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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 14
(2017)
(all papers can
be downloaded at the page numbers)
Volume 14, Number 1 (2017) ---
Contents
Q. Zhang, M. Mei and C. Zhang,
Higher-order linearized multistep finite
difference
methods for non-Fickian delay reaction-diffusion
equations......................................................1
P.
Aursand and U. Koley, High-order
energy stable numerical schemes for a nonlinear
variational wave equation modeling nematic
liquid crystals in two dimensions..........................20
G.
Yu, X. Xie and Y. Guo,
Analysis of a mixed-shear-projected
quadrilateral element
method for Reissner-Mindlin plates......................................................................................... 48
S. Tomasiello, S. K.
Khattri and J. Awrejcewiczr,
Differential Quadrature-based
simulation of a class of fuzzy damped fractional
dynamical systems...................................... ....63
S.
Luo, Q, Lv, H. Chen and J. Song,
Second-order total variation and primal-dual
algorithm for CT image reconstruction
...................................................................................76
S. H. Chou and C.
Attanayake,
Flux recovery and superconvergence of quadratic
immersed interface finite elements.. .........................................................................................88
N.
Jiang,
On the convergence of \beta-schemes................................................................. 103
A.K. Pany, S.K. Paikray, S. Padhy and A.K. Pani,
Backward Euler schemes for
the Kelvin-Voigt viscoelastic fluid flow model........................................................................ 126
Volume 14, Number
2 (2017) ---
Contents
J. Fernandez and M. Masid,
Numerical analysis of a thermoelastic diffusion
problem with
voids...............................................................................................................153
Y.
Chu, D. Han, Y. Cao, X. He and J. Wang,
An immersed-finite-element particle-in-cell
simulation tool for plasma surface
interaction.......................................................................... 175
N. Truhar, Z.
Tomljanovic and M. Puvaca,,
An efficient approximation for optimal
damping in mechanical
systems........................................................................................... ...201
J.
Kou and S. Sun,
Efficient energy-stable dynamic modeling of
compositional grading..........218
C. Kahle,,
An L_\infty bound for the Cahn–Hilliard equation
with relaxed non-smooth free energy ...................................................................................................................................243
W.
Long, Y. Lu, L. Shen and Y. Xu,,
High-resolution image reconstruction: an env
l^1/TV model and a fixed-point
proximity
algorithm........................................................................... 255
Z. Qiao, C. Wang, S. Wise and Z. Zhang,
Error
analysis of a finite difference scheme for the
epitaxial thin Film model with slope selection
with an improved convergence constant............. 283
L. Mu and X. Ye,
A
simple finite element method for non-divergence
form elliptic equations.306
Volume 14, Number
3 (2017) ---
Contents
M. Hamouda, R. Temam and L. Zhang,
Modeling the lid driven flow: theory and
computation.........................................................................................................................313
L.
Guo and Y. Yang,
Superconvergence of discontinuous Galerkin
methods for linear hyperbolic equations with
singular initial data..........................................................................342
M. Baccouch,
An optimal \emph{a posteriori} error estimates
of the local discontinuous Galerkin method for
the second-order wave equation in one space
dimension...................... ...355
Y.
Zhang and Z. Chen,
Nonconforming finite
volume methods for second order elliptic
boundary value problems...................................................................................................... 381
K. Zhang and X. Yang,
Pricing European options on zero-coupon bonds
with a fitted finite volume method .....................................................................................................................405
C.
Sorgentone and B. Favini,,
A systematic method to construct mimetic
finite-difference schemes for incompressible
flows..........................................................................................419
Y. Yuan and D. Liang,
Numerical optimal pollution control subject to
the convection-diffusion transport equations............................................................................................................... 437
Y. Gao, J. Lv and L. Zhang,
Mixed
finite volume method for elliptic problems on
non-matching multi-block triangular grids.............................................................................
