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"For the things of this world
cannot be made known without a knowledge of
mathematics" -----Roger Bacon |
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Contents |
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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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