Sign in
Author

Conference

Journal

Organization

Year

DOI
Look for results that meet for the following criteria:
since
equal to
before
between
and
Search in all fields of study
Limit my searches in the following fields of study
Agriculture Science
Arts & Humanities
Biology
Chemistry
Computer Science
Economics & Business
Engineering
Environmental Sciences
Geosciences
Material Science
Mathematics
Medicine
Physics
Social Science
Multidisciplinary
Keywords
(2)
Interface Problem
Maximum Principle
Related Publications
(10)
The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
The Immersed Int...
Euler calculations for multielement airfoils using Cartesian grids
A Fast Iterative Algorithm For Elliptic Interface Problems
The fast solution of Poisson''s and the biharmonic equations on irregular regions
Subscribe
Academic
Publications
Maximum principle preserving schemes for interface problems with discontinuous coe卤cients
Maximum principle preserving schemes for interface problems with discontinuous coe卤cients,Siam Journal on Scientific Computing,Z. Li,K. Ito
Edit
Maximum principle preserving schemes for interface problems with discontinuous coe卤cients
(
Citations: 25
)
BibTex

RIS

RefWorks
Download
Z. Li
,
K. Ito
Journal:
Siam Journal on Scientific Computing
, 2001
Cumulative
Annual
Citation Context
(21)
...Several extensions and improvements can be found in the references [1, 25,
26
]...
C.C. Chu
,
et al.
A new multiscale finite element method for highcontrast elliptic inte...
...The technique of minimizing the truncation error has been extended to develop higher order compact schemes [6] and for other application problems [4,
7
]. In these other approaches, the univariate Taylor series expansion is used to derive the nitedierence approximations of the individual derivative terms of the dierential equation and then coupled to obtain the numerical schemes for multiple spatial dimensions...
Yaw Kyei
,
et al.
A Family of SixthOrder Compact FiniteDifference Schemes for the Thre...
...Earlier such an optimization approach has been used to construct stencils for constant coe‐cient operators near an interface in [
26
] and its followup papers...
...This was done in [
26
] and after this the distance from some given stencil added with a weighted sum of squares of terms in the truncation error was minimized...
Kazufumi Ito
,
et al.
Lagrange Multiplier Approach with Optimized Finite Difference Stencils...
...The convergence and the stability of the IIM has been proved in [
15
, 16]...
Zhongyi Huang
.
Tailored finite point method for the interface problem
...The O(h) truncation error near the interface can be achieved using the immersed interface method of R. LeVeque and Z. Li [12,
14
, 13, 11, 15] or the related method of A. Mayo [17]; corrections are made to the dierence approximations based on jump conditions at the interface...
...For a Poisson problem it was proved in [3] that the solution obtained in this way is uniformly O(h2); see also [
14
, 21]...
J. Thomas Beale
.
Smoothing Properties of Implicit Finite Difference Methods for a Diffu...
Sort by:
Citations
(25)
A new multiscale finite element method for highcontrast elliptic interface problems
(
Citations: 6
)
C.C. Chu
,
I. G. Graham
,
T.Y. Hou
Journal:
Mathematics of Computation  Math. Comput.
, vol. 79, no. 272, pp. 19151955, 2010
A Family of SixthOrder Compact FiniteDifference Schemes for the ThreeDimensional Poisson Equation
Yaw Kyei
,
John Paul Roopy
,
Guoqing Tang
Journal:
Advances in Numerical Analysis
, vol. 2010, pp. 118, 2010
Lagrange Multiplier Approach with Optimized Finite Difference Stencils for Pricing American Options under Stochastic Volatility
(
Citations: 8
)
Kazufumi Ito
,
Jari Toivanen
Journal:
Siam Journal on Scientific Computing
, vol. 31, no. 4, pp. 26462664, 2009
Tailored finite point method for the interface problem
(
Citations: 3
)
Zhongyi Huang
Journal:
Networks and Heterogeneous Media  NETW HETEROG MEDIA
, vol. 4, no. 1, pp. 91106, 2009
Smoothing Properties of Implicit Finite Difference Methods for a Diffusion Equation in Maximum Norm
(
Citations: 1
)
J. Thomas Beale
Journal:
Siam Journal on Numerical Analysis  SIAM J NUMER ANAL
, vol. 47, no. 4, pp. 24762495, 2009