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Browsing by Subject "Partial differential equations"
Now showing items 41-60 of 70
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Management, design and developement of a mesh generation environment using open source software
(2009-06-08T08:15:56Z)
Conference report
Open AccessIn this paper we present an object oriented implementation of a general-purpose mesh generation environment for geometry-based simulations. The aim of this application is to unify available legacy code and new research ... -
Measured equation of invariance: a new concept in field computations
(1994-10)
Article
Open AccessNumerical computations of frequency domain field problems or elliptical partial differential equations may be based on differential equations or integral equations. The new concept of field computation presented in this ... -
Modelització matemàtica i computacional de l'homeòstasi dinàmica de organoides de l'intestí prim
(Universitat Politècnica de Catalunya, 2022-07)
Master thesis
Open AccessHomeostasis is a process by which biological systems maintain stability in an evolving environment. However, homeostasis is far from being a static state. In rapidly self-renewing tissues such as the small intestine ... -
Numerical simulation of the dispersion of contaminants by a characteristic-based method with applications to the Ebro delta and the Huelva estuary
(2004)
Article
Open AccessIn this paper we consider an explicit, characteristic-based method for the numerical simulation of the dispersion of contaminants in a fluid medium. A quasi-3D formulation is employed for the spatial approximation. Two ... -
On a long-standing conjecture of E. De Giorgi: old and recent results
(2000)
Article
Open Access -
On L^p-solutions to the Laplace equation and zeros of holomorphic functions
(1996)
Article
Open AccessThe problem we solve in this paper is to characterize, in a smooth domain $\Omega$ in $\Bbb R^n$ and for $1\le p\le\infty$, those positive Borel measures on $\Omega$ for which there exists a subharmonic function ... -
On maps with given jacobians involving the heat equation
(2000)
Article
Open AccessIn this paper we presennt and analyze two new algorithms to construct a smooth diffeomorphism of a domain with prescribed jacobian function. The first one is free from any restriction on the boundary, while the second ... -
On the number and Indices of equilibria in a space-dependent bistable equation
(1999)
Article
Open AccessWe study a singular perturbation problem of a piecewise autonomous bistable equation. We give sufficient conditions both for the boundedness and the unboundedness of the number and Morse index of its equilibrium solutions ... -
On the Schrödinger’s equation
(Universitat Politècnica de Catalunya, 2015-07)
Bachelor thesis
Open AccessIn this article we derive the solution to the Schrödinger's equation in one dimension for a simple example, also the solution to the eigenvalue problem in a three dimensional ball, and then apply the results to deduce the ... -
On the stability of radial solutions of semilinear elliptic equations in all of R<sup>n</sup>
(2003)
Article
Open AccessWe establish that every nonconstant bounded radial solution u of −?u = f (u) in all of Rn is unstable if n ? 10. The result applies to every C1 nonlinearity f satisfying a generic nondegeneracy condition. In particular, ... -
PDEs with fractional diffusion
(Universitat Politècnica de Catalunya, 2015-07)
Bachelor thesis
Open AccessIn recent years, there has been a surge of activity focused on the use of so-called fractional diffusion operators to replace the standard Laplace operator, with the aim of further extending the theory by taking into account ... -
Periodic solutions to PDEs with fractional diffusion
(Universitat Politècnica de Catalunya, 2016-01)
Bachelor thesis
Open AccessThe aim of this Bachelor's Thesis is the study of periodic solutions to nonlinear equations involving the fractional Laplace operator. Our starting point is the Benjamin-Ono equation in water waves, a completely integrable ... -
Regularity of radial minimizers and extremal solutions of semilinear elliptic equations
(2005)
Article
Open AccessWe consider a special class of radial solutions of semilinear equations −?u = g(u) in the unit ball of Rn. It is the class of semi-stable solutions, which includes local minimizers, minimal solutions, and extremal ... -
Resurgence in a Hamilton-Jacobi equation
(2002)
Article
Open AccessWe study the resurgent structure associated with a Hamilton-Jacobi equation. This equation is obtained as the inner equation when studying the separatrix splitting problem for a perturbed pendulum via complex matching. ... -
Saiph, a domain specific language for computational fluid dynamics simulations
(Barcelona Supercomputing Center, 2017-05-04)
Open AccessNowadays, High-Performance Computing (HPC) is assuming an increasingly central role in scientific research while computer architectures are becoming more and more hetero-geneous and using different parallel programming ... -
Shock capturing for discontinuous Galerkin methods
(2009-04-23T10:42:49Z)
Conference report
Open AccessThis work is devoted to solve scalar hyperbolic conservation laws in the presence of strong shocks with discontinuous Galerkin methods (DGM). A standard approach is to use limiting strategies in order to avoid oscillations ... -
Shock-capturing with discontinuous garlekin methods
(2009-06-08T08:32:41Z)
Conference report
Open AccessA shock capturing strategy for high order Discontinuous Galerkin methods for conservation laws is proposed. We present a method in the one-dimensional case based on the introduction of artificial viscosity into the ... -
Simple assessment of the numerical wave number in the fe solution of the helmholtz equation
(2009-06-08T11:13:41Z)
Conference report
Open AccessWhen numerical methods are applied to the computation of stationary waves, it is observed that "numerical waves" are dispersive for high wave numbers. The numerical wave shows a phase velocity which depends on the wave ... -
Smooth linearization for a saddle on Banach spaces
(2003)
Article
Open AccessAs a continuation of a previous work on linearization of class C1 of diffeomorphisms and flows in infinite dimensions near a fixed point, in this work we deal with the case of a saddle point with some non-resonance restrictions ... -
Solmec: an efficient c++ library to solve linear and nonlinear elasticity problems
(2009-06-02T09:11:26Z)
Conference report
Open AccessA C++ library based on local maximum-entropy approximation schemes to solve linear and nonlinear elasticity problem is presented. The available tools are briefly described, and several implementation details are also ...
