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Keyword

interior layers

Description: Thin regions within a computational domain where a solution changes rapidly, commonly studied in differential equations and numerical analysis.
OpenAlex ID: keywords/interior-layers
A new finite element formulation for computational fluid dynamics: IV. A discontinuity-capturing operator for multidimensional advective-diffusive systems
1986 · Thomas J.R. Hughes, Michel Mallet · Computer Methods in Applied Mechanics and Engineering · 330
Numerical treatment of two‐parameter singularly perturbed parabolic convection diffusion problems with non‐smooth data
2018 · M. Chandru, P. Das, et al. · Mathematical Methods in the Applied Sciences · 130
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Flow structures of the benthic ocean
1980 · Laurence Armi, Eric D'Asaro · Journal of Geophysical Research Atmospheres · 122
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A numerical study of three moving-grid methods for one-dimensional partial differential equations which are based on the method of lines
1990 · R.M Furzeland, J.G Verwer, et al. · Journal of Computational Physics · 114
A numerical method for singularly perturbed turning point problems with an interior layer
2013 · F.Z. Geng, S.P. