Results 51 to 60 of about 781 (97)

Boundary element method for Laplace equation in a ring domain

Partial Differential Equations in Applied Mathematics
In this paper, we present a rapid procedure for approximating the solution to the Laplace equation in a ring domain. We develop a new formulation of boundary integral operators and implement an efficient solution approach using the Galerkin boundary ...
Laurent Tchoualag, Lionel Ouya Ndjansi, Jean Daniel Mukam, Antoine Tambue   +3 more
doaj   +1 more source

Numerical solutions for optimal control problem governed by elliptic system on Lipschitz domains

Journal of Taibah University for Science, 2019
In this paper, an optimal boundary control problem for a distributed elliptic system on Lipschitz domains with boundary homogeneous Dirichlet conditions and independently with Neumann conditions is analysed.
G. M. Bahaa, S. Khidr
doaj   +1 more source

Dirichlet problems on varying domains

Journal of Differential Equations, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Uniqueness of critical points for semi-linear Dirichlet problems in convex domains

Electronic Journal of Differential Equations, 2005
We establish sufficient conditions for the existence of a unique critical point for the solution to the semi linear elliptic problem $ Delta u = f(u)+w $ with zero Dirichlet boundary condition.
Jaime Arango
doaj  

Bernstein approximations of Dirichlet problems for elliptic operators on the plane

Electronic Journal of Differential Equations, 2007
We study the finitely dimensional approximations of the elliptic problem $$displaylines{ (Lu)(x,y) + varphi(lambda,(x,y),u(x,y) ) = 0 quad hbox{for } (x,y)inOmegacr u(x,y) = 0 quad hbox{for } (x,y)inpartialOmega, }$$ defined for a smooth bounded ...
Jacek Gulgowski
doaj  

DIRICHLET PROBLEM WITH STOCHASTIC COEFFICIENTS

Stochastics and Dynamics, 2005
We consider general second-order linear elliptic partial differential equations having random coefficients and random data and fulfilling the homogeneous Dirichlet condition. We prove the existence and uniqueness of the weak solution in a certain tensor product space which is suitably completed to make it a Hilbert space. The factors of this space are
openaire   +2 more sources

On the boundary integral equation method of solving boundary value problems for the two dimensional Laplace equation

Математичні Студії
We consider approach based on the integral representation of solutions in domain which consists of bounded and unbounded parts that gives us opportunity to reduce different transmission type problems to connected with them equivalent boundary equations ...
Yu. M. Sybil
doaj   +1 more source

Dirichlet problems in perforated domains

Communications in Partial Differential Equations
Comment: 37 ...
Righi, Robert, Shen, Zhongwei
openaire   +2 more sources

Numerical Reconstruction of the Source in Dynamical Boundary Condition of Laplace’s Equation

Axioms
In this work, we consider Cauchy-type problems for Laplace’s equation with a dynamical boundary condition on a part of the domain boundary. We construct a discrete-in-time, meshless method for solving two inverse problems for recovering the space–time ...
Miglena N. Koleva, Lubin G. Vulkov
doaj   +1 more source

Transformations of Difference Equations II

Advances in Difference Equations, 2010
This is an extension of the work done by Currie and Love (2010) where we studied the effect of applying two Crum-type transformations to a weighted second-order difference equation with non-eigenparameter-dependent boundary conditions at the end points.
Currie Sonja, Love AnneD
doaj