Results 11 to 20 of about 2,258,481 (223)
Implicit-explicit time integration for the immersed wave equation [PDF]
Computers & Mathematics with Applications, 2023 Immersed boundary methods simplify mesh generation by embedding the domain of interest into an extended domain that is easy to mesh, introducing the challenge of dealing with cells that intersect the domain boundary. Combined with explicit time integration schemes, the finite cell method introduces a lower bound for the critical time step size ...
Christian Faßbender +4 more
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Case Studies in Construction Materials, 2020 This study aims to assess numerically the behavior of a wide range of reinforced concrete (RC) components under bending or combined effect of bending and axial compression.
B. Abdelwahed
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An explicit time integration method for Boussinesq approximation
PAMMAbstractThis paper presents a novel approach to the discretization of the Boussinesq equation using finite elements, coupled with an explicit pressure correction scheme. The entire numerical scheme is formulated exclusively in terms of matrix‐vector products, enabling a highly efficient numerical solution. The key advantage of this approach lies in its
Dandy Rueda Castillo +2 more
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Explicit Verlet time-integration for a Nitsche-based approximation of elastodynamic contact problems
Advanced Modeling and Simulation in Engineering Sciences, 2018 The aim of the present paper is to study theoretically and numerically the Verlet scheme for the explicit time-integration of elastodynamic problems with a contact condition approximated by Nitsche’s method. This is a continuation of papers (Chouly et al.
Franz Chouly, Yves Renard
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A dual adaptive explicit time integration algorithm for efficiently solving the cardiac monodomain equation [PDF]
International Journal for Numerical Methods in Biomedical Engineering, 2020 The monodomain model is widely used in in‐silico cardiology to describe excitation propagation in the myocardium. Frequently, operator splitting is used to decouple the stiff reaction term and the diffusion term in the monodomain model so that they can ...
Konstantinos A. Mountris, E. Pueyo
semanticscholar +1 more source
New Stable, Explicit, Shifted-Hopscotch Algorithms for the Heat Equation
Mathematical and Computational Applications, 2021 Our goal was to find more effective numerical algorithms to solve the heat or diffusion equation. We created new five-stage algorithms by shifting the time of the odd cells in the well-known odd-even hopscotch algorithm by a half time step and applied ...
Ádám Nagy +4 more
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Algorithms, 2023 The time-dependent diffusion equation is studied, where the diffusion coefficient itself depends simultaneously on space and time. First, a family of novel, nontrivial analytical solutions is constructed in one space dimension with the classical self ...
Mahmoud Saleh +2 more
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TVD-MOOD schemes based on implicit-explicit time integration
Applied Mathematics and Computation, 2022 The context of this work is the development of first order total variation diminishing (TVD) implicit-explicit (IMEX) Runge-Kutta (RK) schemes as a basis of a Multidimensional Optimal Order detection (MOOD) approach to approximate the solution of hyperbolic multi-scale equations. A key feature of our newly proposed TVD schemes is that the resulting CFL
Michel-Dansac, Victor, Thomann, Andrea
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Locally implicit discontinuous Galerkin method for time domain electromagnetics [PDF]
, 2009 In the recent years, there has been an increasing interest in discontinuous Galerkin time domain (DGTD) methods for the solution of the unsteady Maxwell equations modeling electromagnetic wave propagation.
Dolean Maini, Victorita +3 more
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Two fluid dust and gas mixtures in SPH: A semi-implicit approach [PDF]
, 2014 A method to avoid the explicit time integration of small dust grains in the two fluid gas/dust smoothed particle hydrodynamics (SPH) approach is proposed.
Bate, Matthew R., Loren-Aguilar, Pablo
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