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Nonlinear boundary conditions for initial boundary value problems with applications in computational fluid dynamics

Journal of computational physics, 2024-02, Vol.498, p.112685, Article 112685

Nordström, Jan

2024

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A skew-symmetric energy and entropy stable formulation of the compressible Euler equations

Journal of computational physics, 2022-12, Vol.470, p.111573, Article 111573

Nordström, Jan

2022

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Nonlinear and linearised primal and dual initial boundary value problems: When are they bounded? How are they connected?

Journal of computational physics, 2022-04, Vol.455, p.111001, Article 111001

Nordström, Jan

2022

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Review of summation-by-parts schemes for initial–boundary-value problems

Journal of computational physics, 2014-07, Vol.268, p.17-38

2014

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A Roadmap to Well Posed and Stable Problems in Computational Physics

Journal of scientific computing, 2017-04, Vol.71 (1), p.365-385

Nordström, Jan

2017

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A new variational discretization technique for initial value problems bypassing governing equations

Journal of computational physics, 2023-03, Vol.477, p.111942, Article 111942

2023

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Summation-by-parts in time

Journal of computational physics, 2013-10, Vol.251, p.487-499

2013

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On the convergence rates of energy-stable finite-difference schemes

Journal of computational physics, 2019-11, Vol.397, p.108819, Article 108819

2019

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The SBP-SAT technique for initial value problems

Journal of computational physics, 2014-08, Vol.270, p.86-104

2014

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A multi-domain summation-by-parts formulation for complex geometries

Journal of computational physics, 2022-08, Vol.463, p.111269, Article 111269

2022

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A superconvergent stencil-adaptive SBP-SAT finite difference scheme

Journal of computational physics, 2024-03, Vol.501, p.112794, Article 112794

2024

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Energy stable boundary conditions for the nonlinear incompressible Navier--Stokes equations

Mathematics of computation, 2019-03, Vol.88 (316), p.665-690

2019

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The relation between primal and dual boundary conditions for hyperbolic systems of equations

Journal of computational physics, 2020-01, Vol.401, p.109032, Article 109032

2020

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Well-posed and stable transmission problems

Journal of computational physics, 2018-07, Vol.364, p.95-110

2018

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A New Class of A Stable Summation by Parts Time Integration Schemes with Strong Initial Conditions

Journal of scientific computing, 2021-04, Vol.87 (1), Article 33

2021

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Encapsulated high order difference operators on curvilinear non-conforming grids

Journal of computational physics, 2019-05, Vol.385, p.209-224

2019

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On conservation and dual consistency for summation-by-parts based approximations of parabolic problems

Journal of computational physics, 2020-06, Vol.410, p.109282, Article 109282

2020

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Eigenvalue Analysis for Summation-by-Parts Finite Difference Time Discretizations

SIAM journal on numerical analysis, 2020-01, Vol.58 (2), p.907-928

2020

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Stable and Accurate Filtering Procedures

Journal of scientific computing, 2020, Vol.82 (1), p.16, Article 16

2020

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On the theoretical foundation of overset grid methods for hyperbolic problems II: Entropy bounded formulations for nonlinear conservation laws

Journal of computational physics, 2022-12, Vol.471, p.111620, Article 111620

2022

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Neural network enhanced computations on coarse grids

Journal of computational physics, 2021-01, Vol.425, p.109821, Article 109821

2021

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Energy stable wall modeling for the Navier-Stokes equations

Journal of computational physics, 2022-05, Vol.457, p.111046, Article 111046

2022

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Convergence of energy stable finite-difference schemes with interfaces

Journal of computational physics, 2021-03, Vol.429, p.110020, Article 110020

2021

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Summation-By-Parts in Time: The Second Derivative

SIAM journal on scientific computing, 2016-01, Vol.38 (3), p.A1561-A1586

2016

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Uniformly best wavenumber approximations by spatial central difference operators

Journal of computational physics, 2015-11, Vol.300, p.695-709

2015

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Nonlinear boundary conditions for initial boundary value problems with applications in computational fluid dynamics

A skew-symmetric energy and entropy stable formulation of the compressible Euler equations

Nonlinear and linearised primal and dual initial boundary value problems: When are they bounded? How are they connected?

Review of summation-by-parts schemes for initial–boundary-value problems

A Roadmap to Well Posed and Stable Problems in Computational Physics

A new variational discretization technique for initial value problems bypassing governing equations

Summation-by-parts in time

On the convergence rates of energy-stable finite-difference schemes

The SBP-SAT technique for initial value problems

A multi-domain summation-by-parts formulation for complex geometries

A superconvergent stencil-adaptive SBP-SAT finite difference scheme

Energy stable boundary conditions for the nonlinear incompressible Navier--Stokes equations

The relation between primal and dual boundary conditions for hyperbolic systems of equations

Well-posed and stable transmission problems

A New Class of A Stable Summation by Parts Time Integration Schemes with Strong Initial Conditions

Encapsulated high order difference operators on curvilinear non-conforming grids

On conservation and dual consistency for summation-by-parts based approximations of parabolic problems

Eigenvalue Analysis for Summation-by-Parts Finite Difference Time Discretizations

Stable and Accurate Filtering Procedures

On the theoretical foundation of overset grid methods for hyperbolic problems II: Entropy bounded formulations for nonlinear conservation laws

Neural network enhanced computations on coarse grids

Energy stable wall modeling for the Navier-Stokes equations

Convergence of energy stable finite-difference schemes with interfaces

Summation-By-Parts in Time: The Second Derivative

Uniformly best wavenumber approximations by spatial central difference operators

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