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pro vyhledávání: '"Gia, Q. T. Le"'
Due to the divergence-instability, the accuracy of low-order conforming finite element methods (FEMs) for nearly incompressible elasticity equations deteriorates as the Lam\'e parameter $\lambda\to\infty$, or equivalently as the Poisson ratio $\nu\to
Externí odkaz:
http://arxiv.org/abs/2407.06831
We explore a linear inhomogeneous elasticity equation with random Lam\'e parameters. The latter are parameterized by a countably infinite number of terms in separated expansions. The main aim of this work is to estimate expected values (considered as
Externí odkaz:
http://arxiv.org/abs/2310.06187
Autor:
Gia, Q. T. Le, Mhaskar, H. N.
In this work, we construct numerical solutions to an inverse problem of a nonlinear Helmholtz equation defined in a spherical shell between two concentric spheres centered at the origin.Assuming that the values of the forward problem are known at suf
Externí odkaz:
http://arxiv.org/abs/2302.01475
This paper develops a two-stage stochastic model to investigate evolution of random fields on the unit sphere $\bS^2$ in $\R^3$. The model is defined by a time-fractional stochastic diffusion equation on $\bS^2$ governed by a diffusion operator with
Externí odkaz:
http://arxiv.org/abs/2212.05690
We introduce a new mathematical tool (a direction-dependent probe) to analyse the randomness of purported isotropic Gaussian random fields on the sphere. We apply the probe to assess the full-sky cosmic microwave background (CMB) temperature maps pro
Externí odkaz:
http://arxiv.org/abs/1911.11442
Autor:
Gia, Q. T. Le, McLean, William
Publikováno v:
Adv. Comput. Math. 40:353-375, 2014
We propose a method to construct numerical solutions of parabolic equations on the unit sphere. The time discretization uses Laplace transforms and quadrature. The spatial approximation of the solution employs radial basis functions restricted to the
Externí odkaz:
http://arxiv.org/abs/1207.4845
This paper proposes a new preconditioning scheme for a linear system with a saddle-point structure arising from a hybrid approximation scheme on the sphere, an approximation scheme that combines (local) spherical radial basis functions and (global) s
Externí odkaz:
http://arxiv.org/abs/1009.4275
In this work, we describe, analyze, and implement a pseudospectral quadrature method for a global computer modeling of the incompressible surface Navier-Stokes equations on the rotating unit sphere. Our spectrally accurate numerical error analysis is
Externí odkaz:
http://arxiv.org/abs/1009.3308
Autor:
Gia, Q. T. Le, Mhaskar, H. N.
The purpose of this paper is to construct universal, auto--adaptive, localized, linear, polynomial (-valued) operators based on scattered data on the (hyper--)sphere $\SS^q$ ($q\ge 2$). The approximation and localization properties of our operators a
Externí odkaz:
http://arxiv.org/abs/0811.1374
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