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Non-conforming least-squares spectral element method for Stokes equations on non-smooth domains

Journal of computational and applied mathematics, 2020-07, Vol.372, p.112696, Article 112696

2020

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Review and perspectives in quantum computing for partial differential equations in structural mechanics

Frontiers in mechanical engineering, 2022-09, Vol.8

2022

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Mixed mimetic spectral element method for Stokes flow: A pointwise divergence-free solution

Journal of computational physics, 2013-05, Vol.240, p.284-309

2013

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A spectral mimetic least-squares method for the Stokes equations with no-slip boundary condition

Computers & mathematics with applications (1987), 2016-06, Vol.71 (11), p.2285-2300

2016

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Spectral element method for parabolic interface problems

Computer methods in applied mechanics and engineering, 2018-08, Vol.337, p.66-94

2018

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A MEEVC discretization for two-dimensional incompressible Navier-Stokes equations with general boundary conditions

Journal of computational physics, 2024-08, Vol.510, p.113080, Article 113080

2024

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A spectral mimetic least-squares method

Computers & mathematics with applications (1987), 2014-12, Vol.68 (11), p.1480-1502

2014

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Construction and application of an algebraic dual basis and the Fine-Scale Greens’ Function for computing projections and reconstructing unresolved scales

Computer methods in applied mechanics and engineering, 2024-03, Vol.422, p.116833, Article 116833

2024

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Minimum Residual and Least Squares Finite Element Methods II

Computers & mathematics with applications (1987), 2017-10, Vol.74 (8), p.1922-1922

2017

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Efficient simulation of CO2 migration dynamics in deep saline aquifers using a multi-task deep learning technique with consistency

Advances in water resources, 2023-08, Vol.178, p.104494, Article 104494

2023

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Direct Minimization of the Discontinuous Least-Squares Spectral Element Method for Viscoelastic Fluids

Journal of scientific computing, 2006-06, Vol.27 (1-3), p.245-256

Gerritsma, Marc I.

2006

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A hybrid mimetic spectral element method for three-dimensional linear elasticity problems

Journal of computational physics, 2021-05, Vol.433, p.110179, Article 110179

2021

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A spectral mimetic least-squares method for the Stokes equations with no-slip boundary condition

Computers & mathematics with applications (1987), 2016-06, Vol.71 (11)

2016

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An Introduction to a Compatible Spectral Discretization Method

Mechanics of advanced materials and structures, 2012-01, Vol.19 (1-3), p.48-67

Gerritsma, Marc

2012

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Discrete conservation properties for shallow water flows using mixed mimetic spectral elements

Journal of computational physics, 2017-12, Vol.357 (C)

2017

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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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Mass- and Momentum Conservation of the Least-Squares Spectral Element Method for the Stokes Problem

Journal of scientific computing, 2006-06, Vol.27 (1-3), p.389-401

2006

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Design of a Direct numerical Simulation of flow and heat transfer in a T-junction

Nuclear engineering and design, 2023-08, Vol.410, p.112403, Article 112403

2023

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C 1 continuous h -adaptive least-squares spectral element method for phase-field models

Computers & mathematics with applications (1987), 2018-03, Vol.75 (5), p.1582-1594

2018

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Analysis of Linear Piecewise Constant Delay Systems Using a Hybrid Numerical Scheme

Advances in Numerical Analysis, 2016-01, Vol.2016, p.1-9-011

2016

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C1 continuous h-adaptive least-squares spectral element method for phase-field models

Computers & mathematics with applications (1987), 2018-03, Vol.75 (5), p.1582-1594

2018

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C^sup 1^ continuous h-adaptive least-squares spectral element method for phase-field models

Computers & mathematics with applications (1987), 2018-03, Vol.75 (5), p.1582

2018

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Physics-compatible discretization techniques on single and dual grids, with application to the Poisson equation of volume forms

Journal of computational physics, 2014-01, Vol.257, p.1394-1422

2014

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Time-dependent generalized polynomial chaos

Journal of computational physics, 2010-11, Vol.229 (22), p.8333-8363

2010

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Spectral Mimetic Least-Squares Method for Curl-curl Systems

Large-Scale Scientific Computing, p.119-127

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Non-conforming least-squares spectral element method for Stokes equations on non-smooth domains

Review and perspectives in quantum computing for partial differential equations in structural mechanics

Mixed mimetic spectral element method for Stokes flow: A pointwise divergence-free solution

A spectral mimetic least-squares method for the Stokes equations with no-slip boundary condition

Spectral element method for parabolic interface problems

A MEEVC discretization for two-dimensional incompressible Navier-Stokes equations with general boundary conditions

A spectral mimetic least-squares method

Construction and application of an algebraic dual basis and the Fine-Scale Greens’ Function for computing projections and reconstructing unresolved scales

Minimum Residual and Least Squares Finite Element Methods II

Efficient simulation of CO2 migration dynamics in deep saline aquifers using a multi-task deep learning technique with consistency

Direct Minimization of the Discontinuous Least-Squares Spectral Element Method for Viscoelastic Fluids

A hybrid mimetic spectral element method for three-dimensional linear elasticity problems

A spectral mimetic least-squares method for the Stokes equations with no-slip boundary condition

An Introduction to a Compatible Spectral Discretization Method

Discrete conservation properties for shallow water flows using mixed mimetic spectral elements

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

Mass- and Momentum Conservation of the Least-Squares Spectral Element Method for the Stokes Problem

Design of a Direct numerical Simulation of flow and heat transfer in a T-junction

C 1 continuous h -adaptive least-squares spectral element method for phase-field models

Analysis of Linear Piecewise Constant Delay Systems Using a Hybrid Numerical Scheme

C1 continuous h-adaptive least-squares spectral element method for phase-field models

C^sup 1^ continuous h-adaptive least-squares spectral element method for phase-field models

Physics-compatible discretization techniques on single and dual grids, with application to the Poisson equation of volume forms

Time-dependent generalized polynomial chaos

Spectral Mimetic Least-Squares Method for Curl-curl Systems

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