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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 10
(2013)
(all papers can
be downloaded at the page numbers)
Volume 10, Number 1 (2013) ---
Contents
T. Sun, L. Ge and W. Liu,
Equivalent a posteriori error estimates for a
constrained
optimal control problem governed by parabolic
equations.........................................................1
J.-H. Pyo,
Error estimates for the second order
semi-discrete stabilized gauge-uzawa
method for the navier-stokes equations................................................................................... 24
L.
Cao, L. Zhang, W. Allegretto and Y. Lin,
Multiscale computation of a Steklov
eigenvalue problem with rapidly oscillating
coefficients............................................................. 42
G. Yuksel and R. Ingram,
Numerical analysis of a finite element
Crank-Nicolson discretization for
MHD flows at small magnetic Reynolds numbers......................... .................74
S.
Clain and M. Djeno,
The half-planes problem for the level set
equation.............................99
M. Franken, M. Rumpf and
B. Wirth,
A phase field based PDE constrained optimization
approach to time discrete Willmore flow.................. ..............................................................166
Q.
Lin and H. Xie,
Extrapolation of the finite element method on
general meshes.................
139
T. Xiong, C.-W. Shu and M. Zhang,
A priori error estimates for semi-discrete
discontinuous Galerkin methods solving nonlinear
Hamilton-Jacobi equations with
smooth solutions.................................................................................................................. 154
V.
Franklin, M. Paramasivam, J.J.H. Miller and S.
Valarmathi,
Second order
parameter-uniform convergence for a finite
difference method for a singularly perturbed
linear parabolic system..................... .....................................................................................178
Y.
Goto,
A 2-dimensional mechanical model of the
formation of a somite .................... ..........203
J.
Carcione and D. Kosloff,
Representation of matched-layer kernels with
viscoelastic
mechanical models...............................................................................................................221
H.
Chan, E. Chung and G. Cohen,
SStability and dispersion analysis of the
staggered
discontinuous Galerkin method for wave
propagation...........................................................233
Volume 10, Number
2 (2013) ---
Contents
R. Ingram,
Unconditional convergence of high-order
extrapolations of the Crank-Nicolson,
finite element method for the Navier-Stokes
equations...........................................................257
T. Lin and D. Sheen,
The immersed finite element method for parabolic
problems
using the Laplace transformation in time
discretization............................................................. 298
C.
Jung and T. Nguyen,
Semi-analytical numerical methods for
convection-dominated problems with
turning points..................................................................................................314
S. Dumont and J.-B.
Duval, Numerical investigation of the decay rate of
solutions to models for water waves with non
local viscosity ................................................... .................333
H. Zhu and Z. Zhang,
Local Error Estimates of the LDG Method for 1-D
Singularly
Perturbed Problems..............................................................................................................350
J. Cheng, X. Huang, S.
Shu, J. Xu, C. Zhang, S. Zhang and Z. Zhou,
Application of an energy-minimizing algebraic
multigrid method for subsurface water
simulations... .....................374
Z.
Chen, D. Cheng, W. Feng and T. Wu,
An optimal 9-point finite difference
scheme
for the Helmholtz equation with PML..................................................................................
389
E. Creuse, S. Nicaise, Z. Tang, Y. Menach, N.
Nemitz and F. Piriou,
Residual-based
a posteriori estimators for the T/ Ω
magnetodynamic harmonic formulation of
the Maxwell system.............................................................................................................. 411
L.
Wei and Y. He,
Numerical analysis of the fractional
seventh-order KdV equation using
an implicit fully discrete local discontinuous
Galerkin method.................. ...............................430
P. Kalita,
Convergence of Rothe scheme for hemivariational
inequalities of parabolic type ... 445
M.
Braack and N. Taschenberger,
Hierarchical a posteriori residual based
error estimators for bilinear finite elements............................................................................466
S.
Bajpai, N. Nataraj and A. Pani,
On fully discrete finite element schemes for
equations
of motion of Kelvin-Voigt fluids.............................................................................................482
Volume 10, Number
3 (2013) ---
Contents
B. Ewald and F. Tone,
Approximation of the long-term dynamics of the
dynamical system
generated by the two-dimensional
thermohydraulics equations................................................500
W. Shen, L. Ge and D.
Yang,
Finite element methods for optimal control
problems
governed by linear quasi-parabolic integro-differential
equations............................................. 536
J.
