Some Error Estimates on the Large Jump Asymptotic Method for Parabolic Iterface Problems

Cun Yun Nie; Hai Yuan Yu

doi:10.4028/www.scientific.net/AMM.121-126.4726

Paper Titles

Simulation on Temperature Field of Gap Oil Film in Constant Flow Hydrostatic Center Frame
p.4706

Simulation Research of the Influence of Random Phase Disturbance on MVDR Beam Former
p.4711

Solving Intrinsic Parameters of Camera Calibrated from Controlled Motion Sequences and Homography
p.4716

The Network Traffic Management Based on Queuing Theory
p.4721

Some Error Estimates on the Large Jump Asymptotic Method for Parabolic Iterface Problems
p.4726

Structural Optimization Based on Static Design Criteria of a Long Span Mobile Bridge Using Genetic Algorithm
p.4732

Research on Touch Experience Design in Graphic Design
p.4742

Study on Bayesian Method for Life Distribution of Zero-Failure Data
p.4747

Study on Establishment of Helix Flute Mathematic Model of Solid Carbide End Mills
p.4753

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 121-126Some Error Estimates on the Large Jump Asymptotic...

Some Error Estimates on the Large Jump Asymptotic Method for Parabolic Iterface Problems

Abstract:

To approximate some problems with strongly discontinuous coefficients, we present the large jump asymptotic method for parabolic interface problems, focus on the derivation and proof of the asymptotic error estimates for our approximation, and show it is of order two. Numerical experiments verify the theoretical results.

You might also be interested in these eBooks

Frontiers of Manufacturing and Design Science II

View Preview

Info:

Periodical:

Applied Mechanics and Materials (Volumes 121-126)

Pages:

4726-4731

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.121-126.4726

Citation:

Cite this paper

Online since:

October 2011

Authors:

Cun Yun Nie, Hai Yuan Yu

Keywords:

Error Estimates, Large Jump Asymptotic Method, Parabolic Interface Problems

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] T. Shaw,M. Winston C.J. Ruup,I. Klapper,P. Stoodley, Commonality of elastic and relaxation times in biofilms, Phys. Rev. Lett., Vol. 93 (2004) 098102, pp.1-4.

DOI: 10.1103/physrevlett.93.098102

Google Scholar

[2] D.W. Peaceman, Fundamentals of numerical reservoir simulation, Elsevier, New York, (1997).

Google Scholar

[3] K.J. Binns P.J. Lawrenson C.W. Trowbridge, The analytical and numerical solution of electric and magnetic field, John Wiley and Sons, New York, (1992).

Google Scholar

[4] S. Hou X.D. Liu, A numerical method for solving variable coefficient elliptic equation with interfaces, J. Comput. Phys., Vol. 202 (2005), pp.411-445.

DOI: 10.1016/j.jcp.2004.07.016

Google Scholar

[5] D.Q. Yang, Finite elements for elliptic problems with wild coefficients, Math. Comput. Simulation, Vol. 54 (2000), pp.383-395.

DOI: 10.1016/s0378-4754(00)00177-4

Google Scholar

[6] G. Tryggvason, B, Bunner, A. Esmaeeli, etc, A front-tracking method for the computations of multiphase flow, J. Comput. Phys., Vol. 169 (2001), pp.708-759.

DOI: 10.1006/jcph.2001.6726

Google Scholar

[7] P.A. Berthelsen, A decomposed immersed interface method for variable coefficient elliptic equations with non-smooth and discontinuous solution, J. Comput. Phys., Vol. 197 (2004), pp.364-383.

DOI: 10.1016/j.jcp.2003.12.003

Google Scholar

[8] R.J. LeVeque, Z, Li, The immersed interface method for elliptic equations with discontinuous coefficient and singular sources, SIAM J. Numer. Anal., Vol. 31 (1994), pp.1019-1044.

DOI: 10.1137/0731054

Google Scholar

[9] Z, Li, A fast iterative algorithm for elliptic interface problems, SIAM J. Numer. Anal., Vol. 35 (1998), pp.230-254.

DOI: 10.1137/s0036142995291329

Google Scholar

[10] Klapper,T. shaw, A large jump asymptotic framework for solving elliptic and parabolic equtions with interfaces and strong coefficient discontinuities, Applied Numerical Mathematics, Vol. 57 (2007), pp.657-671.

DOI: 10.1016/j.apnum.2006.07.028

Google Scholar

[11] P.G. Ciarlet, The finite element method for elliptie problems, North-Holland, Amsterdam, New York, Oxford, (1978).

Google Scholar

[12] V. Thomjaee, Galerkin Finite Element Methods for parabolic problems, Springer-Verlag, (2003).

Google Scholar