International Journal of                                                 Numerical Analysis & Modeling
 
 ISSN 1705-5105
 
"For the things of this world cannot be made known without a knowledge of mathematics" -----Roger Bacon
 
Contents

 

                

              Volume 17  (2020)                  

(all papers can be downloaded at the page numbers)                        

Volume  17,  Number  1 (2020)  --- Contents                

                                 

L. Wang, C. Yao and Z. Zhang,  Convergence analysis of finite element           approximation  for 3-D magneto-heating coupling model.........................................1

A. Cibik, F. G. Eroglu and S. Kaya,  LONG TIME STABILITY OF                                   A LINEARLY EXTRAPOLATED BLENDED BDF SCHEME FOR         MULTIPHYSICS FLOWS..................................................................................24

J. Li and Y. He, The property of the branch of nonsingular  finite element/finite volume solutions to the stationary Navier-Stokes equations and its application......................42

T. Sorokina and S. Zhang,   Conforming harmonic finite elements on                                 the Hsieh-Clough-Tocher split of a triangle................................................................54

T. Xu, S. Ji, R. Huang, M. Mei and J. Yin, Theoretical and numerical studies                  on global stability of traveling waves with oscillations for time-delayed
nonlocal dispersion equations....................................................................................68

S.S. Ravindran,  Analysis of a second-order decoupled time-stepping scheme                    for transient viscoelastic flow......................................................................................87

X. Ye and S. Zhang,  A conforming discontinuous Galerkin finite element method.....................................................................................................................110

R. Li and W. Li,  3D B_2 model for radiative transfer equation................................118

Volume  17,  Number  2 (2020)  --- Contents                

                              

T. Wang, X. Li and H. Wang,  An error estimate of a Eulerian-Lagrangian                localized adjoint method for a space-fractional advection diffusion equation................151

N. Bazarra, J.R. Fernandez, M.C. Leseduarte, A. Magana and R. Quintanilla,              On the linear thermoelasticity with two porosities: numerical aspects.....................172

X. Guo, Y. Li and T. Zeng, A finite difference scheme for Caputo-Fabrizio               fractional differential equations...................................................................................195

S. Armstrong and J. Han,   An unconditionally stable numerical scheme                             for  a competition system involving diffusion terms....................................................212

X. Li, N. Qi, W. Zhang and Y. Nie, Provably size-guaranteed mesh generation                with superconvergence............................................................................................236

V. DeCaria, W. Layton and H. Zhao,  A time-accurate, adaptive discretization                 for fluid flow problems.............................................................................................254

X. Ye and S. Zhang,  A conforming discontinuous Galerkin finite element                      method : Part II.....................................................................................................281

Volume  17,  Number  3 (2020)  --- Contents                

                              

S. Russell and N. Madden,  Analysis of a Galerkin finite element method                   applied to a singularly perturbed reaction-diffusion problem in three dimensions..297

T.T. Wu, Z.F. Pang, Y.G. Wang and Y.F. Yang,  CS-MRI  reconstruction                   based on the constrained TGV-shearlet scheme................................................316

P. Offner, J. Glaubitz and H. Ranocha, .Analysis of artificial dissipation of                 explicit and implicit time-integration methods.....................................................332

W. Sun and C. Wu,   Efficient Galerkin-mixed FEMs for incompressible                        miscible flow in porous media..........................................................................350

M. Baccouch, A finite difference method for stochastic nonlinear second-order        boundary-value problems driven by additive noisese.........................................368

H. Pan, Z. Zhang and L. Zhao,  Some new developments of polynomial                        preserving recovery on hexagon and chevron patches......................................390

Yu. Poveshchenk, P. Rahimly, O. Rahimly, V. Podryga and I. Gasilova,                         A numerical approach to study the thermal influence on gas hydrates
by physical process splitting...........................................................................404

Ebise A. Abdi and Hans J. Schroll,    An adaptive viscosity E--scheme                            for degenerate conservation and balance laws..................................................434

Volume  17,  Number  4 (2020)  --- Contents                

                           

X. M. Wen, M. Y. Zhang and Y. Chen,  Dynamical behaviors of                             attraction-repulsion chemotaxis models.............................................................457

J.K. Djoko, H.H. Gidey and B.D. Reddy,  Multilevel finite volume                          methods for 2D incompressible Navier-Stokes equations..................................485

J. Wang, X. Ye and S. Zhang,  Numerical investigation on weak                                Galerkin finite elements.....................................................................................517

S. Franz and H.-G. Roos,   Error estimates in balanced norms of finite                        element methods for higher order reaction-diffusion problems..........................532

C. Chen, D. Liang and S. Xie, The time high-order energy-preserving                      schemes for the nonlocal Benjamin-Ono equation............................................543

M. Mohlenkamp, T. R. Young and B. Barany,  Some new developments                           of polynomial preserving recovery on hexagon and chevron patches.................557

W. Fu and Z. Chen,  Superlinear convergence of an SQP-type method                               for nonlinear semidefinite programming..........................................................592

Volume  17,  Number  5 (2020)  --- Contents                

                       

M. Agnese and R. Nurnberg,  Fitted front tracking methods for two-phase      ncompressible Navier-Stokes flow: Eulerian and ALE  finite element discretizations.....................................................................................................613

Q. Hu, Y. He and K. Wang,  Weak Galerkin method for the Helmholtz                      equation with DtN boundary condition.................................................................643

K. Nouri, H. Ranjbar and J.-C. Cortes,  Modifying the split-step                                $\theta$-method with harmonic-mean term for stochastic differential equations.....662

W. Gong and Q. Zou,   Locally conservative finite element solutions for parabolic equations.............................................................................................................679

P. Singh and P. Sinha, Interior-exterior penalty approach for solving                             elasto-hydrodynamic lubrication problem: Part I...................................................695

X. Wang, Y. Liu and Q. Zha,  The weak Galerkin finite element method for solving             the time-dependent Stokes flow.............................................................................732

Y. Liu, Z. Wan, Q. Li and Q. Zhang,  A Corrected nearest neighbor                  transpotation method of aerodynamic force for fluid-structure interactions..................746

Volume  17,  Number  6 (2020)  --- Contents                

                       

M. Baccouch,  Asymptotically exact a-posteriori error estimates for the local         discontinuous Galerkin method for nonlinear KdV equations in one space dimension...............................................................................................................767

X. Ye and S. Zhang,  A conforming discontinuous Galerkin finite element method:             Part III..................................................................................................................794       

T. Jangveladze and Z. Kiguradze,  Unique solvability and decomposition method                 for one nonlinear multi-dimensional integro-differential parabolic equation...................806

X. Cheng and X. Wang,   Numerical analysis of a history-dependent variational-hemivariational inequality for a viscoplastic contact problem........................................820

M. Neilan and A. Zytoon, Connection between Grad-Div stabilized Stokes finite        elements and divergence-free Stokes finite elements....................................................839

S. Zhang and Y. Nie,  A POD-based fast algorithm for the nonlocal unsteady problems...................................................................................................................858

Y. Zhou, A class of bubble enriched quadratic finite volume element schemes                         on triangular meshes................................................................................................872

B. Li, An explicit formula for corner singularity expansion of the solutions to
the Stokes equations in a polygon..........................................................................900

 

 

 

 

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