123 citations · 447 across the 29 of their papers we have counts for
32 papers
Conformalized Physics-Informed Weak Regression for Parameter Estimation in Epidemic Models
Allan Peter Engsig-Karup
Compartment models of infectious diseases are often linear in coefficients that are physical parameters or products or ratios of them. We exploit this with closed-form least square…
AURA: Angular Update Rate Adaptation for training complex-valued neural networks
Enrico Ballini, Allan Peter Engsig-Karup, Tito Andriollo
Complex-valued neural networks (CVNNs) are increasingly adopted for complex-valued data; however, they are often trained with first-order optimizers inherited from the real-valued…
A high-order polynomial-corrected shifted boundary method for simulating fully nonlinear water waves
Jens Visbech, Allan P. Engsig-Karup, Harry B. Bingham +1
We present a novel unfitted computational framework for simulating fully nonlinear potential flow-based water waves. Focusing on wave propagation, we describe the core methodology,…
Estimating Hydrodynamic Coefficients for Floating Offshore Structures from Movement Data Using Physics-Informed Neural Networks
Anders Schou, Jens Visbech, Allan Peter Engsig-Karup
We present a method for estimating the hydrodynamic coefficients in the Cummins equations using time-series data from a moving body, such as a floating offshore structure. The prop…
A holomorphic neural network framework for 3D boundary value problems governed by harmonic potentials
Enrico Ballini, Allan Peter Engsig-Karup, Tito Andriollo
We present a neural-network-based framework for the solution of three-dimensional boundary value problems where the solution is expressible in terms of harmonic potentials. The app…
An IMEX-DG solver with non-conforming mesh refinement for atmospheric dynamics with rotation
Letizia Bottani, Tommaso Benacchio, Giuseppe Orlando +2
We present a high-order implicit-explicit discontinuous Galerkin (IMEX-DG) solver for the compressible Euler equations to account for rotational effects within a fully compressible…
Reduced-Order Surrogates for Forced Flexible Mesh Coastal-Ocean Models
Freja Høgholm Petersen, Jesper Sandvig Mariegaard, Rocco Palmitessa +1
While proper orthogonal decomposition (POD)-based surrogates are widely explored for hydrodynamic applications, the use of Koopman autoencoders for real-world coastal-ocean modelli…
An unstructured second-order subgrid method for the shallow water equations
Max Ebstrup Bitsch, Irene Torpe Heilmann, Allan Peter Engsig-Karup +2
We propose a new unstructured numerical subgrid method for solving the shallow water equations using a finite volume method with enhanced bathymetry resolution. The method employs…
A High-Order Spectral Element Solver for Steady-State Free Surface Flows
Simone Minniti, Jens Visbech, Claes Eskilsson +2
We present a spectral element solver for the steady incompressible Navier-Stokes equations subject to a free surface. Utilizing the kinematic behaviour of the free surface boundary…
Subspace Acceleration for Efficient Nonlinear Water Wave Simulation
Rasmus Kleist Hørlyck Sørensen, Margherita Guido, Allan Peter Engsig-Karup +1
Efficient simulation of nonlinear and dispersive free-surface flows governed by the incompressible Navier-Stokes equations remains a central challenge in ocean and coastal engineer…
Physics-Informed Regression: Parameter Estimation in Parameter-Linear Nonlinear Dynamic Models
Jonas Søeborg Nielsen, Marcus Galea Jacobsen, Albert Brincker Olson +2
We present a new efficient hybrid parameter estimation method based on the idea, that if nonlinear dynamic models are stated in terms of a system of equations that is linear in ter…
FNPF-SEM: A parallel spectral element model in Firedrake for fully nonlinear water wave simulations
Jens Visbech, Anders Melander, Allan Peter Engsig-Karup
We present a new parallel spectral element solver, FNPF-SEM, for simulating linear and fully nonlinear potential flow-based water waves and their interaction with offshore structur…
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 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…
Sound propagation in realistic interactive 3D scenes with parameterized sources using deep neural operators
Nikolas Borrel-Jensen, Somdatta Goswami, Allan P. Engsig-Karup +2
We address the challenge of sound propagation simulations in 3D virtual rooms with moving sources, which have applications in virtual/augmented reality, game audio, and spatial com…
Solving the complete pseudo-impulsive radiation and diffraction problem using a spectral element method
Jens Visbech, Allan P. Engsig-Karup, Harry B. Bingham
This paper presents a novel, efficient, high-order accurate, and stable spectral element-based model for computing the complete three-dimensional linear radiation and diffraction p…
Reduced order modelling using parameterized non-uniform boundary conditions in room acoustic simulations
Hermes Sampedro Llopis, Cheol-Ho Jeong, Allan P. Engsig-Karup
Quick simulations for iterative evaluations of multi-design variables and boundary conditions are essential to find the optimal acoustic conditions in building design. We propose t…
Accelerating hydrodynamic simulations of urban drainage systems with physics-guided machine learning
Rocco Palmitessa, Morten Grum, Allan Peter Engsig-Karup +1
We propose and demonstrate a new approach for fast and accurate surrogate modelling of urban drainage system hydraulics based on physics-guided machine learning. The surrogates are…
A spectral element solution of the 2D linearized potential flow radiation problem
Jens Visbech, Allan P. Engsig-Karup, Harry B. Bingham
We present a scalable 2D Galerkin spectral element method solution to the linearized potential flow radiation problem for wave induced forcing of a floating offshore structure. The…
Efficient Uncertainty Quantification and Sensitivity Analysis in Epidemic Modelling using Polynomial Chaos
Bjørn Jensen, Allan P. Engsig-Karup, Kim Knudsen
In the political decision process and control of COVID-19 (and other epidemic diseases), mathematical models play an important role. It is crucial to understand and quantify the un…
Physics-informed neural networks for one-dimensional sound field predictions with parameterized sources and impedance boundaries
Nikolas Borrel-Jensen, Allan P. Engsig-Karup, Cheol-Ho Jeong
Realistic sound is essential in virtual environments, such as computer games and mixed reality. Efficient and accurate numerical methods for pre-calculating acoustics have been dev…
Reduced basis methods for numerical room acoustic simulations with parametrized boundaries
Hermes Sampedro Llopis, Allan P. Engsig-Karup, Cheol-Ho Jeong +2
The use of model-based numerical simulation of wave propagation in rooms for engineering applications requires that acoustic conditions for multiple parameters are evaluated iterat…