Numerical modeling of mechanical wave propagation
G Seriani, SP Oliveira - La Rivista del Nuovo Cimento, 2020 - Springer
The numerical modeling of mechanical waves is currently a fundamental tool for the study
and investigation of their propagation in media with heterogeneous physical properties …
and investigation of their propagation in media with heterogeneous physical properties …
Corner treatments for high-order local absorbing boundary conditions in high-frequency acoustic scattering
This paper deals with the design and validation of accurate local absorbing boundary
conditions set on convex polygonal and polyhedral computational domains for the finite …
conditions set on convex polygonal and polyhedral computational domains for the finite …
A non-overlapping domain decomposition method with high-order transmission conditions and cross-point treatment for Helmholtz problems
A non-overlapping domain decomposition method (DDM) is proposed for the parallel finite-
element solution of large-scale time-harmonic wave problems. It is well-known that the …
element solution of large-scale time-harmonic wave problems. It is well-known that the …
Solving the discretised neutron diffusion equations using neural networks
TRF Phillips, CE Heaney, B Chen… - International Journal …, 2023 - Wiley Online Library
This paper presents a new approach which uses the tools within artificial intelligence (AI)
software libraries as an alternative way of solving partial differential equations (PDEs) that …
software libraries as an alternative way of solving partial differential equations (PDEs) that …
A local collocation method to construct Dirichlet-type absorbing boundary conditions for transient scalar wave propagation problems
This paper introduces an effective way to equip the standard finite element method (FEM) for
the solution of transient scalar wave propagation problems in unbounded domains. Similar …
the solution of transient scalar wave propagation problems in unbounded domains. Similar …
A weight-adjusted discontinuous Galerkin method for the poroelastic wave equation: Penalty fluxes and micro-heterogeneities
We introduce a high-order weight-adjusted discontinuous Galerkin (WADG) scheme for the
numerical solution of three-dimensional (3D) wave propagation problems in anisotropic …
numerical solution of three-dimensional (3D) wave propagation problems in anisotropic …
Hybrid absorbing scheme based on hyperelliptical layers with non-reflecting boundary conditions in scalar wave equations
Modeling unbounded or semi-infinite media with numerical methods, such as finite
elements, requires avoiding that waves pass through the boundaries of the truncated …
elements, requires avoiding that waves pass through the boundaries of the truncated …
Weight‐adjusted discontinuous Galerkin methods: Matrix‐valued weights and elastic wave propagation in heterogeneous media
J Chan - International Journal for Numerical Methods in …, 2018 - Wiley Online Library
Weight‐adjusted inner products are easily invertible approximations to weighted L 2 inner
products. These approximations can be paired with a discontinuous Galerkin (DG) …
products. These approximations can be paired with a discontinuous Galerkin (DG) …
Stability and convergence analysis of artificial boundary conditions for the Schrödinger equation on a rectangular domain
Based on the semi-discrete artificial boundary condition introduced by Ji, Yang, and Antoine
[Comput. Phys. Commun. 222 (2018), pp. 84–93] for the two-dimensional free Schrödinger …
[Comput. Phys. Commun. 222 (2018), pp. 84–93] for the two-dimensional free Schrödinger …
An efficient domain decomposition method with cross-point treatment for Helmholtz problems
The parallel finite-element solution of large-scale time-harmonic scattering problems is
addressed with a non-overlapping domain decomposition method. The efficiency of this …
addressed with a non-overlapping domain decomposition method. The efficiency of this …