Results 41 to 50 of about 544,469 (212)

A Priori Error Estimates for Approximation of Parabolic Boundary Value Problems [PDF]

open access: yesSIAM Journal on Numerical Analysis, 1975
The L2-error estimates are established for the continuous time Faedo-Galerkin approximation to solutions of a linear parabolic initial boundary value problem that has elliptic part of order 2m. Properties of analytic semigroups are used to obtain these estimates directly from the LZ-estimates for the corresponding steady state elliptic problem under ...
openaire   +2 more sources

Two-grid virtual element discretization of quasilinear elliptic problem

open access: yesMathematical Modelling and Analysis
In this paper a two grid algorithm for quasilinear elliptic problem based on virtual element method (VEM) discretization is proposed. With this new algorithm the solution of a quasilinear elliptic problem on a fine grid is reduced to the solution of a ...
Fengxin Chen, Minghui Yang, Zhaojie Zhou
doaj   +1 more source

The hp-BEM with quasi-uniform meshes for the electric field integral equation on polyhedral surfaces: a priori error analysis

open access: yes, 2009
This paper presents an a priori error analysis of the hp-version of the boundary element method for the electric field integral equation on a piecewise plane (open or closed) Lipschitz surface. We use H(div)-conforming discretisations with Raviart-Thomas
Bespalov, Alexei, Heuer, Norbert
core   +1 more source

Space-Time Isogeometric Analysis of Parabolic Evolution Equations [PDF]

open access: yes, 2015
We present and analyze a new stable space-time Isogeometric Analysis (IgA) method for the numerical solution of parabolic evolution equations in fixed and moving spatial computational domains.
Langer, Ulrich   +2 more
core   +1 more source

An expanded mixed covolume element method for integro-differential equation of Sobolev type on triangular grids

open access: yesAdvances in Difference Equations, 2017
The expanded mixed covolume Element (EMCVE) method is studied for the two-dimensional integro-differential equation of Sobolev type. We use a piecewise constant function space and the lowest order Raviart-Thomas ( RT 0 $\mathit{RT}_{0}$ ) space as the ...
Zhichao Fang   +3 more
doaj   +1 more source

Galerkin least squares finite element method for the obstacle problem [PDF]

open access: yes, 2016
We construct a consistent multiplier free method for the finite element solution of the obstacle problem. The method is based on an augmented Lagrangian formulation in which we eliminate the multiplier by use of its definition in a discrete setting.
Burman, E   +3 more
core   +2 more sources

Verification of the ROSFOND/ABBN nuclear data based on the OECD/NEA benchmark on criticality safety of mox-fueled systems [PDF]

open access: yesNuclear Energy and Technology, 2019
The paper presents the results of a computational analysis of the OECD/NEA benchmark conducted to estimate the accuracy of the critical safety parameters of multiplying MOX-fueled systems.
Olga N. Andrianova   +2 more
doaj   +3 more sources

Identification of source term for the ill-posed Rayleigh–Stokes problem by Tikhonov regularization method

open access: yesAdvances in Difference Equations, 2019
In this paper, we study an inverse source problem for the Rayleigh–Stokes problem for a generalized second-grade fluid with a fractional derivative model. The problem is severely ill-posed in the sense of Hadamard. To regularize the unstable solution, we
Tran Thanh Binh   +4 more
doaj   +1 more source

Smoothing radio occultation bending angles above 40 km [PDF]

open access: yesAnnales Geophysicae, 2001
The 'statistically optimal' approach to smoothing bending angles derived from radio occultation (RO) measurements is outlined. This combines a measured bending angle profile with an a priori or background estimate derived from climatology, in order ...
S. B. Healy
doaj   +1 more source

Towards Automatic Global Error Control: Computable Weak Error Expansion for the Tau-Leap Method

open access: yes, 2010
This work develops novel error expansions with computable leading order terms for the global weak error in the tau-leap discretization of pure jump processes arising in kinetic Monte Carlo models. Accurate computable a posteriori error approximations are
Karlsson, Jesper, Tempone, Raul
core   +1 more source

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