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Arnaud George Malan

University of Cape Town (UCT)

Cape Town

South Africa

SCHOLARLY PAPERS

3

DOWNLOADS

70

TOTAL CITATIONS

0

Scholarly Papers (3)

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.

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
Mrityunjoy Mandal, Arnaud George Malan, Prince Nchupang and Jan Nordstrom
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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3.

Robust B-Spline based interface tracking for melting particles in coupled thermo-buoyant dynamics

Number of pages: 45 Posted: 10 Feb 2026
affiliation not provided to SSRN, affiliation not provided to SSRN, affiliation not provided to SSRN, University of Cape Town, University of Cape Town (UCT), Ghent University and affiliation not provided to SSRN
Downloads 10 (1,548,648)

Abstract:

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B-Spline surfaces, Melting dynamics, Surface deformation algorithm, Front-tracking method, Thermobuoyant flows