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math.NA2026
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…
math.NA2025
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…
math.NA2025
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…