Long-term dissipativity of time-stepping algorithms for an abstract evolution equation with applications to the incompressible MHD and Navier-Stokes equations

Type: Article

Publication Date: 1996-04-01

Citations: 77

DOI: https://doi.org/10.1016/0045-7825(95)00931-0

Locations

  • Computer Methods in Applied Mechanics and Engineering - View

Similar Works

Action Title Year Authors
+ High Frequency Dissipative Integration Schemes for Linear and Nonlinear Elastodynamics 2016 Ignacio Romero
+ Dissipative, noniterative integration algorithms with unconditional stability for mildly nonlinear structural dynamic problems 2014 Shuenn‐Yih Chang
+ Long time stability of a classical efficient scheme for two dimensional Navier-Stokes equations 2011 Sigal Gottlieb
Florentina Tone
Cheng Wang
Xiaoming Wang
D. Wirosoetisno
+ Long time stability of a classical efficient scheme for two dimensional Navier-Stokes equations 2011 Sigal Gottlieb
Florentina Tone
Cheng Wang
Xiaoming Wang
D. Wirosoetisno
+ Unconditional stability and long-term behavior of transient algorithms for the incompressible Navier-Stokes and Euler equations 1994 J.C. Simo
F. Armero
+ On the construction of conservative semi-Lagrangian IMEX advection schemes for multiscale time dependent PDEs 2021 Walter Boscheri
Maurizio Tavelli
Lorenzo Pareschi
+ Long Time Stability of a Classical Efficient Scheme for Two-dimensional Navier–Stokes Equations 2012 Sigal Gottlieb
Florentina Tone
C. Wang
Xiaoming Wang
D. Wirosoetisno
+ Formulation of a new class of fractional-step methods for the incompressible MHD equations that retains the long-term dissipativity of the continuum.. 1996 F Armero
J Simo
+ PDF Chat On the Construction of Conservative Semi-Lagrangian IMEX Advection Schemes for Multiscale Time Dependent PDEs 2022 Walter Boscheri
Maurizio Tavelli
Lorenzo Pareschi
+ Numerically dissipative time integration algorithms for structural dynamics. 1992 Jintai Chung
+ Implementation of time-space multiscale techniques for transient nonlinear problems 2002 Anthony Gravouil
Alain Combescure
+ PDF Chat Unconditionally stable, linearised IMEX schemes for incompressible flows with variable density 2024 NicolĂĄs Espinoza-Contreras
Gabriel R. Barrenechea
Ernesto Castillo
Douglas R. Q. Pacheco
+ PDF Chat On the stability of explicit finite difference methods for advection–diffusion equations 2022 Xianyi Zeng
Md. Mahmudul Hasan
+ Asymptotic-Preserving Schemes for Multiscale Hyperbolic and Kinetic Equations 2016 Jiuning Hu
Shi Jin
Q. Li
+ On the Stability of Explicit Finite Difference Methods for Advection-Diffusion Equations 2020 Xianyi Zeng
Md. Mahmudul Hasan
+ Galerkin-based energy–momentum consistent time-stepping algorithms for classical nonlinear thermo-elastodynamics 2011 Michael Groß
Peter Betsch
+ Enslaved finite difference schemes for nonlinear dissipative PDEs 1996 Don A. Jones
L.G. Margolin
Andrew C. Poje
+ Arbitrary-Lagrangian-Eulerian finite volume IMEX schemes for the incompressible Navier-Stokes equations on evolving Chimera meshes 2023 Michele Giuliano Carlino
Walter Boscheri
+ A unified mathematical framework of continuous and discontinuous time integrators and domain decomposition techniques for scalable high performance structural dynamics simulations 2001 Kumar K. Tamma
Ramdev Kanapady
+ Arbitrary-Lagrangian-Eulerian finite volume IMEX schemes for the incompressible Navier-Stokes equations on evolving Chimera meshes 2024 Michele Giuliano Carlino
Walter Boscheri

Works That Cite This (40)

Action Title Year Authors
+ Optimal error estimates of a second-order projection finite element method for magnetohydrodynamic equations 2020 Cheng Wang
Jilu Wang
Zeyu Xia
Liwei Xu
+ PDF Chat Symplectic-energy-momentum preserving variational integrators 1999 C. Kane
Jerrold E. Marsden
M. OrtĂ­z
+ Algorithms for coupled problems that preserve symmetries and the laws of thermodynamics 2010 Ignacio Romero
+ Convergent finite element discretization of the multi-fluid nonstationary incompressible magnetohydrodynamics equations 2010 ÄœubomĂ­r Baƈas
Andreas Prohl
+ Convergence analysis of Crank-Nicolson extrapolated fully discrete scheme for thermally coupled incompressible magnetohydrodynamic system 2020 Qianqian Ding
Xiaonian Long
Shipeng Mao
+ A decoupled scheme with second-order temporal accuracy for magnetohydrodynamic equations. 2020 Cheng Wang
Jilu Wang
Zeyu Xia
Liwei Xu
+ On an efficient second order backward difference Newton scheme for MHD system 2017 Jinjin Yang
Yinnian He
Guodong Zhang
+ A diffuse interface model and semi-implicit energy stable finite element method for two-phase magnetohydrodynamic flows 2019 Jinjin Yang
Shipeng Mao
Xiaoming He
Xiaofeng Yang
Yinnian He
+ PDF Chat Stability and Error Analysis of IMEX SAV Schemes for the Magneto-Hydrodynamic Equations 2022 Xiaoli Li
Weilong Wang
Jie Shen
+ Stability and Error Analysis for the First-Order Euler Implicit/Explicit Scheme for the 3D MHD Equations 2017 Jinjin Yang
Yinnian He