27 citations · 96 across the 15 of their papers we have counts for
17 papers
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…
Minimization-based polynomial corrections for high-order curved boundaries on fixed and moving domains: assessment on finite volume and discontinuous Galerkin schemes
Mirco Ciallella, Walter Boscheri
In this work, we present two novel strategies to impose high-order boundary conditions on fixed and moving curved domains, approximated with piecewise affine triangulations. Achiev…
Minimization-based embedded boundary methods as polynomial corrections: a stability study of discontinuous Galerkin for hyperbolic equations
Mirco Ciallella
This work establishes a novel, unified theoretical framework for a class of high order embedded boundary methods, revealing that the Reconstruction for Off-site Data (ROD) treatmen…
Stability analysis of discontinuous Galerkin with a high order embedded boundary treatment for linear hyperbolic equations
Mirco Ciallella
Embedded, or immersed, approaches have the goal of reducing to the minimum the computational costs associated with the generation of body-fitted meshes by only employing fixed, pos…
High order global flux schemes for general steady state preservation of shallow water moment equations with non-conservative products
Mirco Ciallella, Julian Koellermeier
Shallow water moment equations are reduced-order models for free-surface flows that allow to represent vertical variations of the velocity profile at the expense of additional evol…
Genuinely multi-dimensional stationarity preserving Finite Volume formulation for nonlinear hyperbolic PDEs
Wasilij Barsukow, Mirco Ciallella, Mario Ricchiuto +1
Classical Finite Volume methods for multi-dimensional problems include stabilization (e.g.\ via a Riemann solver), that is derived by considering several one-dimensional problems i…