Results 151 to 160 of about 72,566 (178)

Permeability of interfaces with alternating pores in parabolic problems

Asymptotic Analysis, 2012
We study a parabolic problem set in a domain divided by a perforated interface. The pores alternate between an open and a closed state, periodically in time. We consider the asymptotics of the solution for vanishingly small size of the pores and time period.
ANDREUCCI, Daniele, BELLAVEGLIA, DARIO
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Difference schemes for a general parabolic problem with interface

PAMM, 2006
AbstractStability and convergence of finite difference schemes approximating a general parabolic partial differential equation with interface are examined. Convergence rate estimates compatible with the smoothness of the input data are obtained. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Boško S. Jovanović, Lubin G. Vulkov
openaire   +1 more source

Energy methods for a parabolic-hyperbolic interface problem arising in electromagnetism

ZAMP Zeitschrift f�r angewandte Mathematik und Physik, 1988
The authors are concerned with weak solutions of the following \(problem:\) \(\sigma\) \(u_ t=\Delta u+f(x,t)\) on \(\Omega^-\), \(\beta u_{tt}=\Delta u+g(x,t)\) on \(\Omega^+\), \(u^-=u^+\), \(u_ n^-=u_ n^+\) on \(\partial \Omega^-\), \(u(x,0)=U_ 0(x)\), \(x\in R^ 2\); \(u_ t(x,0)=U_ 1(x)\), \(x\in \Omega^+,\) where \(\sigma\), \(\beta\) are positive ...
Al-Droubi, Akram, Renardy, Michael
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Second‐order treatment of the interface of domain decomposition method for parabolic problems

Numerical Linear Algebra with Applications, 2010
AbstractEstimations for the values on interface lines are necessary in a domain decomposition method. However, the accuracy of the estimations is of the first order for most of unconditionally stable domain decomposition schemes. In this paper, a second order of accuracy for the estimations on interface lines is presented.
Younbae Jun, Tsun-Zee Mai
openaire   +1 more source

Local discontinuous Galerkin method for parabolic interface problems

Acta Mathematicae Applicatae Sinica, English Series, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Zhi-juan, Yu, Xi-jun
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A Rothe-Immersed Interface Method for a Class of Parabolic Interface Problems

2005
A technique combining the Rothe method with the immersed interface method (IIM) of R. Leveque and Z. Li, [8] for numerical solution of parabolic interface problems in which the jump of the flux is proportional to a given function of the solution is developed. The equations are discretized in time by Rothe's method. The space discretization on each time
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A type of efficient multigrid method for semilinear parabolic interface problems

Communications in Nonlinear Science and Numerical Simulation
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fan Chen, Ming Cui, Chenguang Zhou
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A second order time-stepping scheme for parabolic interface problems with moving interfaces

ESAIM: Mathematical Modelling and Numerical Analysis, 2017
The paper is concerned with the analysis of a time discretization scheme for parabolic problems with discontinuous diffusion coefficients and moving domains and interfaces. For time discretization the authors use the Galerkin method with continuous piecewise linear trial functions and discontinuous piecewise constant test functions and they apply the ...
Frei, Stefan, Richter, Thomas
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An unfitted finite-element method for elliptic and parabolic interface problems

IMA Journal of Numerical Analysis, 2006
A finite-element discretization, independent of the location of the interface, is proposed and analysed for linear elliptic and parabolic interface problems. We establish error estimates of optimal order in the H 1 -norm and almost optimal order in the L 2 -norm for elliptic interface problems.
R. K. Sinha, B. Deka
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Finite element methods and their convergence for elliptic and parabolic interface problems

Numerische Mathematik, 1998
The finite element method for solving second-order both elliptic and parabolic interface problems is studied. It is proved that the method converges as the usual non-interface elliptic and parabolic problems, both for the energy-norm and the \(L\)-norm.
Chen, Zhiming, Zou, Jun
openaire   +2 more sources