13 citations · 13 across the 5 of their papers we have counts for
5 papers
A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves
Anders Melander, Wojciech Laskowski, Spencer J. Sherwin +1
We present a spectral element model for general-purpose simulation of non-overturning nonlinear water waves using the incompressible Navier-Stokes equations (INSE) with a free surf…
Physics-Informed Holomorphic Neural Networks (PIHNNs): Solving Linear Elasticity Problems
Matteo Calafà, Emil Hovad, Allan P. Engsig-Karup +1
We propose physics-informed holomorphic neural networks (PIHNNs) as a method to solve boundary value problems where the solution can be represented via holomorphic functions. Speci…
A High-Order Hybrid-Spectral Incompressible Navier-Stokes Model For Nonlinear Water Waves
Anders Melander, Max E. Bitsch, Dong Chen +1
We present a new high-order accurate computational fluid dynamics model based on the incompressible Navier-Stokes equations with a free surface for the accurate simulation of nonli…
A stable decoupled perfectly matched layer for the 3D wave equation using the nodal discontinuous Galerkin method
Sophia Julia Feriani, Matthias Cosnefroy, Allan Peter Engsig-Karup +3
In outdoor acoustics, the calculations of sound propagating in air can be computationally heavy if the domain is chosen large enough to fulfil the Sommerfeld radiation condition. B…
A spectral element solution of the Poisson equation with shifted boundary polynomial corrections: influence of the surrogate to true boundary mapping and an asymptotically preserving Robin formulation
Jens Visbech, Allan Peter Engsig-Karup, Mario Ricchiuto
We present a new high-order accurate spectral element solution to the two-dimensional scalar Poisson equation subject to a general Robin boundary condition. The solution is based o…