Results 71 to 80 of about 99,299 (234)

Existence of solutions for quasilinear elliptic equations involving a nonlocal term

open access: yesElectronic Journal of Differential Equations, 2015
This article establishes the existence of solutions for a partial differential equation involving a quasilinear elliptic operator and a nonlocal term.
Maria Farcaseanu, Denisa Stancu-Dumitru
doaj  

A dynamical process of several variables

open access: yesУчёные записки Казанского университета: Серия Физико-математические науки, 2018
In the space of ϕ-distributions with values belonging to a Banach space, the process described by the problem of partial differential equation has been considered. Conditions under which the process is dynamic have been given.
V.S. Mokeichev, A.M. Sidorov
doaj  

Nonlinear nonhomogeneous Robin problems with dependence on the gradient

open access: yesBoundary Value Problems, 2018
We consider a nonlinear elliptic equation driven by a nonhomogeneous partial differential operator with Robin boundary condition and a convection term.
Yunru Bai   +2 more
doaj   +1 more source

Evaluation of numerical methods for elliptic partial differential equations

open access: yesJournal of Computational Physics, 1978
Abstract We systematically evaluate four methods for solving two-dimensional, linear elliptic partial differential equations on general domains. The four methods are: standard finite differences; collocation, Galerkin, and least squares using Hermite cubic piecewise polynomials.
Houstis, Elias N.   +3 more
openaire   +5 more sources

Numerical computation of transonic flow governed by the full-potential equation [PDF]

open access: yes
Numerical solution techniques for solving transonic flow fields governed by the full potential equation are discussed. In a general sense relaxation schemes suitable for the numerical solution of elliptic partial differential equations are presented and ...
Holst, T. L.
core   +1 more source

On class of elliptic partial differential equations in four variables [PDF]

open access: yesPacific Journal of Mathematics, 1964
where A(r), C(r) are analytic functions of the real variable r = x^Xμ. [μ = 1, 2, 3] (Repeated indices mean the summation convention is used.) In this paper we shall investigate the four variable analogue of this equation, TA[W] = 0, and show that many of Bergman's results carry over to this case. Here, we need in many instances, the methods of several
openaire   +4 more sources

Existence of solutions to nonhomogeneous Dirichlet problems with dependence on the gradient

open access: yesElectronic Journal of Differential Equations, 2018
The goal of this article is to explore the existence of positive solutions for a nonlinear elliptic equation driven by a nonhomogeneous partial differential operator with Dirichlet boundary condition.
Yunru Bai
doaj  

Convergence analysis of a dual-wind discontinuous Galerkin method for an elliptic optimal control problem with control constraints

open access: yesResults in Applied Mathematics
This paper investigates a symmetric dual-wind discontinuous Galerkin (DWDG) method for solving an elliptic optimal control problem with control constraints. The governing constraint is an elliptic partial differential equation (PDE), which is discretized
Satyajith Bommana Boyana   +3 more
doaj   +1 more source

The complexity of numerical methods for elliptic partial differential equations

open access: yesJournal of Computational and Applied Mathematics, 1978
AbstractWe consider three Ritz-Galerkin procedures with Hermite bicubic, bicubic spline and linear triangular elements for approximating the solution of self-adjoint elliptic partial differential equations and a collocation with Hermite bicubics method for general linear elliptic equations defined on general two dimensional domains with mixed boundary ...
openaire   +3 more sources

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