6 papers · 1 filter
The High Order Virtual Element Method On Approximate Domains: Neumann Boundary Conditions
Silvia Bertoluzza, Monica Montardini, Daniele Prada
In the framework of the virtual element method with shifted boundary type treatment of curved geometries, we propose a novel approach to the treatment of Neumann boundary condition…
The Isogeometric Fast Fourier-based Diagonalization method
Monica Montardini, Stefan Takacs, Mattia Tani
The construction of robust solvers for linear systems obtained from the discretization of partial differential equations using Isogeometric Analysis is challenging since the condit…
Space-Time Isogeometric Method for a Nonlocal Parabolic Problem
Sudhakar Chaudhary, Shreya Chauhan, Monica Montardini
In the present work, we focus on the space-time isogeometric discretization of a parabolic problem with a nonlocal diffusion coefficient. The existence and uniqueness of the soluti…
A domain decomposition method for Isogeometric multi-patch problems with inexact local solvers
Michal Bosy, Monica Montardini, Giancarlo Sangalli +1
In Isogeometric Analysis, the computational domain is often described as multi-patch, where each patch is given by a tensor product spline/NURBS parametrization. In this work we pr…
An efficient solver for space-time isogeometric Galerkin methods for parabolic problems
Gabriele Loli, Monica Montardini, Giancarlo Sangalli +1
In this work we focus on the preconditioning of a Galerkin space-time isogeometric discretization of the heat equation. Exploiting the tensor product structure of the basis functio…
Space-time least-squares isogeometric method and efficient solver for parabolic problems
Monica Montardini, Matteo Negri, Giancarlo Sangalli +1
In this paper, we propose a space-time least-squares isogeometric method to solve parabolic evolution problems, well suited for high-degree smooth splines in the space-time domain.…