Volume 20  (2023)

(all papers can be downloaded at the page numbers)

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

V. H. Mederos, I. A. Ugalde, R. M. B. Alfonso, D. Lahaye and V. G. Ones, Isogeometric Solution of Helmholtz Equation with Dirichlet Boundary Condition in Regions with Irregular Boundary: Numerical Experiences.pdf (1)

Y. Li, X. Cheng and X. Wang, Optimal Control of a Quasistatic Frictional Contact Problem with History-Dependent Operators.pdf (29)

K. Muzhinji, Optimal Block Preconditioner for an Efficient Numerical Solution of the Elliptic Optimal Control Problems Using GMRES Solver.pdf(47)

J. Ahn and N. Tate, A Spring–Beam System with Signorini’s Condition and the Normal Compliance Condition.pdf (67)

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.pdf (92)

H. Yang and Y. Li, The Mixed Finite Volume Methods for Stokes Problem Based on MINI Element Pair.pdf (134)

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

R. Li and Y. Yang, Linear Moment Models to Approximate Knudsen Layers.pdf (153)

S. Ingimarson, M. Neda, L. G. Rebholz, J. Reyes and A. Vu, Improved Long Time Accuracy for Projection Methods for Navier-Stokes Equations Using EMAC Formulation.pdf (176)

N. Kumar and B. Deka, Weak Galerkin Finite Element Methods for Parabolic Problems with $L^2$ Initial Data.pdf (199)

T. Nguyen, Adaptive Central-Upwind Scheme on Triangular Grids for the Shallow Water Model with Variable Density.pdf (229)

G. Fu, Monolithic and Partitioned Finite Element Schemes for FSI Based on an ALE Divergence-Free HDG Fluid Solver and a TDNNS Structural Solver.pdf (267)

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.pdf (313)

P. G. Geredeli, C. Givens and A. Zytoon, Numerical Approximations for the Null Controllers of Structurally Damped Plate Dynamics.pdf (329)  

Q. Du and Z. Zhou, Nonlocal-in-Time Dynamics and Crossover of Diffusive Regimes.pdf (353)

Petr N. Vabishchevich, Exponent Splitting Schemes for Evolution Equations with Fractional Powers of Operators.pdf (371)

C.-C. Ji, W. Dai and R. E. Mickens, A Fractional-Order Alternative for Phase-Lagging Equation.pdf (391)

K. Kean, X. Xie and S. Xu, A Doubly Adaptive Penalty Method for the Navier Stokes Equations.pdf (407)

P.-A. Gourdain, M. Evans, H. R. Hasson, J. R. Young, I. West-Abdallah and M. B. Adams, A Fully Implicit Method Using Nodal Radial Basis Functions to Solve the Linear Advection Equation.pdf (437)

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 Microemulsions.pdf (459)

M. Yang and Y. Nie, Well-Posedness and Convergence Analysis of a Nonlocal Model with Singular Matrix Kernel.pdf (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.pdf (497)

Y. Lin, S. Li and Y. Zhang, Convergence Rate Analysis of Accelerated Forward-Backward Algorithm with Generalized Nesterov Momentum Scheme.pdf (518)

P. K. Sahu and K. S. Patel, High Order Method for Variable Coefficient Integro-Differential Equations and Inequalities Arising in Option Pricing.pdf (538)

H. Liu, P. Huang and Y. He, A Penalty Finite Element Method for the Stationary Closed-Loop Geothermal Model.pdf (557)

D. Wang, Y. Zhang and H. Wang, A Splitting Spectral Method for the Nonlinear Dirac-Poisson Equations.pdf (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.pdf (597)

M. Baccouch, A Posteriori Error Analysis for an Ultra-Weak Discontinuous Galerkin Approximations of Nonlinear Second-Order Two-Point Boundary-Value Problems.pdf (618)

D. Li, Y. Li and Z. Yuan, A New Weak Galerkin Method with Weakly Enforced Dirichlet Boundary Condition.pdf (647)

M. Dallas and S. Pollock, Newton-Anderson at Singular Points.pdf (667)

J. Xu, J. Zhao and Y. Zhao, Numerical Approximations of the Allen-Cahn-Ohta-Kawasaki Equation with Modified Physics-Informed Neural Networks (PINNs).pdf (693)

J. Ding, S. Xu and Z. Li, Fractional Order Learning Methods for Nonlinear System Identification Based on Fuzzy Neural Network.pdf (709)

A. L Yang, A Novel Deep Neural Network Algorithm for the Helmholtz Scattering Problem in the Unbounded Domain.pdf (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.pdf (739)

M. Baccouch, A Posteriori Error Estimates for a Local Discontinuous Galerkin Approximation of Semilinear Second-Order Elliptic Problems on Cartesian Grids.pdf (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.pdf (805)

B. Bialecki and N. Fisher, Orthogonal Spline Collocation for Poisson’s Equation with Neumann Boundary Conditions.pdf (832)

X. Ye and S. Zhang, A Conforming DG Method for the Biharmonic Equation on Polytopal Meshes.pdf (855)

C. Attanayake, S. Chou and Q. Deng, High-Order Enriched Finite Element Methods for Elliptic Interface Problems with Discontinuous Solutions.pdf (870)