3 citations · 3 across the 7 of their papers we have counts for
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Generalized high-order minimization-based polynomial corrections on unfitted spectral elements for the Poisson problem
Mirco Ciallella, Jens Visbech
Higher-order finite element methods are effective for solving partial differential equations. However, applying them in complex curved domains is often difficult due to challenges…
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…
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 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…
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…
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…