Wang, Y. Wang and X. Ye,
Unified a posteriori error estimator \\for
finite element methods for the Stokes equations........................................................................................................ 551
A.
Kacimi, T. Aliziane and B. Khouider, The
Arakawa Jacobian method and
a fourth-order essentially nonoscillatory scheme
for the beta-plane barotropic equations........ .571
X. Deng, Y. Zhao and J. Zou,
On
linear finite elements for simultaneously
recovering
source location and intensity..................................................................................................588
S.
Rao and M. Kumar, An almost
fourth order parameter-robust numerical method
for a linear system of M >=2 coupled singularly
perturbed reaction-diffusion problems... ........603
B. Li
and W. Sun,
Error analysis of linearized semi-implicit
Galerkin finite element methods
for nonlinear parabolic equations..........................................................................................
622
Y. Wu, X. Xie and L. Chen,
Hybrid stress finite volume method for linear
elasticity problems.............................................................................................................................. 634
J. Wu
and Z. Wang,
Mixed Fourier-generalized Jacobi rational
spectral method for
two-dimensional exterior problems............ ............................................................................657
K. Chrysafinos,
Convergence of discontinuous time-stepping
schemes for a Robin boundary control problem
under minimal regularity assumptions ............................................................ 673
X.
Luo, Y. Chen and Y. Huang,
Some error estimates of finite volume element
approximation for elliptic optimal control
problems.................................................................697
R.
Fabiano,A semidiscrete approximation scheme
for neutral delay-differential equations.......712
Y. Duan and X. Yang, The finite element method
of a Euler scheme for stochastic
Navier-Stokes equations involving the turbulent
component....................................................727
S.
Bahi and A. Ross,
An algorithm for finding nonnegative minimal
norm solutions of linear systems.................................................................................................................................745
Volume 10, Number
4 (2013) ---
Contents
N. Du, J. Shi and W. Liu,
An effective gradient projection method for
stochastic optimal
control................................................................................................................................. 757
W. Li, D. Liang and Y.
Lin, A new
energy-conserved S-FDTD scheme for Maxwell's
equations in metamaterials..................................................................................................... 775
C.
Clavero, J. Gracia, G. Shishkin and L. Shishkina,
Grid approximation of a singularly perturbed
parabolic equation with degenerating convective
term and discontinuous right-hand side......................................................................................................................................795
H.
Tian, H. Wang and W. Wang, An efficient
collocation method\for a non-local diffusion
model..................................................................................................................... ..............815
F. Guillen-Gonzalez and M. Redondo-Neble,
Spatial error estimates for a finite element
viscosity-splitting scheme for the Navier-Stokes
equations.....................................................826
P.
Zhu, Z. Xie and S. Zhou, Uniform
convergence of a coupled method for
convection- diffusion problems in 2-D Shishkin
mesh... .............................................................................845
M.~Asadzadeh and E.~Kazemi,
On convergence of the streamline diffusion and discontinuous Galerkin methods for the
multi-dimensional Fermi pencil beam equation...........
860
W. Zhao, Y. Li and L. Ju,
Error estimates of the Crank-Nicolson scheme for
solving backward stochastic
differential equations............................................................................. 876
J. Ku,
A comment on least-squares finite element
methods with minimum
regularity assumptions........... ...............................................................................................899
D. Shi and Z. Yu,
Nonconforming mixed finite element methods for
stationary incompressible magnetohydrodynamics ........................................................................................................ 904
P.
Vedell and Z. Wu,
The
solution of the boundary-value problems for the
simulation of transition of protein conformation...........................................................................................904
L.
Shan, W. Layton and H. Zheng, Numerical
analysis of modular VMS methods with nonlinear
eddy viscosity for the Navier-Stokes equations.......................................................943
Y. Xu and T. Zeng, Fast optimal H_2 model
reduction algorithms based on Grassmann manifold optimization............................................................................................................972
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