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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 6 (2009)
(all papers can
be downloaded at the page numbers)
Volume 6, Number 1 (2009) ---
Contents
J.
Karatson and S. Korotov, Discrete
maximum principles for FEM solutions of some
nonlinear elliptic interface problems...........................................................................................1
T. Feng, M. Gulliksson
and W. Liu, Adaptive
finite element methods for parameter estimation
problems in linear elasticity
.................................................................................... 17
P.
Bates, S. Brown and J. Han,
Numerical analysis for a nonlocal Allen-Cahn
equation....... .33
M.
Asch and S. Mefire,
Using reduced meshes for simulation of the
localization of small electromagnetic
inhomogeneities in a 3D bounded domain....................................................... 50
J. Kacur and M. Mahmood, Galerkin
characteristics method for convection-diffusion
problems with memory terms..................................................................................................89
K. Zhang and S. Wang, A
computational scheme for option under jump
diffusion
processes............................................................................................................................. 110
Z.
Chen,
Convergence of the time-domain perfectly matched
layer method for acoustic scattering
problems ............................................................................................................. 124
D.
Sun, Q. Hu and S. Shu, A domain
decomposition method with Lagrange multiplier
based on the pointwise matching
condition............................................................................ 147
G.
Wang and X. Yang,
Numerical modeling of dual variational
inequalities of unilateral contact
problems using the mixed finite element method......................................................... 161
Volume 6, Number
2 (2009) ---
Contents
B. Lamichhane, Mortar
finite elements for coupling compressible and
nearly incompressible
materials in elasticity ............................................................................................................177
H.
Fahs, Development of a hp-like
discontinuous Galerkin time-domain method on
non-conforming simplicial meshes for
electromagnetic wave propagation
...............................193
K.
Wang and H. Wang, An
optimal-order error estimate to the modified
method of
characteristics for a degenerate
convection-diffusion equation ............................................... 217
F. Zhai and L. Cao,
Multiscale asymptotic method for heat transfer
equations in
lattice-type structures............................................................................................................232
Y.
Cao, Z. Chen and M. Gunzburger, ANOVA
expansions and efficient sampling methods
for parameter dependent nonlinear PDES .............................................................................256
B. Stehlikova and D.
Sevcovic,
Approximate formulae for pricing zero-coupon
bonds and
their asymptotic analysis................................................................................................274
R.
Gao, J. Song and X. Tai, Image
zooming algorithm based on partial differential
equations technique..............................................................................................................................284
D. Shi and J. Ren,
Nonconforming mixed finite element method for
the stationary
conduction-convection problem
........................................................................................... 293
N. Chumchob and K. Chen, A
robust affine image registration method............................... 311
L.
Ge, W. Liu and D. Yang, L^2 norm
equivalent a posteriori error estimate
for a constrained optimal control problem..............................................................................335
Volume 6, Number
3 (2009) ---
Contents
Dedicated to Professor Roland Glowinski on
the occasion of his 70th Birthday
Foreword
by Z. Chen, K. Li and T. Pan ................................ i
A.
Caboussat, R. Glowinski and V. Pons, Numerical
methods for non-smooth L^1
optimization: applications to free surface flows
and image denoising .......................................355
Z. Chen and Y. Zhang, Well
flow models for various numerical methods
............................375
X. Feng and M. Yoon, Finite
element approximation of the Gradient flow for a
class of linear
growth energies with applications to color image
denoising
...........................................389
A. Caboussat and R. Glowinski, Numerical
solution of a non-smooth variational
problem arising in stress analysis: The scalar
case ................................................................. 402
K. Li and D. Liu, Dimension
splitting method for 3D rotating compressible
Navier-Stokes equations in the turbomachinery
........................................................................................... 420
R.
Glowinski, P. Lin and X. Pan, A
three-stage operator-splitting/finite element
method
for the numerical simulation of liquid crystal
flow.................................................................... 440
T.
Pan and T. Wang Dynamical
simulation of red blood cell rheology in
microvessels.......... 455
K. Qamhieh, K. Wong, G. Lynch and B. Pettitt, The
melting mechanism of DNA
tethered to a surface ............................................................................................................ 474
M. Fluck, T. Hofer, M. Picasso, J. Rappaz and G.
Steiner, Scientific
computing for
aluminum production ............................................................................................................ 489
L. Shen, J. Li and Z. Chen, Analysis
of stabilized finite volume method for the
transient Stokes equations
................................................................................................................. 505
T.
Li, Mechanism
of the formation of singularities for
quasilinear hyperbolic systems
............ 520
Volume 6, Number
4 (2009) ---
Contents
J. Proft and B. Riviere, Discontinuous
Galerkin methods for convection-diffusion
equations for varying and vanishing
diffusivity
....................................................................................... 533
W.
Chen, S. Wong, C. Shu and P. Zhang, Front
tracking algorithm for the
Lighthill-Whiteham-Richards traffic flow model
with a piecewise quadratic, continuous,
non-smooth, and
non-concave fundamental diagram
................................................................................562
L.
Wang, J. Hong, R. Scherer and F. Bai, Dynamics
and variational integrators of stochastic Hamiltonian
systems.............................................................................................. 586
J.
Fernandez and P. Hild, A
residual a posteriori error estimator
for elasto-vascoplasticity
......................................................................................................603
Y.
Yang, F. Lin and Z. Zhang, N-simplex
Crouzeix-Riviart element for the second order
elliptic/eigenvalue
problems................................................................................................... 615
M.
Hanslien, R. Artebrant, J. Sundnes and A. Tveito, An
unconditionally stable second order method for
the Luo-Rudy 1 model used in simulations of
defibrillation
..........................627
H.
Lee and D. Sheen, Laplace
transformation method for the Black-Scholes
equation ....... 642
G.
Zhao, M. Song and M. Liu, Numerical
solutions of stochastic differential delay
equations with jumps
...........................................................................................................659
N.
Kopteva, M. Pickett and H. Purtill A
robust overlapping Schwarz method for
a singularly perturbed semilinear
reaction-diffusion problem with multiple
solutions
................. 680
Q.
Huang and H. Xie, Superconvergence
of Galerkin solutions for Hammerstein
equations
.............................................................................................................................696
J. Li, J. Wang and X. Ye, Superconvergence
by L^2-projections for stabilized finite
element methods for the Stokes equations
i........................................................................... 711
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