Results 61 to 70 of about 1,759,067 (289)

Finite difference and finite element methods for partial differential equations on fractals

Revista Integración, 2022
In this paper, we present numerical procedures to compute solutions of partial differential equations posed on fractals. In particular, we consider the strong form of the equation using standard graph Laplacian matrices and also weak forms of the ...
Luis F. Contreras H., Juan Galvis
doaj  

Numerical stability for finite difference approximations of Einstein's equations

, 2006
We extend the notion of numerical stability of finite difference approximations to include hyperbolic systems that are first order in time and second order in space, such as those that appear in Numerical Relativity. By analyzing the symbol of the second
Alcubierre, Anderson, Arnowitt, Baumgarte, Beyer, Bona, Bona, Calabrese, Calabrese, Frittelli, Frittelli, G. Calabrese, Gundlach, Gundlach, Gustafsson, I. Hinder, Kidder, Knapp, Kreiss, Kreiss, Kreiss, Kreiss, Nagy, Richtmyer, S. Husa, Sarbach, Shibata, Szilágyi, Szilágyi, Teukolsky   +29 more
core   +1 more source

Bistable Mechanisms 3D Printing for Mechanically Programmable Vibration Control

Advanced Engineering Materials, EarlyView.
This work introduces a 3D‐printed bistable mechanism integrated into tuned mass dampers (TMDs) for mechanically adaptive passive vibration suppression. Through optimized geometry, the bistable design provides adaptable vibration reduction across a broad range of scenarios, achieving effective vibration mitigation without complex controls or external ...
Ali Zolfagharian, Frédéric Demoly, Mohammad Lakhi, Bernard Rolfe, Mahdi Bodaghi   +4 more
wiley   +1 more source

Characterization of Defect Distribution in an Additively Manufactured AlSi10Mg as a Function of Processing Parameters and Correlations with Extreme Value Statistics

Advanced Engineering Materials, EarlyView.
Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt, Varma Kvvssn, Hossein Laieghi, Zia Uddin, Peyman Ansari, E. Kıvanç Sadak, Can Barış Toprak, Hüseyin Kızıl, Enrico Salvati   +8 more
wiley   +1 more source

Finite difference approximations for a class of non-local parabolic equations

International Journal of Mathematics and Mathematical Sciences, 1997
In this paper we study finite difference procedures for a class of parabolic equations with non-local boundary condition. The semi-implicit and fully implicit backward Euler schemes are studied.
Yanping Lin, Shuzhan Xu, Hong-Ming Yin   +2 more
doaj   +1 more source

A multi-domain hybrid method for head-on collision of black holes in particle limit

, 2011
A hybrid method is developed based on the spectral and finite-difference methods for solving the inhomogeneous Zerilli equation in time-domain. The developed hybrid method decomposes the domain into the spectral and finite-difference domains.
DEBANANDA CHAKRABORTY, Don W.-S., GAURAV KHANNA, JAE-HUN JUNG   +3 more
core   +1 more source

Evaluation of the Potential of Laser Shock Peening Compared with Cold Expansion for Improving Fatigue Resistance of Riveted Lap Joints of Aerospace Grade 7175 Al Alloy

Advanced Engineering Materials, EarlyView.
This study investigates laser shock peening for enhancing fatigue performance of riveted aerospace aluminum joints. A comparative approach with cold expansion combines fatigue testing and synchrotron X‐ray methods. Integrating mechanical testing with residual stress and strain characterization provides insights into how different treatments affect the ...
Ogün Baris Tapar, David Osman Busse, Maximilian Sprengel, Domenico Furfari, Marc‐André Nielsen, Guilherme Abreu Faria, Jérémy Epp   +6 more
wiley   +1 more source

The discontinuous Galerkin method with higher degree finite difference compatibility conditions and arbitrary local and global basis functions

Computer Assisted Methods in Engineering and Science, 2017
This paper focuses on the discontinuous Galerkin (DG) method in which the compatibility condition on the mesh skeleton and Dirichlet boundary condition on the outer boundary are enforced with the help of one-dimensional finite difference (FD) rules ...
Jan Jaśkowiec
doaj   +1 more source

A new dissipation term for finite-difference simulations in Relativity

, 2007
We present a new numerical dissipation algorithm, which can be efficiently used in combination with centered finite-difference methods. We start from a formulation of centered finite-volume methods for Numerical Relativity, in which third-order space ...
Alcubierre, Alic, Arbona, Bona, C. Bona, C. Bona-Casas, D. Alic   +6 more
core   +1 more source

Symmetrizable finite difference operators [PDF]

Mathematics of Computation, 1990
We introduce the notion of a symmetrizable finite difference operator and prove that such operators are stable. We then present some sufficient conditions for symmetrizability. One of these extends H.-O. Kreiss’ theorem on dissipative difference schemes for hyperbolic equations to a more general case with full (x, t)-variable coefficients.
openaire   +2 more sources