3D time-dependent scattering about complex shapes using high order difference potentials

DOI10.1016/j.jcp.2022.111632OpenAlexW4296378990MaRDI QIDQ2088360

Sergey Petropavlovsky, Eli Turkel, Semyon V. Tsynkov

Publication date: 21 October 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2022.111632

zbMATH Keywords

Huygens' principleCAD surface with patched parameterizationCalderon's boundary equationshigh order splines (NURBS)high-order compact schemes on Cartesian gridsunsteady acoustic waves

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Hyperbolic equations and hyperbolic systems (35Lxx)

Related Items (2)

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the stability of time-domain integral equations for acoustic wave propagation
• Some properties of layer potentials and boundary integral operators for the wave equation
• Coupling discontinuous Galerkin methods and retarded potentials for transient wave propagation on unbounded domains
• Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
• 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 survey on Huygens' principle
• A new formalism for time-dependent electromagnetic scattering from a bounded obstacle
• A high order compact time/space finite difference scheme for the wave equation with variable speed of sound
• Numerical solution of the wave equation with variable wave speed on nonconforming domains by high-order difference potentials
• A method of boundary equations for unsteady hyperbolic problems in 3D
• A Chebyshev-based rectangular-polar integral solver for scattering by geometries described by non-overlapping patches
• 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
• Lacunas for hyperbolic differential operators with constant coefficients.I
• Lacunas for hyperbolic differential operators with constant coefficients. II
• The problem of diffusion of waves
• Method of Difference Potentials and Its Applications
• Retarded Potentials and Time Domain Boundary Integral Equations
• Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
• Time-domain finite-element methods
• Isogeometric Analysis
• High-order, Dispersionless “Fast-Hybrid” Wave Equation Solver. Part I: O(1) Sampling Cost via Incident-Field Windowing and Recentering
• Numerical Solution of 3D Exterior Unsteady Wave Propagation Problems Using Boundary Operators
• A fast time domain integral equation based scheme for analyzing scattering from dispersive objects
• The Immersed Interface Method
• Exponential decay of solutions of the wave equation in the exterior of a star‐shaped obstacle

This page was built for publication: 3D time-dependent scattering about complex shapes using high order difference potentials