Browsing by Subject "Differential equations, Partial"
Now showing items 1-20 of 100
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A boundary control technique to the string-tip-mass system based on a non-symmetric peak-detector model
(2017)
Conference report
Restricted access - publisher's policyThis paper presents a vibration control design to the string-tip-mass system by using a non-symmetric peakdetector mechanism. Previously, this peak-detector system was used as an easy algorithm to mitigate vibration on ... -
A comparison of refinement indicators for h-adaptive discontinuous Galerkin methods for the Euler and Navier-Stokes equations
(Universitat Politècnica de Catalunya, 2018-09-17)
Master thesis
Restricted access - confidentiality agreement -
A discontinuous galerkin formulation for solid dynamics
(Omnipress, 2006)
Lecture
Open Access -
Adjoint-based PDE-constrained optimization using HPC techniques
(Universitat Politècnica de Catalunya, 2013-10-02)
Master thesis
Open AccessThis work focuses in the utilization of current HPC technologies to explore mathematical optimization algorithms in which a PDE acts as main constraint. A development framework is proposed, together with a novel application ... -
A finite point method for three-dimensional compressible flow
(2007-09)
External research report
Open Access -
A generalization of the Allen–Cahn equation
(2015-04-01)
Article
Open AccessOur 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 gradient estimate for nonlocal minimal graphs
(2019-04-01)
Article
Restricted access - publisher's policyWe consider the class of measurable functions defined in all of Rn that give rise to a nonlocal minimal graph over a ball of Rn. We establish that the gradient of any such function is bounded in the interior of the ball ... -
A hybridizable discontinuous Galerkin phase-field model for brittle fracture
(2019-05-01)
Article
Open AccessPhase-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 AccessThe 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 ... -
Analysis for the strain gradient theory of porous thermoelasticity
(2019-01-01)
Article
Restricted access - publisher's policyIn this paper, we analyse a model involving a strain gradient thermoelastic rod with voids. Existence and uniqueness, as well as an energy decay property, are proved by means of the semigroup arguments. The variational ... -
Analytical solution of the electromagnetic field of a current carrying conductor in multi-layer media
(Universitat Politècnica de Catalunya, 2018-05)
Bachelor thesis
Open AccessSe 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 ... -
Analyticity in porous-thermoelasticity with microtemperatures
(2012-10-15)
Article
Restricted access - publisher's policyIn this note we study the analyticity of the solutions to the one-dimensional porouselasticity problem with temperatures and microtemperatures when viscoelasticity and porous viscosity effects are also present. We show ... -
A Note on the Dynamics of Piecewise-Autonomous Bistable Parabolic Equations
(2000)
Article
Open Access -
Antisymmetry of solutions for some weighted elliptic problems
(2018-03-17)
Article
Open AccessThis article concerns the antisymmetry, uniqueness, and monotonicity properties of solutions to some elliptic functionals involving weights and a double well potential. In the one-dimensional case, we introduce the continuous ... -
A Parameterized multi-step Newton method for solving systems of nonlinear equations
(2016-03-01)
Article
Open AccessWe construct a novel multi-step iterative method for solving systems of nonlinear equations by introducing a parameter. to generalize the multi-step Newton method while keeping its order of convergence and computational ... -
A PDE approach of inflammatory phase dynamics in diabetic wounds.
(2014)
Article
Open AccessThe objective of the present paper is the modeling and analysis of the dynamics of macrophages and certain growth factors in the in ammatory phase, the rst one of the wound healing process. It is the phase where there ... -
A Perturbation argument for a Monge–Ampère type equation arising in optimal transportation
(2014-05-01)
Article
Restricted access - publisher's policyWe prove some interior regularity results for potential functions of optimal transportation problems with power costs. The main point is that our problem is equivalent to a new optimal transportation problem whose cost ... -
Application of the Narrow Escape Problem to Ion Channels
(Universitat Politècnica de Catalunya, 2012-11)
Master thesis (pre-Bologna period)
Restricted access - author's decisionEn els darrers anys, un dels camps cient´ıfico-t`ecnics que m´es s’ha desenvolupat ´es el de la bioenginyeria. En particular, les matem`atiques aplicades a la biologia han proporcionat resultats destacables, mitjan¸cant ... -
A result on class-C1 linearization of contractions in infinite dimensions
(2002)
Article
Open Access -
Automatically imposing incremental boundary displacements for valid mesh morphing and curving
(2019-07)
Article
Open AccessWe 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 ...
