5 papers · 1 filter
Error estimates for the patch bubble method for convection-dominated channel flow problem
Eberhard Bänsch, Pedro Morin, Itatí Zocola
We present error estimates for the BMZ (Bubble Mesh Zoom) residual-free bubble method applied to a convection-diffusion equation in the convection-dominated regime. The method inco…
A convergent algorithm for mean curvature flow of surfaces with Dirichlet boundary conditions
Bárbara Solange Ivaniszyn, Pedro Morin, M. Sebastián Pauletti
We establish convergence results for a spatial semidiscretization of Mean Curvature Flow (MCF) for surfaces with fixed boundaries. Our analysis is based on Huisken's evolution equa…
Patch bubbles for advection-dominated steady and unsteady problems
Eberhard Bänsch, Pedro Morin, Itatí Zocola
A novel variant of the \emph{residual-free bubble} method (RFB) for advection dominated problems is presented. Since the usual RFB still suffers from oscillations and strong under/…
Error analysis for local coarsening in univariate spline spaces
Silvano Figueroa, Eduardo M. Garau, Pedro Morin
In this article we analyze the error produced by the removal of an arbitrary knot from a spline function. When a knot has multiplicity greater than one, this implies a reduction of…
A posteriori error estimates with point sources in fractional Sobolev spaces
Fernando D. Gaspoz, Pedro Morin, Andreas Veeser
We consider Poisson's equation with a finite number of weighted Dirac masses as a source term, together with its discretization by means of conforming finite elements. For the erro…