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 20  (2023)                  

(all papers can be downloaded at the page numbers)                        

Volume  20,  Number  1 (2023)  --- Contents                

                             

V. Hernandez, I. Abello, R.M. Bruno, D. Lahaye and V. Guerra,                      Isogeometric solution of Helmholtz equation with Dirichlet boundary                         condition in regions with irregular boundary: numerical experiences.......................1

Y. Li, X. Cheng and X. Wang, Optimal control of a quasistatic frictional                        contact problem with history-dependent operators........................................ ......29.

10.4208/ijnam2023-1002

K. Muzhinji,  Optimal block preconditioner for an efficient numerical                        solution of the elliptic optimal control problems using GMRES solver....................47

DOI: 10.4208/ijnam2023-1003

J. Ahn and N. Tate,   A spring-beam system with Signorini's condition                                
and the normal compliance condition...............................................................
.....67

DOI: 10.4208/ijnam2023-1004

G. Haine, D. Matignon and A. Serhani,  Numerical analysis of
a structure-preserving space-discretization for an anisotropic and heterogeneous        boundary controlled $N$-dimensional wave equation as a port-Hamiltonian                          system
.................................................................................................................92

DOI: 10.4208/ijnam2023-1005

H. Yang and Y. Li,  The mixed finite volume methods for Stokes problem                   based on MINI element pair...............................................................................134

DOI: 10.4208/ijnam2023-1006

Volume  20,  Number  2 (2023)  --- Contents                

                             

R. Li  and Y. Yang,  Linear moment models to approximate Knudsen layers.......153

S. Ingimarson, M. Neda, L. Rebholz, J. Reyes and A. Vu,                               Improved long time accuracy for projection methods for Navier-Stokes                        equations using EMAC formulation............................................................... ......176

DOI: 10.4208/ijnam2023-1008

N. Kumar and B. Deka,  Weak Galerkin finite element methods                                        for parabolic problems with $L^2$ initial data......................................................199

DOI: 10.4208/ijnam2023-1009      

T. Nguyen,   Adaptive central-upwind scheme on triangular grids                                        for the shallow water model with variable density.................................................229

DOI: 10.4208/ijnam2023-1010

G. Fu,  Monolithic and partitioned finite element schemes for FSI based                               on an ALE divergence-free HDG fluid solver and a TDNNS structural solver.....267

DOI: 10.4208/ijnam2023-1011

Volume  20,  Number  3 (2023)  --- Contents                

                             

M.M. Guo and D.J. Liu,  The discrete Raviart-Thomas mixed finite element method      for the $p$-Laplace equation................................................................................313

P. G. Geredeli, C. Givens and A. Zytoon,  Numerical approximations for the null controllers of structurally damped plate dynamics............................. ....................339

DOI: 10.4208/ijnam2023-1013

Q. Du and Z. Zhou,  Nonlocal-in-time dynamics and crossover of diffusive  regimes...............................................................................................................353

DOI: 10.4208/ijnam2023-1014     

P. N. Vabishchevich,   Exponent splitting schemes for evolution equations                    with fractional powers of operators....................................................................371

DOI: 10.4208/ijnam2023-1015

C.-C. Ji, W.Z. Dai  and R.E. Mickens,  A fractional-order alternative for                 phase-lagging equation.......................................................................................391

DOI: 10.4208/ijnam2023-1016

K. Kean, X. Xie and S. Xu,   A doubly adaptive penalty method for                              the Navier Stokes equations..............................................................................407

DOI: 10.4208/ijnam2023-1017

P. Gourdain, M. Adams, M. Evans, H. Hasson, J. Young and I. West-Abdaliah,      A fully implicit method using nodal radial basis functions to solve the linear              advection equation..............................................................................................437

DOI: 10.4208/ijnam2023-1018

 

Volume  20,  Number  4 (2023)  --- Contents                

                             

A. E. Diegel and N. S. Sharma,  Unconditional energy stability and solvability                for a C0 interior penalty method for a sixth-order equation
modeling microemulsion......................................................................................459

M. Yang and Y. Nie,  Well-posedness and convergence analysis of a nonlocal           model with singular matrix kernel............................ ...........................................478

R. Aldbaissy, N. Chalhoub, J. K. Djoko and T. Sayah,  Full discretisation                    of the time dependent Navier-Stokes equations with anisotropic slip boundary                      condition..............................................................................................................497

Y. Lin, S. Li and Y. Zhang,   Convergence rate analysis of accelerated                   forward-backward algorithm with generalized Nesterov momentum scheme..........518

P. K. Sahu and K. S. Patel,  High order method for variable coefficient                    integro-differential equations and inequalities arising in option pricing.....................538

H. Liu, P. Huang and Y. He,   A penalty finite element method for                                     the stationary closed-loop geothermal model........................................................557

D. Wang, Y. Zhang and H. Wang,   A splitting spectral method for                                    the nonlinear Dirac-Poisson equations...................................................................577

Volume  20,  Number  5 (2023)  --- Contents                

                             

Y. Zhang and Y. Zhou,  A finite volume element solution based on postprocessing technique over arbitrary convex polygonal meshes...............................................597

 

M. Baccouch,  A posteriori error analysis for an ultra-weak discontinuous              Galerkin approximations of nonlinear second-order two-point boundary-value                      problems............................ ...............................................................................618

 

D. Li, Y. Li and Z. Yuan,  A new weak Galerkin method with weakly                   enforced Dirichlet boundary condition...................................................................647

 

M. Dallas and S. Pollock,   Newton-Anderson at singular points.........................667

 

J. Xu, J. Zhao and Y. Zhao,  Numerical approximations of                                            the Allen-Cahn-Ohta-Kawasaki equation with modified physics-informed                    neural networks (PINNs).....................................................................................693

 

J. Ding, S. Xu and Z. Li,   Fractional order learning methods for nonlinear system               identification based on fuzzy neural network........................... ................................709

 

A. L. Yang,   A novel deep neural network algorithm for the Helmholtz                  scattering problem in the unbounded domain...........................................................724

 

Volume  20,  Number  6 (2023)  --- Contents                

                             

C. Wang, W. Deng and X. Tang,  A sharp $\alpha$-robust $L1$ scheme                     on graded meshes for two-dimensional time tempered fractional Fokker-Planck                    equation.................................................................................................................739

M. Baccouch,  A  Posteriori error estimates for a local discontinuous Galerkin                     approximation of semilinear second-order elliptic problems on Cartesian grids............772

J. A. Fiordilino and M. Winger,  Unconditionally energy stable and first-order          accurate numerical schemes for the heat  equation with uncertain                       temperature-dependent conductivity.....................................................................805

B. Bialecki and N. Fisher,   Orthogonal spline collocation for Poisson's                             
equation with Neumann boundary conditions......................................................
....832

X. Ye and S. Zhang,  A conforming DG method for the biharmonic equation                    on polytopal meshes............................................................................................855

C. Attanayake, S-H Chou and Q. Deng,   High-order enriched finite element           methods for elliptic interface problems with discontinuous solutions....................870

 
 
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