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Abstract: The aim of this paper is to develop a multiscale hierarchical hybrid model based on finite element analysis and neural network computation to link mesoscopic scale (trabecular network level)...
Abstract: This letter aims at resolving the issues raised in the recent short communication [1] and answered by [2] by proposing a systematic approximation scheme based on non-mapped shape functions, ...
Since no super high CFRD with dam height more than 233m been ever built in the world, more problems of 270m high CFRD are still to be explored and solved. The 270m extra high Maji CFRD is to be constr...
As a competitive dam style and full of life-force, the concrete- faced rockfill dam (CFRD) is widely used in China in recent years. Experts in China pointed out that “Extra high CFRD generally means t...
As a very popular dam style, more concrete- faced rockfill dams have been built in the world, but there is presently only a few high CFRDs with dam height more than 100m built on thick alluvium deposi...
Mixed finite element methods solve a PDE using two or more variables. The theory of Discrete Exterior Calculus explains why the degrees of freedom associated to the different variables should be store...
An interface stabilised finite element method for the incompressible Navier-Stokes equations is presented. The method inherits the attractive stabilising mechanism of upwinded discon-tinuous Galerkin...
A nite element approximation of the Stokes equations under a certain nonlinear boundary condition, namely, the slip or leak boundary con-dition of friction type, is considered. We propose an approxim...
A posteriori estimates for mixed finite element discretizations of the Navier-Stokes equations are derived. We show that the task of estimating the error in the evolutionary Navier-Stokes equations ca...
Extreme ultraviolet (EUV) lithography is seen as a main candidate for production of future generation computer technology. Due to the short wavelength of EUV light (around 13 nm) novel reflective mas...
We continue our study on variable order Arnold-Falk-Winther elements for 2D elasticity in context of both affine and parametric curvilinear elements. We present an $h$-stability result for affine ele...
A two-grid scheme based on mixed finite-element approximations to the incompressible Navier-Stokes equations is introduced and analyzed. In the first level the standard mixed finite-element approxima...
We consider the design of an effective and reliable adaptive finite element method (AFEM) for the nonlinear Poisson-Boltzmann equation (PBE).We first examine the two-term regularization technique for ...
We perform the a posteriori error analysis of residual type of a transmission problem with sign changing coefficients. According to [6] if the contrast is large enough, the continuous problem can be t...
A finite element formulation for confined aquifer flow, which takes into account elevation changes of the aquifer is presented. The middle surface of the aquifer is assumed not as a horizontal plane...

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