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 19  (2022)                  

(all papers can be downloaded at the page numbers)                        

Volume  19,  Number  1 (2022)  --- Contents                

                             

F. Xu, Q. Huang, S. Chen and H. Ma,  Adaptive multigrid method                                       for eigenvalue problem..........................................................................................1

P.N. Vabishchevich, Splitting schemes for some second-order evolutionary equations..................................................................................................... ......19

C. Wang, Low regularity primal-dual weak Galerkin finite element methods                        for ill-posed elliptic Cauchy problems...................................................................33

P.A. Naik, M. Ghoreishi and J. Zu,   Approximate solution of a nonlinear                         fractional-order HIV model using homotopy analysis method................................52

J. Fei, S. Xie and C. Chen, A scalar auxiliary variable (SAV) and operator                  splitting compact finite difference method for peritectic phase field model...............85

S. Nepal, Y. Wondmagegne and A. Muntean,  Error estimates                                        for semi-discrete finite element approximations for a moving boundary problem           capturing the penetration of diffusants into rubber..................................................101

Y. Chen, Z. Deng and Y. Huang,  Recovery-based a posteriori error estimation                 for elliptic interface problems based on partially penalized immersed finite element methods...............................................................................................................126

 

Volume  19,  Number  2-3 (2022)  --- Contents                

     Dedicated to Professor Max Gunzburger                                 on the occasion of his 75th Birthday    

                                                   Foreword

K. Kean, M. Neilan and M. Schneier,  The Scott-Vogelius method for the Stokes problem on anisotropic meshes............................................................................157

S. Calandrini, P.W. Jone and M. R. Petersen, An exponential time differencing          time-stepping scheme for the tracer equations in MPAS-Ocean.................... .....175

Y.C. Wang, L.J. Wang and Y.Z. Cao, Structure-preserving numerical                 methods for a class of stochastic Poisson systems............................................194

E. Aulisa, G. Capodaglio and G. Ke,   A computational study of preconditioning techniques for the stochastic diffusion equation with lognormal coefficient.............220

L. Chen, M. Xiong and J. Ming, Reduced approach for stochastic optimal              control problems.............................................................................................237

Y. Hwang, H.-D Kwon and J. Lee,  Optimal control problem of an SIR model              with random inputs based on a generalized polynomial chaos approach...............255

W. Chen, Q. Liu and J. Shen,  Error estimates and blow-up analysis of                            a finite element approximation for the parabolic-elliptic-Keller-Segel system.........275

J. Burkardt, W. Pei and C. Trenchea,  A stress test for the  midpoint                          time-stepping method..................................................................................299

D.J. Liu, L. Zhou and X.P. Zhang, On an adaptive LDG for the p-Laplace problem.................... ..................................................................................315

G. Bornia, A. Chierici and S. Ratnavale, A comparison of regularization            methods for boundary optimal control problems............................................329

A. Chierici, V. Giovacchini and S. Manservisi,   Analysis and numerical                   results for boundary optimal control problems applied to turbulent buoyant flows....................................................................................................................347

G.-R. Piao, F. Yao and W. Zhao, Reduced basis finite element methods                          for the Korteweg-de Vries-Burgers equation........................................................369

H.C. Lee and H. Lee,  A weighted least-squares finite element method for Biot's consolidation problem.....................................................................................386

K. Chrysafinos and D. Kostas,  Numerical analysis of high order time stepping                    schemes for a predator-prey system......................................................................404

K. Kean, W. Layton and M. Schneier,  Clipping over dissipation in turbulence           models regularization.......................................................................................424

 

Volume  19,  Number  4 (2022)  --- Contents                

F.J. Cao, D.F. Yuan, Z.Q. Sheng, G.W. Yuan and L.M. He,  A finite               difference method for elliptic problems with implicit jump condition..........................439

C. Daveau, A. Aubkirov and P. Soudais, Boundary element method with                   high order impedance boundary conditions in electromagnetics.................... ..........458

N. Wang and J. Chen, Convergence analysis of Nitsche extended finite                  element methods for H(curl)-elliptic interface problems..........................................487

A. Anees and L. Angermann,   Energy stable time domain finite element                  methods for nonlinear models in optics and photonics.............................................511

F.M. Zhai and L.Q. Cao, A multiscale parallel algorithm for parabolic                     integro-differential equation in composite media....................................................542

J. Wang, X. Zhang and Q. Zhuang,  An immersed Crouzeix-Raviart  finite             element method for Navier-Stokes equations with moving interfaces.....................563

A.L. Yang and F. Gu,  A mesh-less, ray-based deep neural network method                  for the Helmholtz equation with high frequency.....................................................587

Volume  19,  Number  5 (2022)  --- Contents                

X. Zhu, M. He and P. Sun,  Comparative studies on mesh-free deep neural           network approach versus finite element method for solving coupled nonlinear        hyperbolic/wave equations...............................................................................603

A. Makki, A. Miranville and M. Petcu, A numerical analysis of the coupled           Cahn-Hilliard/Allen-Cahn system with dynamic boundary conditions...... ..........630

F. Yao, A second-order embedded low-regularity integrator for the quadratic         nonlinear Schrodinger equation on torus............................................................656

J. Adetola, B. Ahounou, G. Awanou and H. Guo,   Low order mixed finite           element approximations of the Monge-Ampere equation....................................669

Y. Li, C. Hu and M. Feng, A least-squares stabilization virtual element                    method for the Stokes problem on polygonal meshes.......................................685

T.  Wu, C. Huang, Z. Jin, Z.  Jia and M. K. Ng,  Total variation based pure      quaternion dictionary learning method for color image denoising........................709

Volume  19,  Number  6 (2022)  --- Contents    

 Prologue

Y. Hou, W. Yan, L. Boveleth and X. He,  A decoupled, parallel,                          iterative finite element method for solving the steady Boussinesq equations........................................................................................................739

A. AL-Taweel, S. Hussain and X. Wang, Analysis of weak Galerkin                         finite element methods with supercloseness...... ................................................761

A.K. Barua, S. Li, X. Li and P. Leo, Asymptotic and exact self-similar                 evolution of a growing dendrite.........................................................................777

F. Zhang, W. Huang, X. Li and S. Zhang,   A study on phase-field models                   for brittle fracture...........................................................................................793

T. Kaman and R. Holley, Validation and verification of turbulence mixing                     due to Richtmyer-Meshkov instability of an air/SF_6 interface........................822

X. Chen, C. Wang and S.M. Wise,  A preconditioned steepest descent                   solver for the Cahn-Hilliard equation with variable mobility...............................839

M. Baccouch, An arbitrary-order ultra-weak discontinuous Galerkin method                       
for two-dimensional semilinear second-order elliptic problems on Cartesian                          grids
.................................................................................................................864

Z. Chao, S. Gui, B. Lu and D. Xie,  Efficient generation of membrane                                and solvent tetrahedral meshes for ion channel finite element calculation............887

 

 
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