Numerical Solution of 3D Exterior Unsteady Wave Propagation Problems Using Boundary Operators

DOI10.1137/19M1269269zbMath1457.65061OpenAlexW3097709016MaRDI QIDQ5146676

Sergey Petropavlovsky, Semyon V. Tsynkov, Eli Turkel

Publication date: 26 January 2021

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/19m1269269

zbMATH Keywords

Huygens' principleinitial boundary value problemmethod of difference potentialstime-dependent wave (d'Alembert) equation

Mathematics Subject Classification ID

Wave equation (35L05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Applications to the sciences (65Z05) Waves and radiation in optics and electromagnetic theory (78A40) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22) Model reduction in optics and electromagnetic theory (78M34)

Related Items (4)

Solution of three-dimensional multiple scattering problems by the method of difference potentials ⋮ Local-basis difference potentials method for elliptic PDEs in complex geometry ⋮ Computation of unsteady electromagnetic scattering about 3D complex bodies in free space with high-order difference potentials ⋮ 3D time-dependent scattering about complex shapes using high order difference potentials

Uses Software

• MKL

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the stability of time-domain integral equations for acoustic wave propagation
• A non-deteriorating algorithm for computational electromagnetism based on quasi-lacunae of Maxwell's equations
• Time compact high order difference methods for wave propagation, 2D
• Long-time performance of unsplit pmls with explicit second order schemes
• Faithful transfer of difference boundary conditions
• On accuracy conditions for the numerical computation of waves
• Numerical solution of problems on unbounded domains. A review
• On the multistep time discretization of linear initial-boundary value problems and their boundary integral equations
• A mathematical analysis of the PML method
• A new formalism for time-dependent electromagnetic scattering from a bounded obstacle
• Long time behavior of the perfectly matched layer equations in computational electromagnetics
• Non-deteriorating time domain numerical algorithms for Maxwell's electrodynamics
• A method of boundary equations for unsteady hyperbolic problems in 3D
• On long time error bounds for the wave equation on second order form
• Method of difference potentials for evolution equations with lacunas
• High-order discretization of a stable time-domain integral equation for 3D acoustic scattering
• Compact high order accurate schemes for the three dimensional wave equation
• Complementary solutions of Nitsche's method
• A stabilized Nitsche cut element method for the wave equation
• Method of Difference Potentials and Its Applications
• Retarded Potentials and Time Domain Boundary Integral Equations
• Comparison of High-Accuracy Finite-Difference Methods for Linear Wave Propagation
• Surface scattering in three dimensions: an accelerated high–order solver
• High-order, Dispersionless “Fast-Hybrid” Wave Equation Solver. Part I: O(1) Sampling Cost via Incident-Field Windowing and Recentering
• The Immersed Interface Method
• Exponential decay of solutions of the wave equation in the exterior of a star‐shaped obstacle
• A fast, high-order algorithm for the solution of surface scattering problems: Basic implementation, tests, and applications

This page was built for publication: Numerical Solution of 3D Exterior Unsteady Wave Propagation Problems Using Boundary Operators