Crank‐Nicolson‐Galerkin finite element scheme for nonlocal coupled parabolic problem using the Newton's method
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.4641
Abstract: In this article, a finite element scheme based on the Newton's method is proposed to approximate the solution of a nonlocal coupled system of parabolic problem. The Crank-Nicolson method is used for time discretization. Well-posedness… read more here.
Keywords: element scheme; finite element; newton method; element ... See more keywords
The stabilized mixed finite element scheme of elasticity problem
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DOI: 10.1007/s40314-017-0466-5
Abstract: In this paper, we consider a new mixed finite element scheme of the elasticity problem in two and three dimensions, and the new scheme can impose Neumann boundary condition directly. A new stabilized method is… read more here.
Keywords: element scheme; finite element; scheme elasticity; mixed finite ... See more keywords
Transient ultrasonic guided wave simulation in layered composite structures using a hybrid wave and finite element scheme
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DOI: 10.1016/j.compstruct.2020.112376
Abstract: Abstract A guided wave simulation method for layered composites based on the wave and finite element scheme is presented. An approach for calculating complex displacement fields such as those generated from piezoelectric transducers is developed.… read more here.
Keywords: element scheme; finite element; guided wave; wave simulation ... See more keywords
A convergent finite element scheme for a fourth-order liquid crystal model
Sign Up to like & getrecommendations! Published in 2020 at "Ima Journal of Numerical Analysis"
DOI: 10.1093/imanum/draa069
Abstract: In this manuscript we propose and analyse a fully discrete, unconditionally stable finite element scheme for a recently developed director model for liquid crystalline flows (Metzger, S. (2020) On a novel approach for modeling liquid… read more here.
Keywords: element scheme; finite element; field; fourth order ... See more keywords