Zobrazeno 1 - 10
of 222
pro vyhledávání: '"NATARAJ, NEELA"'
This paper discusses lowest-order nonstandard finite element methods for space discretization and explicit and implicit schemes for time discretization of the biharmonic wave equation with clamped boundary conditions. A modified Ritz projection opera
Externí odkaz:
http://arxiv.org/abs/2407.03777
In this work, we consider an initial-boundary value problem for a time-fractional biharmonic equation in a bounded polygonal domain with a Lipschitz continuous boundary in $\mathbb{R}^2$ with clamped boundary conditions. After establishing the well-p
Externí odkaz:
http://arxiv.org/abs/2405.11339
An abstract property (H) is the key to a complete a priori error analysis in the (discrete) energy norm for several nonstandard finite element methods in the recent work [Lowest-order equivalent nonstandard finite element methods for biharmonic plate
Externí odkaz:
http://arxiv.org/abs/2310.05648
A general a posteriori error analysis applies to five lowest-order finite element methods for two fourth-order semi-linear problems with trilinear non-linearity and a general source. A quasi-optimal smoother extends the source term to the discrete tr
Externí odkaz:
http://arxiv.org/abs/2309.08427
A unified framework for fourth-order semilinear problems with trilinear nonlinearity and general source allows for quasi-best approximation with lowest-order finite element methods. This paper establishes the stability and a priori error control in t
Externí odkaz:
http://arxiv.org/abs/2305.06171
In the first part of this article, we study feedback stabilization of a parabolic coupled system by using localized interior controls. The system is feedback stabilizable with exponential decay $-\omega<0$ for any $\omega>0$. A stabilizing control is
Externí odkaz:
http://arxiv.org/abs/2303.11067
This paper focuses on the analysis of conforming virtual element methods for general second-order linear elliptic problems with rough source terms and applies it to a Poisson inverse source problem with rough measurements. For the forward problem, wh
Externí odkaz:
http://arxiv.org/abs/2302.08718
For a well-posed non-selfadjoint indefinite second-order linear elliptic PDE with general coefficients $\mathbf A, \mathbf b,\gamma$ in $L^\infty$ and symmetric and uniformly positive definite coefficient matrix $\mathbf A$, this paper proves that mi
Externí odkaz:
http://arxiv.org/abs/2203.02716
Publikováno v:
In Computers and Mathematics with Applications 1 July 2024 165:52-69
This article discusses numerical analysis of the distributed optimal control problem governed by the von K\'{a}rm\'{a}n equations defined on a polygonal domain in $\mathbb{R}^2$. The state and adjoint variables are discretised using the nonconforming
Externí odkaz:
http://arxiv.org/abs/2107.04804