Results 51 to 60 of about 138,114 (286)

Finite-Element Discretization of Static Hamilton-Jacobi Equations Based on a Local Variational Principle

, 2004
We propose a linear finite-element discretization of Dirichlet problems for static Hamilton-Jacobi equations on unstructured triangulations. The discretization is based on simplified localized Dirichlet problems that are solved by a local variational ...
Christian Rasch, E. Rouy, Folkmar Bornemann, H. Ishii, H.W. Alt, J.A. Sethian, J.A. Sethian, J.A. Sethian, J.N. Tsitsiklis, L.C. Evans, M. Bardi, M.G. Crandall, P.-L. Lions, R. Kimmel, R.T. Rockafellar, S. Osher, S. Osher, T.J. Barth, X-G. Li   +18 more
core   +2 more sources

Numerical Analysis of Fourier Finite Volume Element Method for Dirichlet Boundary Optimal Control Problems Governed by Elliptic PDEs on Complex Connected Domains

Mathematics, 2022
In this research, we investigate an optimal control problem governed by elliptic PDEs with Dirichlet boundary conditions on complex connected domains, which can be utilized to model the cooling process of concrete dam pouring.
Mengya Su, Liuqing Xie, Zhiyue Zhang
doaj   +1 more source

External optimal control of fractional parabolic PDEs

, 2019
In this paper we introduce a new notion of optimal control, or source identification in inverse, problems with fractional parabolic PDEs as constraints. This new notion allows a source/control placement outside the domain where the PDE is fulfilled.
Antil, Harbir, Verma, Deepanshu, Warma, Mahamadi   +2 more
core   +1 more source

A Semilinear Dirichlet Problem

Canadian Journal of Mathematics, 1979
Introduction and notations. Let Ω be a bounded region in Rn. In this note we discuss the existence of weak solutions (see [4, Section 2]) of the Dirichlet problem(I)where Δ is the Laplacian operator, g : Ω × R → R and f : Ω × Rn+1 → R are functions satisfying the Caratheodory condition (see [2, Section 3]), and ∇ is the gradient operator.We let λ1 <
openaire   +2 more sources

Three topological problems about integral functionals on Sobolev spaces

, 2004
In this paper, I propose some problems, of topological nature, on the energy functional associated to the Dirichlet problem -\Delta u = f(x,u) in Omega, u restricted to the boundary of Omega is 0.
Ricceri, Biagio
core   +2 more sources

Context‐centric proactive information delivery for Knowledge Work support: Opportunities, challenges, and directions. An Annual Review of Information Science and Technology (ARIST)

Journal of the Association for Information Science and Technology, EarlyView.
Abstract Context‐centric proactive information delivery (PID) is a relatively underexplored domain within recommender systems (RS) aimed at enhancing Knowledge Workers' productivity by proactively providing relevant information during digital tasks.
Mahta Bakhshizadeh, Christian Jilek, Markus Schröder, Heiko Maus, Andreas Dengel   +4 more
wiley   +1 more source

On the consistency of MPS

, 2013
The consistency of Moving Particle Semi-implicit (MPS) method in reproducing the gradient, divergence and Laplacian differential operators is discussed in the present paper.
Cercos-Pita, Jose L., González, Leo M., Macià, Fabricio, Souto-Iglesias, Antonio   +3 more
core   +1 more source

Delineating gender/sex‐related studies through bibliometric analysis

Journal of the Association for Information Science and Technology, EarlyView.
Abstract The multidisciplinary and socially grounded nature of Women's/Gender/Feminist Studies poses unique challenges for bibliometric analysis, as it extends beyond conventional disciplinary boundaries. This paper makes three key contributions: (1) We propose a novel retrieval method for constructing a corpus of scholarly documents in research areas ...
Natsumi S. Shokida, Diego Kozlowski, Vincent Larivière   +2 more
wiley   +1 more source

The Dirichlet problem [PDF]

Časopis pro pěstování matematiky, 1958
Let S + be a connected region, bounded by simple smooth non- intersecting contours Lo, L1 …, LP the first of which contains all the others. By L will be understood the union of these contours; as usual, the positive direction on L will be taken such that S + remains on the left. The contour Lo may be absent in which case S+ is infinite.
openaire   +2 more sources

Ground state sign-changing solutions for semilinear Dirichlet problems

Boundary Value Problems, 2018
In the present paper, we consider the existence of ground state sign-changing solutions for the semilinear Dirichlet problem 0.1 {−△u+λu=f(x,u),x∈Ω;u=0,x∈∂Ω, $$ \left \{ \textstyle\begin{array}{l@{\quad}l} -\triangle u+\lambda u=f(x, u), & \hbox{$x\in ...
Xiaoyan Lin, Xianhua Tang
doaj   +1 more source