Results 161 to 170 of about 72,566 (178)

A Fictitious Domain Method with Distributed Lagrange Multiplier for Parabolic Problems With Moving Interfaces

Journal of Scientific Computing, 2016
The fictitious domain method with distributed Lagrange multipliers is applied for numerical solution of parabolic problems with moving interfaces and discontinuous viscosity coefficient. The fictitious domain weak form is shown to be equivalent to the standard weak form of the parabolic interface problem. The backward difference formula is used for the
Cheng Wang 0011, Pengtao Sun
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Finite element methods for semilinear elliptic and parabolic interface problems

Applied Numerical Mathematics, 2009
The authors discuss piecewise linear finite element methods for second-order elliptic and parabolic interface problems in two dimensional domains with jumps of coefficients at smooth interfaces lying on the grid. They prove optimal order convergence for the elliptic problem and extend the result to parabolic interface problems, where a semidiscrete and
Sinha, Rajen K., Deka, Bhupen
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An elliptic-parabolic free boundary problem: continuity of the interface

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1987
SynopsisIn this paper we establish continuity of the interface of the weak solution to an elliptic-parabolic problem. The physical background is the theory of partially saturated fluid flows in porous media. Our method is based on the maximum principle for parabolic equations. An essential assumption is that the flow is one-dimensional.
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Numerical Methods for Parabolic-Elliptic Interface Problems

2019
In this thesis, we consider the numerical approximation of parabolic-elliptic interface problems with variants of the non-symmetric coupling method of MacCamy and Suri [Quart.Appl. Math., 44 (1987), pp. 675–690]. In particular, we look at the coupling of the Finite Element Method (FEM) and the Boundary Element Method (BEM) for a basic model problem and
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Asymptotic analysis of a parabolic problem with a rough interface

2018
International ...
Donato, Patrizia, Jose, Editha C., Onofrei, Daniel   +2 more
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Linearly implicit BDF methods for nonlinear parabolic interface problems

BIT Numerical Mathematics, 2016
This paper is concerned with numerical methods for the time discretization of a nonlinear parabolic interface problem, where the computational domain is divided into two subdomains by an interface, and the nonlinear diffusion coefficient is discontinuous across that interface.
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Regular Analysis of a Class of Parabolic Interface Problems

Advances in Applied Mathematics, 2023
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Lagrange multiplier method with penalty for elliptic and parabolic interface problems

Journal of Applied Mathematics and Computing, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A discontinuity-capturing PINN for parabolic interface problems

Computers & Mathematics with Applications
Rajendra Kumar, B. V. Rathish Kumar
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A Monolithic Arbitrary Lagrangian–Eulerian Finite Element Analysis for a Stokes/Parabolic Moving Interface Problem

Journal of Scientific Computing, 2020
Rihui Lan, Pengtao Sun
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