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Application for Superconvergence of Finite Element Approximations for the Elliptic Problem by Global and Local L2-Projection Methods
Finite Element Methods Superconvergence L2-Projection Elliptic Problem
2013/1/30
Numerical experiments are given to verify the theoretical results for superconvergence of the elliptic problem by global and local L2-Projection methods.
Convergence OF The Heterogeneous Multiscale Finite Element Method For Elliptic Problem With Nonsmooth Microstructures
Finite Element Method Nonsmooth Microstructures
2012/8/10
We propose a condition under which the heterogeneous multiscale 痭ite element
method converges for elliptic problem with nonsmooth coe眂ients, and obtain the optimal
convergence rate for elliptic prob...
A nonlinear elliptic problem with terms concentrating in the boundary
Semilinear elliptic equations nonlinear boundary conditions singular elliptic equations upper semicontinuity concentrating terms
2012/4/17
In this paper we investigate the behavior of a family of steady state solutions of a nonlinear reaction diffusion equation when some reaction and potential terms are concentrated in a $\epsilon$-neigh...
An elliptic problem with two singularities
elliptic problem two singularities Analysis of PDEs
2011/8/26
Abstract: We study a Dirichlet problem for an elliptic equation defined by a degenerate coercive operator and a singular right-hand side. We will show that the right-hand side has some regularizing ef...
A nonlinear degenerate elliptic problem with W^{1,1}_0 solutions
nonlinear degenerate elliptic problem Analysis of PDEs
2011/8/26
Abstract: We study a nonlinear equation with an elliptic operator having degenerate coercivity. We prove the existence of a unique W^{1,1}_0 distributional solution under suitable summability assumpti...
Positive solutions for singularly perturbed nonlinear elliptic problem on manifolds via Morse theory
singular perturbation nondegenerate critical points Morse theory
2011/2/28
Given (M, g0) we consider the problem −"2g0+hu + u = (u+)p−1 with (", h) ∈ (0, ¯") × B. Here B is a ball centered at 0 with radius in the Banach space of all Ck symmetric covaria...
On the number of nodal solutions for a nonlinear elliptic problem on symmetric Riemannian manifolds
RiemannianManifolds Nodal Solutions Topological Meth-ods
2011/2/28
We consider the problem −"2gu+u = |u|p−2u in M, where (M, g) is a symmetric Riemannian manifold. We give a multiplicity result for antisymmetric changing sign solutions.
Positive solutions of singularly perturbed nonlinear elliptic problem on Riemannian manifolds with boundary
Positive solutions of singularly perturbed nonlinear elliptic Riemannian manifolds boundary
2011/2/28
Let (M, g) be a smooth connected compact Riemannian manifold of finite dimension n ≥ 2 with a smooth boundary @M. We consider the problem −"2gu + u = |u|p−2u, u > 0 on M, @u @= 0 on @M w...
On the Existence of the Fundamental Eigenvalue of an Elliptic Problem in R^N
nonlinear eigenvalue problem nonlinear Schr¨odinger equation orbital stability
2011/2/28
We study an eigenvalue problem for functions in RN and we find sufficient conditions for the existence of the fundamental eigenvalue. This result can be applied to the study of the orbital stability o...
Properties of the extremal solution for a fourth-order elliptic problem
Properties extremal solution fourth-order elliptic problem
2010/12/6
Let ∗ > 0 denote the largest possible value of such that 2u = λ (1−u)p in B,0 < u ≤ 1 in B,u = ∂u ∂n = 0 on @B.has a solution, where B is the unit ball in Rn centered at th...
Boundary Homogenization for a Quasi-Linear Elliptic Problem with Dirichlet Boundary Conditions Posed on Small Inclusions Distributed on the Boundary
Boundary Homogenization Dirichlet Boundary Conditions Quasi-Linear Elliptic Problem
2009/1/22
We describe the asymptotic behaviour of the solution of a quasi-linear elliptic problem posed in a domain of $\R^n$, $n\geq 3$ and with homogeneous Dirichlet boundary conditions imposed on small zones...
A SINGULAR p-LAPLACIAN ELLIPTIC PROBLEM WITH p-GROWTH IN THE GRADIENT
p-Laplace singularity p-growth existence asymptotic behavior
2008/11/26
In the paper we consider the homogenous Dirichlet boundary value problem for a
singular p-Laplacian elliptic equation with p-growth in the gradient. The existence
and asymptotic behavior of solution...
Multiple Solutions for a Fourth Order Asymptotically Linear Elliptic Problem
Fourth-order elliptic boundary value problem Mountain Pass theorem Morse theory
2007/12/12
Under simple conditions, we prove the existence of three solutions for a fourth-order asymptotically linear elliptic boundary value problem. For the resonance case at infinity, we do not need to assum...
CHEBYSHEV WEIGHTED NORM LEAST-SQUARES SPECTRAL METHODS FOR THE ELLIPTIC PROBLEM
Least-squares methods Spectral method Negative norm
2007/12/12
We develop and analyze a first-order system least-squares spectral
method for the second-order elliptic boundary value problem with
variable coefficients. We first analyze the Chebyshev weighted nor...
This paper is devoted to study of an iterative procedure for domain
decomposition method of second order elliptic problem with mixed
boundary conditions (i.e., Dirichlet condition on a part of bound...