Concept
Elliptic boundary value problem
Publications associées (28)
Conservation of Forces and Total Work at the Interface Using the Internodes Method
The Internodes method is a general purpose method to deal with non-conforming discretizations of partial differential equations on 2D and 3D regions partitioned into disjoint subdomains. In this paper we are interested in measuring how much the Internodes ...
2022Application of optimal spline subspaces for the removal of spurious outliers in isogeometric discretizations
We show that isogeometric Galerkin discretizations of eigenvalue problems related to the Laplace operator subject to any standard type of homogeneous boundary conditions have no outliers in certain optimal spline subspaces. Roughly speaking, these optimal ...
ELSEVIER SCIENCE SA2022On sums of eigenvalues of elliptic operators on manifolds
We use the averaged variational principle introduced in a recent article on graph spectra [10] to obtain upper bounds for sums of eigenvalues of several partial differential operators of interest in geometric analysis, which are analogues of Kroger's bound ...
European Mathematical Soc2017On a Lagrangian Formulation of the Incompressible Euler Equation
In this paper we show that the incompressible Euler equation on the Sobolev space H-s(R-n), s> n/2+1, can be expressed in Lagrangian coordinates as a geodesic equation on an infinite dimensional manifold. Moreover the Christoffel map describing the geodesi ...
Global Science Press2016Convergence of quasi-optimal sparse-grid approximation of Hilbert-space-valued functions: application to random elliptic PDEs
Fabio Nobile, Lorenzo Tamellini
In this work we provide a convergence analysis for the quasi-optimal version of the sparse-grids stochastic collocation method we presented in a previous work: “On the optimal polynomial approximation of stochastic PDEs by Galerkin and collocation methods” ...
2016Reduced basis method and domain decomposition for elliptic problems in networks and complex parametrized geometries
Alfio Quarteroni, Gianluigi Rozza, Laura Iapichino
The aim of this work is to solve parametrized partial differential equations in computational domains represented by networks of repetitive geometries by combining reduced basis and domain decomposition techniques. The main idea behind this approach is to ...
Elsevier2016