Browsing by Subject "Differential equations, Partial"
Now showing items 1-20 of 136
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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 consistent approximation of the total perimeter functional for topology optimization algorithms
(2022-02-24)
Article
Open AccessThis article revolves around the total perimeter functional, one particular version of the perimeter of a shape O contained in a fixed computational domain D measuring the total area of its boundary ¿O, as opposed to its ... -
A discontinuous galerkin formulation for solid dynamics
(Omnipress, 2006)
Lecture
Open Access -
A finite point method for three-dimensional compressible flow
(2007-09)
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
Open AccessWe 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 ... -
A Note on the Dynamics of Piecewise-Autonomous Bistable Parabolic Equations
(2000)
Article
Open Access -
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 ... -
A result on class-C1 linearization of contractions in infinite dimensions
(2002)
Article
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 ... -
An example on Lyapunov stability and linearization
(2020-01-01)
Article
Open AccessThe purpose of this paper is to present an example of a (in the Fréchet sense) discrete dynamical system in a infinite-dimensional separable Hilbert space for which the origin is an exponentially asymptotically stable ... -
An improved harmonic load flow formulation
(Taylor & Francis, 2019-10-21)
Article
Open AccessThe paper contributes an improved harmonic load flow formulation with fewer convergence problems but the same accurate results as traditional formulations. The proposed formulation approaches the harmonic load flow problem ... -
An overview of the Hamilton–Jacobi theory: the classical and geometrical approaches and some extensions and applications
(Multidisciplinary Digital Publishing Institute (MDPI), 2021-01-01)
Article
Open AccessThis work is devoted to review the modern geometric description of the Lagrangian and Hamiltonian formalisms of the Hamilton–Jacobi theory. The relation with the “classical” Hamiltonian approach using canonical transformations ... -
Analysis for the strain gradient theory of porous thermoelasticity
(2019-01-01)
Article
Open AccessIn 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 ...
