed finite element formulation of the diffusion problem with random data

Mathematics of computation, 2010-04, Vol.79 (270), p.733-760

2010

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Pilot phase results of a prospective, randomized controlled trial of narrowband ultraviolet B phototherapy in hospitalized COVID‐19 patients

Experimental dermatology, 2022-07, Vol.31 (7), p.1109-1115

2022

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Block-diagonal preconditioning for spectral stochastic finite-element systems

IMA journal of numerical analysis, 2009-04, Vol.29 (2), p.350-375

2009

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CBS Constants & Their Role in Error Estimation for Stochastic Galerkin Finite Element Methods

Journal of scientific computing, 2018-11, Vol.77 (2), p.1030-1054

2018

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A PRIORI ERROR ANALYSIS OF STOCHASTIC GALERKIN MIXED APPROXIMATIONS OF ELLIPTIC PDEs WITH RANDOM DATA

SIAM journal on numerical analysis, 2012-01, Vol.50 (4), p.2039-2063

2012

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Surrogate accelerated Bayesian inversion for the determination of the thermal diffusivity of a material

Metrologia, 2019-02, Vol.56 (1), p.15018

2019

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Preconditioning Steady-State Navier--Stokes Equations with Random Data

SIAM journal on scientific computing, 2012-01, Vol.34 (5), p.A2482-A2506

2012

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Erratum: Preconditioning Stochastic Galerkin Saddle Point Systems

SIAM journal on matrix analysis and applications, 2014-01, Vol.35 (1), p.314-315

2014

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Preconditioning Stochastic Galerkin Saddle Point Systems

SIAM journal on matrix analysis and applications, 2010-01, Vol.31 (5), p.2813-2840

2010

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Parameter-Robust Stochastic Galerkin Mixed Approximation for Linear Poroelasticity with Uncertain Inputs

SIAM journal on scientific computing, 2021-01, Vol.43 (4), p.B855-B883

2021

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On solving stochastic collocation systems with algebraic multigrid

IMA journal of numerical analysis, 2012-07, Vol.32 (3), p.1051-1070

2012

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Improving the forward solver for the complete electrode model in EIT using algebraic multigrid

IEEE transactions on medical imaging, 2005-05, Vol.24 (5), p.577-583

2005

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

SIAM journal on scientific computing, 2019-01, Vol.41 (3), p.A1681-A1705

2019

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IFISS3D: A Computational Laboratory for Investigating Finite Element Approximation in Three Dimensions

ACM transactions on mathematical software, 2023-09, Vol.49 (3), p.1-14, Article 30

2023

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A framework for the development of implicit solvers for incompressible flow problems

Discrete and continuous dynamical systems. Series S, 2012-12, Vol.5 (6), p.1195-1221

2012

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Robust Preconditioning for Stochastic Galerkin Formulations of Parameter-Dependent Nearly Incompressible Elasticity Equations

SIAM journal on scientific computing, 2019-01, Vol.41 (1), p.A402-A421

2019

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Parameter-free H(div) preconditioning for a mixed finite element formulation of diffusion problems

IMA journal of numerical analysis, 2005-10, Vol.25 (4), p.783-796

POWELL, Catherine E

2005

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Efficient Reduced Basis Methods for Saddle Point Problems with Applications in Groundwater Flow

SIAM/ASA journal on uncertainty quantification, 2017-01, Vol.5 (1), p.1248-1278

2017

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Solving Log-Transformed Random Diffusion Problems by Stochastic Galerkin Mixed Finite Element Methods

SIAM/ASA journal on uncertainty quantification, 2015-01, Vol.3 (1), p.509-534

2015

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An Introduction to Computational Stochastic PDEs

Energy Norm A Posteriori Error Estimation for Parametric Operator Equations

Robust a posteriori error estimators for mixed approximation of nearly incompressible elasticity

Enhanced alternating energy minimization methods for stochastic galerkin matrix equations

Robust a posteriori error estimation for parameter-dependent linear elasticity equations

Efficient Adaptive Stochastic Collocation Strategies for Advection–Diffusion Problems with Uncertain Inputs

H( {div}) preconditioning for a mixed finite element formulation of the diffusion problem with random data

Pilot phase results of a prospective, randomized controlled trial of narrowband ultraviolet B phototherapy in hospitalized COVID‐19 patients

Block-diagonal preconditioning for spectral stochastic finite-element systems

CBS Constants & Their Role in Error Estimation for Stochastic Galerkin Finite Element Methods

A PRIORI ERROR ANALYSIS OF STOCHASTIC GALERKIN MIXED APPROXIMATIONS OF ELLIPTIC PDEs WITH RANDOM DATA

Surrogate accelerated Bayesian inversion for the determination of the thermal diffusivity of a material

Preconditioning Steady-State Navier--Stokes Equations with Random Data

Erratum: Preconditioning Stochastic Galerkin Saddle Point Systems

Preconditioning Stochastic Galerkin Saddle Point Systems

Parameter-Robust Stochastic Galerkin Mixed Approximation for Linear Poroelasticity with Uncertain Inputs

On solving stochastic collocation systems with algebraic multigrid

Improving the forward solver for the complete electrode model in EIT using algebraic multigrid

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

IFISS3D: A Computational Laboratory for Investigating Finite Element Approximation in Three Dimensions

A framework for the development of implicit solvers for incompressible flow problems

Robust Preconditioning for Stochastic Galerkin Formulations of Parameter-Dependent Nearly Incompressible Elasticity Equations

Parameter-free H(div) preconditioning for a mixed finite element formulation of diffusion problems

Efficient Reduced Basis Methods for Saddle Point Problems with Applications in Groundwater Flow

Solving Log-Transformed Random Diffusion Problems by Stochastic Galerkin Mixed Finite Element Methods

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