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Jan Nordstrom

affiliation not provided to SSRN

SCHOLARLY PAPERS

7

DOWNLOADS

166

TOTAL CITATIONS

1

Scholarly Papers (7)

1.

An Sbp-Sat Continuous Galerkin Finite Element Formulation for Smooth and Discontinuous Fields

Number of pages: 34 Posted: 30 Nov 2023
Arnaud George Malan and Jan Nordstrom
University of Cape Town (UCT) and affiliation not provided to SSRN
Downloads 50 (1,063,489)

Abstract:

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continuous Galerkin finite element method, Summation-by-Parts (SBP) and Simultaneous-Approximation-Term (SAT), artificial dissipation, high-order accuracy, smooth and discontinuous fields, provable stability

2.

On the Theoretical Foundation of Overset Grid Methods for Hyperbolic Problems Ii: Entropy Bounded Formulations for Nonlinear Conservation Laws

Number of pages: 21 Posted: 04 Apr 2022
David A. Kopriva, Gregor J. Gassner and Jan Nordstrom
Florida State University, University of Cologne and affiliation not provided to SSRN
Downloads 33 (1,277,121)
Citation 1

Abstract:

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Overset Grids, Chimera Method, Entropy Stability, Conservation, Penalty Methods

3.

Aligning Linear and Nonlinear Boundary Condition Theory for the Compressible Euler Equations using Congruence Matrix Analysis

Number of pages: 4 Posted: 25 Dec 2025
Andrew Ross Winters and Jan Nordstrom
affiliation not provided to SSRN and affiliation not provided to SSRN
Downloads 25 (1,385,945)

Abstract:

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Boundary conditions, Skew-symmetric form, Compressible Euler equations, Nonlinear stability, Simultaneous approximation term, Numerical fluxes

4.

Global Bounds for the Error in Solutions of Linear Hyperbolic Systems Due to Inaccurate Boundary Geometry

Number of pages: 31 Posted: 28 Mar 2025
Florida State University, affiliation not provided to SSRN and affiliation not provided to SSRN
Downloads 25 (1,385,945)

Abstract:

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5.

A Superconvergent Stencil-Adaptive Sbp-Sat Finite Difference Scheme

Number of pages: 7 Posted: 19 Jun 2023
Viktor Linders, Mark H. Carpenter and Jan Nordstrom
Lund University, affiliation not provided to SSRN and affiliation not provided to SSRN
Downloads 15 (1,500,778)

Abstract:

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Summation-By-Parts, Adaptivity, Superconvergence

6.

A high order accurate and energy stable continuous Galerkin framework on summation-by-parts form for the incompressible Navier-Stokes equations

Number of pages: 19 Posted: 24 Apr 2026
University of Cape Town, University of Cape Town (UCT), affiliation not provided to SSRN and affiliation not provided to SSRN
Downloads 10 (1,541,665)

Abstract:

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7.

Numerical boundary flux functions that give provable bounds for nonlinear initial boundary value problems with open boundaries

Number of pages: 34 Posted: 09 Feb 2026
affiliation not provided to SSRN, Florida State University and affiliation not provided to SSRN
Downloads 8 (1,555,090)

Abstract:

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Open boundaries, Boundary flux function, Discontinuous Galerkin spectral element method, Nonlinear energy stability, entropy stability, Shallow water equations