Novel adaptive finite volume method on unstructured meshes for time-domain wave scattering and diffraction
DOI10.1016/j.camwa.2023.03.025OpenAlexW4362704058MaRDI QIDQ6103628
Mohammed Seaid, M. Shadi Mohamed, Tarek Ghoudi
Publication date: 5 June 2023
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2023.03.025
wave equationfinite volume methodmesh adaptationwave diffractionwave scatteringvertex-centered discretization
Finite volume methods applied to problems in fluid mechanics (76M12) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Cites Work
- Unnamed Item
- Unnamed Item
- Upwind schemes for the wave equation in second-order form
- A posteriori error estimates for combined finite volume-finite element discretizations of reactive transport equations on nonmatching grids
- Multi-level Monte Carlo finite volume methods for uncertainty quantification of acoustic wave propagation in random heterogeneous layered medium
- Arbitrary high order non-oscillatory finite volume schemes on unstructured meshes for linear hyperbolic systems
- Robust error bounds for finite element approximation of reaction-diffusion problems with non-constant reaction coefficient in arbitrary space dimension
- A new high-order finite volume method for 3D elastic wave simulation on unstructured meshes
- Pollution studies for high order isogeometric analysis and finite element for acoustic problems
- A simple approach to reliable and robust a posteriori error estimation for singularly perturbed problems
- Quantifying discretization errors for soft tissue simulation in computer assisted surgery: a preliminary study
- Explicit time integration with lumped mass matrix for enriched finite elements solution of time domain wave problems
- Adaptive finite element method for the sound wave problems in two kinds of media
- A fast finite volume method for spatial fractional diffusion equations on nonuniform meshes
- Parallel domain decomposition schemes based on finite volume element discretization for nonsteady-state diffusion equations on distorted meshes
- A vertex-based reconstruction for cell-centered finite-volume discretization on unstructured grids
- Highly accurate acoustic scattering: isogeometric analysis coupled with local high order Farfield Expansion ABC
- \(h\)- and \(p\)-adaptivity driven by recovery and residual-based error estimators for PHT-splines applied to time-harmonic acoustics
- Iterative solution with shifted Laplace preconditioner for plane wave enriched isogeometric analysis and finite element discretization for high-frequency acoustics
- Error-controlled adaptive extended finite element method for 3D linear elastic crack propagation
- Iterative solution of Helmholtz problem with high-order isogeometric analysis and finite element method at mid-range frequencies
- A finite volume approach for the simulation of nonlinear dissipative acoustic wave propagation
- Higher-order accurate two-step finite difference schemes for the many-dimensional wave equation
- Well-balanced finite volume schemes for pollutant transport by shallow water equations on unstructured meshes
- Acoustic wave propagation and its application to fluid structure interaction using the cumulant lattice Boltzmann method
- A Coarsening Algorithm on Adaptive Grids by Newest Vertex Bisection and Its Applications
- Finite Element Solution of the Helmholtz Equation with High Wave Number Part II: The h-p Version of the FEM
- Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
- Finite Volume Methods for Hyperbolic Problems
- A Local A Posteriori Error Estimator Based on Equilibrated Fluxes
- Principles of Parallel Scientific Computing
- Numerical Assessment of Criteria for Mesh Adaptation in the Finite Volume Solution of Shallow Water Equations
- Runge--Kutta-Based Explicit Local Time-Stepping Methods for Wave Propagation
- Equilibrated residual error estimator for edge elements
This page was built for publication: Novel adaptive finite volume method on unstructured meshes for time-domain wave scattering and diffraction
