David J. Silvester

Numerische Mathematik, August, 2024

Robin-type domain decomposition with stabilized mixed approximation for incompressible flow.

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[DOI]

Yani Feng

,

Qifeng Liao

,

Comput. Math. Appl., October, 2023

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

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[DOI]

Georgios Papanikos

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Catherine E. Powell

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ACM Trans. Math. Softw., September, 2023

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

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J. Sci. Comput., September, 2023

Error Estimation and Adaptivity for Stochastic Collocation Finite Elements Part II: Multilevel Approximation.

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[DOI]

Alex Bespalov

,

SIAM J. Sci. Comput., April, 2023

Error Estimation and Adaptivity for Stochastic Collocation Finite Elements Part I: Single-Level Approximation.

[BibT_eX]

[DOI]

Alex Bespalov

,

,

Feng Xu

SIAM J. Sci. Comput., October, 2022

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

[BibT_eX]

[DOI]

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Math. Comput., 2021

T-IFISS: a toolbox for adaptive FEM computation.

[BibT_eX]

[DOI]

Alex Bespalov

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Leonardo Rocchi

,

Comput. Math. Appl., 2021

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

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[DOI]

Jens Lang

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Robert Scheichl

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J. Comput. Phys., 2020

A locally mass conserving quadratic velocity, linear pressure element.

[BibT_eX]

[DOI]

Ronald W. Thatcher

,

CoRR, 2020

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

[BibT_eX]

[DOI]

Arbaz Khan

,

Catherine E. Powell

,

SIAM J. Sci. Comput., 2019

Balanced Iterative Solvers for Linear Nonsymmetric Systems and Nonlinear Systems with PDE Origins: Efficient Black-Box Stopping Criteria.

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[DOI]

Pranjal

,

J. Sci. Comput., 2019

Collocation Methods for Exploring Perturbations in Linear Stability Analysis.

[BibT_eX]

[DOI]

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SIAM J. Sci. Comput., 2018

Refined saddle-point preconditioners for discretized Stokes problems.

[BibT_eX]

[DOI]

John W. Pearson

,

Jennifer Pestana

,

Numerische Mathematik, 2018

An Efficient Reduced Basis Solver for Stochastic Galerkin Matrix Equations.

[BibT_eX]

[DOI]

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Valeria Simoncini

SIAM J. Sci. Comput., 2017

Efficient Adaptive Stochastic Galerkin Methods for Parametric Operator Equations.

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[DOI]

Alexei Bespalov

,

SIAM J. Sci. Comput., 2016

An Optimal Solver for Linear Systems Arising from Stochastic FEM Approximation of Diffusion Equations with Random Coefficients.

[BibT_eX]

[DOI]

,

Pranjal

SIAM/ASA J. Uncertain. Quantification, 2016

Energy Norm A Posteriori Error Estimation for Parametric Operator Equations.

[BibT_eX]

[DOI]

Alexei Bespalov

,

,

SIAM J. Sci. Comput., 2014

IFISS: A Computational Laboratory for Investigating Incompressible Flow Problems.

[BibT_eX]

[DOI]

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Alison Ramage

,

SIAM Rev., 2014

Fast solvers for discretized Navier-Stokes problems using vector extrapolation.

[BibT_eX]

[DOI]

Sébastien Duminil

,

Hassane Sadok

,

Numer. Algorithms, 2014

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

[BibT_eX]

[DOI]

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SIAM J. Sci. Comput., 2012

A Priori Error Analysis of Stochastic Galerkin Mixed Approximations of Elliptic PDEs with Random Data.

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[DOI]

Alexei Bespalov

,

,

SIAM J. Numer. Anal., 2012

An Optimal Iterative Solver for Symmetric Indefinite Systems Stemming from Mixed Approximation.

[BibT_eX]

[DOI]

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Valeria Simoncini

ACM Trans. Math. Softw., 2011

Special Section: 2010 Copper Mountain Conference.

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[DOI]

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SIAM J. Sci. Comput., 2011

Fast iterative solvers for buoyancy driven flow problems.

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[DOI]

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Milan D. Mihajlovic

,

J. Comput. Phys., 2011

Adaptive Time-Stepping for Incompressible Flow Part II: Navier--Stokes Equations.

[BibT_eX]

[DOI]

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,

,

SIAM J. Sci. Comput., 2010

Efficient Solvers for a Linear Stochastic Galerkin Mixed Formulation of Diffusion Problems with Random Data.

[BibT_eX]

[DOI]

Oliver G. Ernst

,

,

,

Elisabeth Ullmann

SIAM J. Sci. Comput., 2009

Adaptive Time-Stepping for Incompressible Flow Part I: Scalar Advection-Diffusion.

[BibT_eX]

[DOI]

Philip M. Gresho

,

David F. Griffiths

,

SIAM J. Sci. Comput., 2008

Algorithm 866: IFISS, a Matlab toolbox for modelling incompressible flow.

[BibT_eX]

[DOI]

,

Alison Ramage

,

ACM Trans. Math. Softw., 2007

Least Squares Preconditioners for Stabilized Discretizations of the Navier-Stokes Equations.

[BibT_eX]

[DOI]

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SIAM J. Sci. Comput., 2007

Efficient parallel solvers for the biharmonic equation.

[BibT_eX]

[DOI]

Milan D. Mihajlovic

,

Parallel Comput., 2004

Optimal Preconditioning for Raviart-Thomas Mixed Formulation of Second-Order Elliptic Problems.

[BibT_eX]

[DOI]

,

SIAM J. Matrix Anal. Appl., 2003

Performance and analysis of saddle point preconditioners for the discrete steady-state Navier-Stokes equations.

[BibT_eX]

[DOI]

,

,

Andrew J. Wathen

Numerische Mathematik, 2002

Fourier Analysis of Stabilized Q1 -Q1 Mixed Finite Element Approximation.

[BibT_eX]

[DOI]

Sean Norburn

,

SIAM J. Numer. Anal., 2001

A Posteriori Error Estimation for Stabilized Mixed Approximations of the Stokes Equations.

[BibT_eX]

[DOI]

David A. Kay

,

SIAM J. Sci. Comput., 1999

Fast Nonsymmetric Iterations and Preconditioning for Navier-Stokes Equations.

[BibT_eX]

[DOI]

,

SIAM J. Sci. Comput., 1996

Optimising finite element matrix calculations using the general technique of element vectorisation.

[BibT_eX]

[DOI]