On nonconvex meshes for elastodynamics using virtual element methods with explicit time integration
Sign Up to like & getrecommendations! Published in 2019 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2019.06.031
Abstract: Abstract While the literature on numerical methods (e.g. finite elements and, to a certain extent, virtual elements) concentrates on convex elements, there is a need to probe beyond this limiting constraint so that the field… read more here.
Keywords: virtual element; explicit time; time integration; element ... See more keywords
An enhanced explicit time-marching technique for wave propagation analysis considering adaptive time integrators
Sign Up to like & getrecommendations! Published in 2020 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2020.112882
Abstract: Abstract In this work, a novel family of explicit time marching techniques is proposed for wave propagation analyses. The main features of the new approach are: (i) the family is based only on single-step displacement–velocity… read more here.
Keywords: time marching; time integrators; time; adaptive time ... See more keywords
Novel explicit time integration schemes for efficient transient analyses of structural problems
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Mechanical Sciences"
DOI: 10.1016/j.ijmecsci.2020.105429
Abstract: Abstract In this study, four sets of novel and enhanced two-stage explicit time integration schemes are developed based on a unified set of unconventional approximations. For the development of explicit schemes, truncated Taylor’s series expansions… read more here.
Keywords: time integration; explicit time; algorithmic parameters; integration schemes ... See more keywords
GPU Accelerated Explicit Time-Integration Methods for Electro-Quasi-Static Fields
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DOI: 10.1109/cefc.2016.7816199
Abstract: Electro-quasi-static (EQS) field problems involving nonlinear materials are commonly discretized in space using finite elements. In this paper, it is proposed to solve the resulting system of ordinary differential equations (ODEs) by an explicit Runge–Kutta–Chebyshev… read more here.
Keywords: quasi static; time; time integration; explicit time ... See more keywords
Multiple Right-Hand Side Techniques in Semi-Explicit Time Integration Methods for Transient Eddy-Current Problems
Sign Up to like & getrecommendations! Published in 2017 at "IEEE Transactions on Magnetics"
DOI: 10.1109/tmag.2017.2682558
Abstract: The spatially discretized magnetic vector potential formulation of magnetoquasistatic field problems is transformed from an infinitely stiff differential-algebraic equation system into a finitely stiff ordinary differential equation (ODE) system by applying a generalized Schur complement… read more here.
Keywords: time; hand side; right hand; time integration ... See more keywords
Higher-order explicit time integration methods for numerical analyses of structural dynamics
Sign Up to like & getrecommendations! Published in 2019 at "Latin American Journal of Solids and Structures"
DOI: 10.1590/1679-78255609
Abstract: In this article, thirdand fourth-order accurate explicit time integration methods are developed for effective analyses of various linear and nonlinear dynamic problems stated by second-order ordinary differential equations in time. Two sets of the new… read more here.
Keywords: order; new methods; time; integration methods ... See more keywords