Results 11 to 20 of about 72,566 (178)
On the Nonsymmetric Coupling Method for Parabolic-Elliptic Interface Problems [PDF]
SIAM Journal on Numerical Analysis, 2018 We consider the numerical approximation of parabolic-elliptic interface problems by the non-symmetric coupling method of MacCamy and Suri [Quart. Appl. Math., 44 (1987), pp. 675--690]. We establish well-posedness of this formulation for problems with non-smooth interfaces and prove quasi-optimality for a class of conforming Galerkin approximations in ...
Herbert Egger +2 more
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Finite difference schemes with transferable interfaces for parabolic problems
Journal of Computational Physics, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sofia Eriksson, Jan Nordström
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Mathematics, 2023 The basic model motivating this work is that of contaminant transport in the Earth’s subsurface, which contains layers in which analytical and semi-analytical solutions of the corresponding advection–dispersion equations could be derived. Then, using the
Miglena N. Koleva, Lubin G. Vulkov
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Научный вестник МГТУ ГА, 2021 The article investigates the problem of hydro-elastic interaction of a weak shock wave with a rigid nosed rotation shell preloaded with axial forces. The shell is enclosed in a rigid parabolic screen, i.e.
I. K. Turkin, D. A. Rogov, V. A. Grachev
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A numerical method for a stefan-type problem
Mathematical Modelling and Analysis, 2011 A Stefan-type problem is considered. This is an initial-boundary value problem on a composite domain for a parabolic reaction-diffusion equation with a moving interface boundary.
G. Shishkin, L. Shishkina, K. Cronin
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Anomalous Dynamics of Recalescence Front in Crystal Growth Processes: Theoretical Background
Crystals, 2022 A theory for crystal nucleation and growth with the recalescence front is developed. The theory is based on the saddle-point technique for evaluating a Laplace-type integral as well as the small parameter method for solving the moving boundary heat ...
Dmitri V. Alexandrov +2 more
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Crystals, 2022 In this paper, we derive the boundary integral equation (BIE), a single integrodifferential equation governing the evolutionary behavior of the interface function, paying special attention to the nonlinear liquidus equation and atomic kinetics.
Ekaterina A. Titova +2 more
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Phase-Field Model of Cell Motility: Traveling Waves and Sharp Interface Limit [PDF]
, 2016 This letter is concerned with asymptotic analysis of a PDE model for motility of a eukaryotic cell on a substrate. This model was introduced in [1], where it was shown numerically that it successfully reproduces experimentally observed phenomena of cell ...
Berlyand, Leonid +2 more
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Discontinuous Galerkin Methods for Mass Transfer through Semi-Permeable Membranes [PDF]
, 2013 A discontinuous Galerkin (dG) method for the numerical solution of initial/boundary value multi-compartment partial differential equation (PDE) models, interconnected with interface conditions, is presented and analysed.
Cangiani, Andrea +2 more
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Spherically symmetric solutions to a model for phase transitions driven by configurational forces [PDF]
, 2011 We prove the global in time existence of spherically symmetric solutions to an initial-boundary value problem for a system of partial differential equations, which consists of the equations of linear elasticity and a nonlinear, non-uniformly parabolic ...
Ou, Yaobin, Zhu, Peicheng
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