Now showing items 1-20 of 82

• #### A finite point method for three-dimensional compressible flow ﻿

(2007-09)
External research report
Open Access
• #### A free boundary problem of codimension two ﻿

(2007-06-18)
Audiovisual
Open Access
Conferència presentada dins el marc de la GLOBAL School on PDEs: layers and dislocations (Barcelona, UPC, 18-22 juny 2007).
• #### A generalization of the Allen–Cahn equation ﻿

(2015-04-01)
Article
Open Access
Our aim in this paper is to study generalizations of the Allen–Cahn equation based on a modification of the Ginzburg–Landau free energy proposed in S. Torabi et al. (2009, A new phase-field model for strongly anisotropic ...
• #### A hybridizable discontinuous Galerkin phase-field model for brittle fracture ﻿

(2019-05-01)
Article
Open Access
Phase-field models for brittle fracture consider smeared representations of cracks, which are described by a continuous field that varies abruptly in the transition zone between unbroken and broken states. Computationally, ...
• #### A Liouville type result for fractional Schrödinger operators in 1D ﻿

(Universitat Politècnica de Catalunya, 2017-01)
Master thesis
Open Access
The aim of this master's thesis is to obtain an alternative and original proof of a Liouville type result for fractional Schrödinger operators in 1D without using a local extension problem, in the spirit of the recent work ...
• #### A mean field equation on a torus: one-dimensional symmetry of solutions ﻿

(2003)
Article
Open Access
We study the equation $$-\Delta u=\lambda\left(\frac{e^u}{\int_\oep e^u}- \frac{1}{|\oep|}\right)\quad \text{in }\oep$$ for $u\in E$, where $E = \{ u \in H^1(\oep): u \hbox{ is doubly periodic}, \int_{\oep} u = 0 \}$ and ...
• #### A Note on the Dynamics of Piecewise-Autonomous Bistable Parabolic Equations ﻿

(2000)
Article
Open Access
• #### A numerical method for computing unstable quasi-periodic solutions for the 2-D Poiseuille flow ﻿

(1999)
Article
Open Access
• #### A result on class-C1 linearization of contractions in infinite dimensions ﻿

(2002)
Article
Open Access
• #### An implicit finite-element model for 3D non-hydrostatic mesoscale ocean flows ﻿

(2004)
Article
Open Access
We present in this paper a pressure stabilized, finite element method for the numerical approximation of three-dimensional, non-hydrostatic mesoscale ocean flows. The model considered here incorporates surface wind ...
• #### An interactive mesh generation environment for geometry-based simulations. Progress updated ﻿

(2009-02-16T12:15:10Z)
Conference report
Open Access
We presented an overview of an interactive mesh generation environment in our previous work that it is being developed in the Laboratori de Càlcul Numèric (LaCàN). We started the development of the software in order to ...
• #### Analysis of a viscoelastic spring-mass model ﻿

(2003)
Article
Open Access
In this paper we consider a linear wave equation with strong damping and dynamical boundary conditions as an alternative model for the classical spring-mass-damper ODE. Our purpose is to compare analytically these two ...
• #### Analytical solution of the electromagnetic field of a current carrying conductor in multi-layer media ﻿

(Universitat Politècnica de Catalunya, 2018-05)
Bachelor thesis
Open Access
Se trata de hallar el campo magnético producido por un hilo infinitesimal de corriente cuando hay placas, paralelas entre ellas, de distintos materiales. Para ello con las ecuaciones de Maxwell se obtiene una EDP que se ...
• #### Automatically imposing incremental boundary displacements for valid mesh morphing and curving ﻿

(2019-07)
Article
Open Access
We present a new incremental mesh morphing method obtained by proposing and discretizing a solution procedure for the continuous morphing problem. Our method seeks a diffeomorphism that transforms an initial domain to a ...
• #### Biquadratic functions: stationary and invertibility in estimated time-series models ﻿

(Universitat Politècnica de Catalunya. Centre de Càlcul, 1989)
Article
Open Access
It is important that the estimates of the parameters of an autoregressive moving-average (ARMA) model should satisfy the conditions of stationarity and invertibility. It can be shown that the unconditional maximum-likelihood ...
• #### Black-Scholes differential equation and its development ﻿

(Universitat Politècnica de Catalunya, 2015-07)
Bachelor thesis
Restricted access - author's decision
L'equació de Black-Scholes és una equació en derivades parcials (EDP) de tipus difusió. Aquest model introdueix que els increments de l'actiu subjacent segueixen un moviment Brownià. És un mètode eficient per calcular el ...
• #### Boundary regularity for the fractional heat equation ﻿

(Universitat Politècnica de Catalunya, 2014-09)
Bachelor thesis
Open Access
In this dissertation we present an introduction to nonlocal operators, and in particular, we study the fractional heat equation, which involves the fractional Laplacian of order 2s. In the first chapters we make a review ...
• #### Bounded solutions of some nonlinear elliptic equations in cylindrical domains ﻿

(1997)
Article
Open Access
The existence of a (unique) solution of the second order semilinear elliptic equation $$\sum^{n}_{i,j=0}a_{ij}(x)u_{x_{i}x_{j}}+f(\nabla u,u,x)=0$$ with $x=(x_{0},x_{1},\dots, x_{n})\in (s_{0},\infty )\times \Omega '$, ...
• #### Canonical Homotopy Operators for @ in the Ball with Respect to the Bergman Metric ﻿

(1995)
Article
Open Access
We notice that some well-known homotopy operators due to Skoda et. al. for the $\bar\partial$-complex in the ball actually give the boundary values of the canonical homotopy operators with respect to certain weighted Bergman ...
• #### Comportament assimptòtic en les equacions de la cromatografia ﻿

(Universitat Politècnica de Catalunya, 2014-07)
Bachelor thesis
Restricted access - author's decision
En aquest treball es presenten i s'estudien les equacions que modelitzen la cromatografia, un procés industrial que consisteix en la separació d'una mescla en les seves components. Partint d'un model matemàtic donat que ...