Unconditional stability and error estimates of modified characteristics FEMs for the Navier–Stokes equations

Type: Article

Publication Date: 2015-10-26

Citations: 84

DOI: https://doi.org/10.1007/s00211-015-0767-9

Locations

  • Numerische Mathematik - View

Similar Works

Action Title Year Authors
+ Unconditional stability and error estimates of the modified characteristics FEMs for the time-dependent thermally coupled incompressible MHD equations 2022 Zhiyong Si
Jingyun Lu
Yunxia Wang
+ Unconditional stability and error estimates of the modified characteristics FEMs for the time-dependent incompressible MHD equations 2018 Yang Yang
Zhiyong Si
+ The Generalized Stability and Convergence Estimations of Finite Element Methods for the Navier–Stokes Equations 2020 Wang Shen-lin
+ PDF Chat Unconditional stability and error analysis of an Euler IMEX-SAV scheme for the micropolar Navier-Stokes equations 2023 Xiaodi Zhang
Xiaonian Long
+ Unconditional Stability and Optimal Error Estimates of Euler Implicit/Explicit-SAV Scheme for the Navier–Stokes Equations 2021 Tong Zhang
Jinyun Yuan
+ Unified analysis for stabilized methods of low-order mixed finite elements for stationary Navier-Stokes equations 2013 Gang Chen
Minfu Feng
Yinnian He
+ Unconditional stability and optimal error analysis of mass conservative characteristic mixed FEM for wormhole propagation 2022 Xindong Li
Wenwen Xu
Wei Liu
+ Unconditional stability and long-term behavior of transient algorithms for the incompressible Navier-Stokes and Euler equations 1994 J.C. Simo
F. Armero
+ Unconditional convergence analysis of stabilized FEM-SAV method for Cahn-Hilliard equation 2021 Yaxiang Li
Jiangxing Wang
+ On Unconditional Stability of a Variable Time Step Scheme for the Incompressible Navier-Stokes Equations 2024 Yalan Zhang
Pengzhan Huang and Yinnian He
+ Unconditional convergence and superconvergence analysis for the transient Stokes equations with damping 2020 Zhenzhen Li
Minghao Li
Dongyang Shi
+ A numerical verification for an unconditionally stable FEM for elastodynamics 2008 Scott T. Miller
Francesco Costanzo
+ Decoupled modified characteristic FEMs for fully evolutionary Navier–Stokes–Darcy model with the Beavers–Joseph interface condition 2020 Luling Cao
Yinnian He
Jian Li
Di Yang
+ Unconditional superconvergence analysis of a new mixed finite element method for nonlinear Sobolev equation 2015 Dongyang Shi
Fengna Yan
Junjun Wang
+ Unconditionally Optimal Error Analysis of Crank–Nicolson Galerkin FEMs for a Strongly Nonlinear Parabolic System 2017 Dongfang Li
Jilu Wang
+ Stabilized finite element method for Navier-Stokes equations with physical boundary conditions 2008 Mohamed Amara
Daniela Capatina
David Trujillo
+ Characteristic stabilized noncomforming finite element method for the unsteady incompressible Navier-Stokes equations 2014 Feifei Jing
Jian Su
Xiaoxu Zhang
Xiaomin Liu
+ Residual-based stabilized higher-order FEM for advection-dominated problems 2005 Gert Lube
Gerd Rapin
+ PDF Chat Global in time stability and accuracy of IMEX-FEM data assimilation schemes for Navier–Stokes equations 2018 Adam Larios
Leo G. Rebholz
Camille Zerfas
+ PDF Chat On the stability of approximations for the Stokes problem using different finite element spaces for each component of the velocity 2015 Francisco Guillén‐González
José Rafael Rodríguez Galván

Works That Cite This (57)

Action Title Year Authors
+ Unconditional stability and optimal error analysis of mass conservative characteristic mixed FEM for wormhole propagation 2022 Xindong Li
Wenwen Xu
Wei Liu
+ Unconditional stability and error estimates of the modified characteristics FEMs for the time-dependent incompressible MHD equations 2018 Yang Yang
Zhiyong Si
+ Variable-time-step BDF2 nonconforming VEM for coupled Ginzburg-Landau equations 2023 Meng Li
Lingli Wang
Nan Wang
+ Superconvergence results for nonlinear Klein-Gordon-Schrödinger equation with backward differential formula finite element method 2022 Junjun Wang
Meng Li
+ Unconditional superconvergent analysis of a linearized finite element method for Ginzburg-Landau equation 2019 Dongyang Shi
Qian Liu
+ Unconditionally convergent and superconvergent FEMs for nonlinear coupled time-fractional prey–predator problem 2023 Yu Lu
Meng Li
+ Superconvergence analysis of a linearized energy-conservative Galerkin method for the nonlinear Schrödinger equation with wave operator 2023 Huaijun Yang
Lele Wang
Xin Liao
+ Second-order modified characteristics FEMs for the time-dependent thermally coupled incompressible MHD equations 2024 Zhiyong Si
Jingyun Lu
Yunxia Wang
+ Superconvergence analysis of a linearized three‐step backward differential formula finite element method for nonlinear Sobolev equation 2019 Junjun Wang
Qingfu Li
+ Unconditional Error Analysis of a Linearized Bdf2 Virtual Element Method for Nonlinear Ginzburg-Landau Equation with Variable Time Step 2022 Nan Wang
Meng Li

Works Cited by This (23)

Action Title Year Authors
+ Elliptic Equations in Polyhedral Domains 2010 Vladimir Maz’ya
J. Roßmann
+ Numerical Analysis of Convection‐Diffusion‐Reaction Problems with Higher Order Characteristics/Finite Elements. Part II: Fully Discretized Scheme and Quadrature Formulas 2006 Alfredo Bermúdez
María R. Nogueiras
Carlos Vázquez
+ PDF Chat Unconditional Convergence and Optimal Error Estimates of a Galerkin-Mixed FEM for Incompressible Miscible Flow in Porous Media 2013 Buyang Li
Weiwei Sun
+ A New Error Analysis of Characteristics-Mixed FEMs for Miscible Displacement in Porous Media 2014 Jilu Wang
Zhiyong Si
Weiwei Sun
+ Modified Lagrange–Galerkin methods of first and second order in time for convection–diffusion problems 2011 Rodolfo Bermejo
Laura Saavedra
+ An Optimal-Order Estimate for Eulerian–Lagrangian Localized Adjoint Methods for Variable-Coefficient Advection-Reaction Problems 1996 Richard E. Ewing
Hong Wang
+ Curved Elements in the Finite Element Method. I 1973 Miloš Zlámal
+ Numerical Analysis of Convection‐Diffusion‐Reaction Problems with Higher Order Characteristics/Finite Elements. Part I: Time Discretization 2006 Alfredo Bermúdez
María R. Nogueiras
Carlos Vázquez
+ An adaptive characteristic Petrov-Galerkin finite element method for convection-dominated linear and nonlinear parabolic problems in one space variable 1986 Leszek Demkowicz
J. Tinsley Oden
+ Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures 1982 Jim Douglas
Thomas F. Russell