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Scientific Computing: For Scientists and Engineers

1st edition., 2015

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Numerical Analysis: An Introduction

1st edition., 2019

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Approximate Deconvolution Models of Turbulence: Analysis, Phenomenology and Numerical Analysis

1, 2012

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Unconditional long-time stability of a velocity–vorticity method for the 2D Navier–Stokes equations

Numerische Mathematik, 2017-01, Vol.135 (1), p.143-167

2017

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Global in time stability and accuracy of IMEX-FEM data assimilation schemes for Navier–Stokes equations

Computer methods in applied mechanics and engineering, 2019-03, Vol.345, p.1077-1093

2019

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Data-driven variational multiscale reduced order models

Computer methods in applied mechanics and engineering, 2021-01, Vol.373, p.113470, Article 113470

2021

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On conservation laws of Navier–Stokes Galerkin discretizations

Journal of computational physics, 2017-05, Vol.337, p.289-308

2017

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Full and reduced order model consistency of the nonlinearity discretization in incompressible flows

Computer methods in applied mechanics and engineering, 2022-11, Vol.401, p.115620, Article 115620

2022

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Pressure-induced locking in mixed methods for time-dependent (Navier–)Stokes equations

Journal of computational physics, 2019-07, Vol.388, p.350-356

2019

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Anderson acceleration for contractive and noncontractive operators

IMA journal of numerical analysis, 2021-10, Vol.41 (4), p.2841-2872

2021

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Continuous data assimilation reduced order models of fluid flow

Computer methods in applied mechanics and engineering, 2019-12, Vol.357, p.112596, Article 112596

2019

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Enabling convergence of the iterated penalty Picard iteration with O(1) penalty parameter for incompressible Navier–Stokes via Anderson acceleration

Computer methods in applied mechanics and engineering, 2021-12, Vol.387, p.114178, Article 114178

2021

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On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows

SIAM review, 2017, Vol.59 (3), p.492-544

2017

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Energy balance and mass conservation in reduced order models of fluid flows

Journal of computational physics, 2017-10, Vol.346, p.262-277

2017

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Simple and efficient continuous data assimilation of evolution equations via algebraic nudging

Numerical methods for partial differential equations, 2021-05, Vol.37 (3), p.2588-2612

2021

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The Effect of Anderson Acceleration on Superlinear and Sublinear Convergence

Journal of scientific computing, 2023-08, Vol.96 (2), p.34, Article 34

2023

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Efficient and effective algebraic splitting‐based solvers for nonlinear saddle point problems

Mathematical methods in the applied sciences, 2024-01, Vol.47 (1), p.451-474

2024

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Anderson acceleration for a regularized Bingham model

Numerical methods for partial differential equations, 2023-09, Vol.39 (5), p.3874-3896

2023

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A mass-, kinetic energy- and helicity-conserving mimetic dual-field discretization for three-dimensional incompressible Navier-Stokes equations, part I: Periodic domains

Journal of computational physics, 2022-02, Vol.451, p.110868, Article 110868

2022

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The analogue of grad–div stabilization in DG methods for incompressible flows: Limiting behavior and extension to tensor-product meshes

Computer methods in applied mechanics and engineering, 2018-11, Vol.341, p.917-938

2018

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The Reduced NS-α Model for Incompressible Flow: A Review of Recent Progress

Fluids (Basel), 2017-09, Vol.2 (3), p.38

2017

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Numerical study of a regularized barotropic vorticity model of geophysical flow

Numerical methods for partial differential equations, 2015-09, Vol.31 (5), p.1492-1514

2015

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A modular regularized variational multiscale proper orthogonal decomposition for incompressible flows

Computer methods in applied mechanics and engineering, 2017-10, Vol.325, p.350-368

2017

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On reducing the splitting error in Yosida methods for the Navier–Stokes equations with grad-div stabilization

Computer methods in applied mechanics and engineering, 2015-09, Vol.294, p.259-277

2015

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Decoupled, Unconditionally Stable, Higher Order Discretizations for MHD Flow Simulation

Journal of scientific computing, 2017-04, Vol.71 (1), p.21-43

2017

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Scientific Computing: For Scientists and Engineers

Numerical Analysis: An Introduction

Approximate Deconvolution Models of Turbulence: Analysis, Phenomenology and Numerical Analysis

Unconditional long-time stability of a velocity–vorticity method for the 2D Navier–Stokes equations

Global in time stability and accuracy of IMEX-FEM data assimilation schemes for Navier–Stokes equations

Data-driven variational multiscale reduced order models

On conservation laws of Navier–Stokes Galerkin discretizations

Full and reduced order model consistency of the nonlinearity discretization in incompressible flows

Pressure-induced locking in mixed methods for time-dependent (Navier–)Stokes equations

Anderson acceleration for contractive and noncontractive operators

Continuous data assimilation reduced order models of fluid flow

Enabling convergence of the iterated penalty Picard iteration with O(1) penalty parameter for incompressible Navier–Stokes via Anderson acceleration

On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows

Energy balance and mass conservation in reduced order models of fluid flows

Simple and efficient continuous data assimilation of evolution equations via algebraic nudging

The Effect of Anderson Acceleration on Superlinear and Sublinear Convergence

Efficient and effective algebraic splitting‐based solvers for nonlinear saddle point problems

Anderson acceleration for a regularized Bingham model

A mass-, kinetic energy- and helicity-conserving mimetic dual-field discretization for three-dimensional incompressible Navier-Stokes equations, part I: Periodic domains

The analogue of grad–div stabilization in DG methods for incompressible flows: Limiting behavior and extension to tensor-product meshes

The Reduced NS-α Model for Incompressible Flow: A Review of Recent Progress

Numerical study of a regularized barotropic vorticity model of geophysical flow

A modular regularized variational multiscale proper orthogonal decomposition for incompressible flows

On reducing the splitting error in Yosida methods for the Navier–Stokes equations with grad-div stabilization

Decoupled, Unconditionally Stable, Higher Order Discretizations for MHD Flow Simulation

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