Sergei Petropavlovskii

Works (2)

Updated: April 5th, 2024 10:01

2018 journal article

A method of boundary equations for unsteady hyperbolic problems in 3D

Journal of Computational Physics, 365, 294–323.

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

author keywords: Time-dependent wave equation; Calderon's boundary equation; The Huygens' principle; Method of difference potentials (MDP); Sub-linear complexity; Parallelization in time
topics (OpenAlex): Advanced Numerical Methods in Computational Mathematics; Electromagnetic Simulation and Numerical Methods; Electromagnetic Scattering and Analysis
TL;DR: The Huygens' principle is used to obtain the operator equation in a form that involves only finite and non-increasing pre-history of the solution in time, and the resulting boundary equation is solved efficiently by the method of difference potentials (MDP). (via Semantic Scholar)
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Sources: Web Of Science, Crossref, NC State University Libraries, ORCID
Added: August 6, 2018

2017 journal article

High-order numerical solution of the Helmholtz equation for domains with reentrant corners

Applied Numerical Mathematics, 118, 87–116.

By: S. Magura n, S. Petropavlovsky n, S. Tsynkov n  & E. Turkel *

author keywords: Singularity subtraction; Regularization; Asymptotic expansion near singularity; Difference potentials; Curvilinear boundaries; Compact differencing
topics (OpenAlex): Numerical methods in engineering; Electromagnetic Simulation and Numerical Methods; Advanced Numerical Methods in Computational Mathematics
Sources: Web Of Science, NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

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