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131 papers · 1 filter
Avoiding stabilization terms in virtual elements for eigenvalue problems: The Reduced Basis Virtual Element Method
Silvia Bertoluzza, Fabio Credali, Francesca Gardini
We present the novel Reduced Basis Virtual Element Method (rbVEM) for solving the Laplace eigenvalue problem. This approach is based on the lowest-order virtual element method and…
Benchmarking stabilized and self-stabilized p-virtual element methods with variable coefficients
Paola Pia Foligno, Daniele Boffi, Fabio Credali +1
Standard Virtual Element Methods (VEM) are based on polynomial projections and require a stabilization term to evaluate the contribution of the non-polynomial component of the disc…
Advances on the finite element discretization of fluid-structure interaction problems
Najwa Alshehri, Daniele Boffi, Fabio Credali +1
We review the main features of an unfitted finite element method for interface and fluid-structure interaction problems based on a distributed Lagrange multiplier in the spirit of…
AT1 fourth-order isogeometric phase-field modeling of brittle fracture
Luigi Greco, Eleonora Maggiorelli, Matteo Negri +2
A crucial aspect in phase-field modeling, based on the variational formulation of brittle fracture, is the accurate representation of how the fracture surface energy is dissipated…
Inf-sup stable space-time Local Discontinuous Galerkin method for the heat equation
Sergio Gómez, Chiara Perinati, Paul Stocker
We propose and analyze a space-time Local Discontinuous Galerkin method for the approximation of the solution to parabolic problems. The method allows for very general discrete spa…
A theoretical study on the effect of mass lumping on the discrete frequencies in immersogeometric analysis
Ivan Bioli, Yannis Voet
In structural dynamics, mass lumping techniques are commonly employed for improving the efficiency of explicit time integration schemes and increasing their critical time step cons…