Darrell Steven Britt

Works (2)

Updated: July 5th, 2023 15:48

2013 journal article

A High-Order Numerical Method for the Helmholtz Equation with Nonstandard Boundary Conditions

SIAM Journal on Scientific Computing, 35(5), A2255–A2292.

By: D. Britt*, S. Tsynkov*  & E. Turkel

author keywords: difference potentials; boundary projections; Calderon's operators; regular grids; curvilinear boundaries; boundary value problems; variable coefficients; Robin boundary conditions; mixed/piecewise boundary conditions; compact differencing; high-order accuracy
TL;DR: The approach combines compact finite difference schemes that provide an inexpensive venue toward high-order accuracy with the method of difference potentials developed by Ryaben'kii, introducing a universal framework for treating boundary conditions of any type. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2010 journal article

A Compact Fourth Order Scheme for the Helmholtz Equation in Polar Coordinates

Journal of Scientific Computing, 45(1-3), 26–47.

By: S. Britt  n, S. Tsynkov n  & E. Turkel *

author keywords: Helmholtz equation; Variable coefficients; Polar coordinates; High order accuracy; Compact finite differences; Exact artificial boundary condition (ABC)
TL;DR: This work develops a new compact scheme that is provably fourth order accurate even for scattering problems and presents numerical results that corroborate the fourth order convergence rate for several scattering problems. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

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