Results 1 to 9 of about 5,497 (9)

Optimal Control of a Rigid Body using Geometrically Exact Computations on SE(3) [PDF]

open access: yes, 2006
Optimal control problems are formulated and efficient computational procedures are proposed for combined orbital and rotational maneuvers of a rigid body in three dimensions. The rigid body is assumed to act under the influence of forces and moments that
Lee, Taeyoung   +2 more
core   +2 more sources

A virtual element method for the vibration problem of Kirchhoff plates [PDF]

open access: yes, 2017
The aim of this paper is to develop a virtual element method (VEM) for the vibration problem of thin plates on polygonal meshes. We consider a variational formulation relying only on the transverse displacement of the plate and propose an $H^2(\Omega ...
Mora, David   +2 more
core   +2 more sources

Long-Run Accuracy of Variational Integrators in the Stochastic Context [PDF]

open access: yes, 2010
This paper presents a Lie-Trotter splitting for inertial Langevin equations (Geometric Langevin Algorithm) and analyzes its long-time statistical properties. The splitting is defined as a composition of a variational integrator with an Ornstein-Uhlenbeck
Bou-Rabee N.   +3 more
core   +3 more sources

Relaxation Runge-Kutta Methods: Fully-Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations

open access: yes, 2019
The framework of inner product norm preserving relaxation Runge-Kutta methods (David I. Ketcheson, \emph{Relaxation Runge-Kutta Methods: Conservation and Stability for Inner-Product Norms}, SIAM Journal on Numerical Analysis, 2019) is extended to general
Dalcin, Lisandro   +4 more
core   +1 more source

hp-adaptive discontinuous Galerkin solver for elliptic equations in numerical relativity

open access: yes, 2019
A considerable amount of attention has been given to discontinuous Galerkin methods for hyperbolic problems in numerical relativity, showing potential advantages of the methods in dealing with hydrodynamical shocks and other discontinuities.
Fischer, N., Pfeiffer, H., Vincent, T.
core   +2 more sources

Dual virtual element method in presence of an inclusion

open access: yes, 2017
We consider a Darcy problem for saturated porous media written in dual formulation in presence of a fully immersed inclusion. The lowest order virtual element method is employ to derive the discrete approximation.
Fumagalli, Alessio
core   +1 more source

Smooth and compactly supported viscous sub-cell shock capturing for Discontinuous Galerkin methods

open access: yes, 2018
In this work, a novel artificial viscosity method is proposed using smooth and compactly supported viscosities. These are derived by revisiting the widely used piecewise constant artificial viscosity method of Persson and Peraire as well as the piecewise
Almeida, J. L. S.   +4 more
core   +1 more source

Wavelet Galerkin method for fractional elliptic differential equations [PDF]

open access: yes, 2014
Under the guidance of the general theory developed for classical partial differential equations (PDEs), we investigate the Riesz bases of wavelets in the spaces where fractional PDEs usually work, and their applications in numerically solving fractional ...
Deng, Weihua   +2 more
core  
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