. 456
Volume 14, Number
4-5 (2017) ---
Contents
Preface
by Zhimin Zhang and Xu Zhang
G. Fu and C.-W. Shu,
Analysis of an embedded discontinuous Galerkin
method
with implicit-explicit time-marching
for convection-diffusion
problems....................................477
S.
Kim and H.-C. Lee,
Finite element method to control the domain
singularities of Poisson equation using the
stress intensity factor: mixed boundary
condition........................................500
C. Yao, Y. Lin, C. Wang
and Y. Kou,
A third order linearized BDFscheme for Maxwell's
equations with nonlinear conductivity using
finite element method........................................ ...511
D.Y.
Kwak, S. Lee and Y. Hyon,
A new finite element
for interface problems having Robin type jump.............................................................................................................................532
Z. Tan, W. Gong and N.
Yan,
Overlapping domain decomposition preconditioners
for unconstrained elliptic optimal control
problems ......................................................................550
S.
Karaa and A.K. Pani, A
posterior error estimates for mixed finite
element Galerkin approximations to second order
linear hyperbolic equations................................................... 571
X. Hu, L. Mu and X. Ye,
A simple finite element method of the Cauchy
problem for Poisson equation............................................................................................................................... 591
S. Adjerid, R. Guo and T. Lin,
High
degree immersed finite element spaces by a least
squares method...................................................................................................................
604
B.X. Gong, L. Ge, T.J. Sun, W.F. Shen and W.B.
Liu,
Stochastic spline-collocation method
for constrained optimal control problem governed
by random elliptic PDE.................627
S. C.
Brenner, L. Sung, Z. Wang and Y. Xu,
A finite element method for
the one-dimensional prescribed curvature problem................................................................ 646
B. Li and W. Sun,
Maximal $ L^p$ error analysis of FEMs for
nonlinear parabolic
equations with nonsmooth coefficients............................................................................... ...670
D.
Xie,
New finite element
iterative methods for solving a nonuniform ionic
size modified Poisson-Boltzmann equation................................................................................................688
Ph. Angot and Z. Li,
An augmented IIM & preconditioning technique for
jump embedded boundary conditions .............................................................................................................712
M.
Zhang and S. Zhang,
A 3D conforming-nonconforming mixed finite
element for solving
symmetric stress Stokes
equations....................................................................................... 730
J.
Wang and Z. Zhang,
A Hybridizable weak Galerkin method for. the
Helmholtz equation with large
wave number: hp analysis............................ ....................................................... 744
Z. Rong, J. Shen and H. Yu,
A
nodal sparse grid spectral element method
for
multi-dimensional elliptic partial
differential equations..........................................................
. 762
N. Ploymaklam, P.M. Kumbhar and A.K. Pani,
AA priori error analysis of the local
discontinuous Galerkin method for the viscous
Burgers-Poisson system
................................ 784
Volume 14, Number
6 (2017) ---
Contents
X. Tai and J. Duan,
Asimple
fast algorithm for minimization of the Elastica
energy
combining binary and level set representations........................................................................809
M.
Lin, T. Lin and H. Zhang,
Error analysis of an immersed finite element
method for
Euler-Bernoulli beam interface problems................................................................................822
K. Bartosz,
Variable time-step ϑ-scheme
for nonlinear second order evolution inclusion........................................ .......................................................................................842
B.P. Lamichhane,
A quadrilateral ‘mini’
finite element for the Stokes problem using a
single bubble function..................................................................................................................... 869
Y. Zhou and Q. Zou,
A novel adaptive finite volume method for
elliptic equations ...............879
T. Abdelhamid, X. Deng and R. Chen, A
new method for simultaneously reconstructing
the space-time dependent Robin coefficient and
heat flux in a parabolic system dimension.... .. 893
S. Peleˇs and S. Klus,
Sparse automatic differentiation for complex
networks of
ifferential-algebraic equations using abstract
elementary algebra..............................................916
O.L. Elvetun and B.F. Nielsen,
Preconditioners
for PDE-constrained optimization problems with
box constraints: Towards high resolution inverse
ECG images........................................
935
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