8 papers
Quadrature error estimates on non-matching grids in a fictitious domain framework for fluid-structure interaction problems
Daniele Boffi, Fabio Credali, Lucia Gastaldi
We consider a fictitious domain formulation for fluid-structure interaction problems based on a distributed Lagrange multiplier to couple the fluid and solid behaviors. How to deal…
The MINI mixed virtual element for the Stokes equation
Silvia Bertoluzza, Fabio Credali, Daniele Prada
We present and discuss a generalization of the popular MINI mixed finite element for the 2D Stokes equation by means of conforming virtual elements on polygonal meshes. We prove op…
Automatic computation of the glycemic index: data driven analysis of the glucose standard
Fabio Credali, Maria Teresa Venuti, Daniele Boffi +1
The Glycemic Index (GI) is a tool for classifying carbohydrates based on their impact on postprandial glycemia, useful for diabetes prevention and management. This study applies a…
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…
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…
On the stability and conditioning of a fictitious domain formulation for fluid-structure interaction problems
Daniele Boffi, Fabio Credali, Lucia Gastaldi
We consider a distributed Lagrange multiplier formulation for fluid-structure interaction problems in the spirit of the fictitious domain approach. This is an unfitted method, whic…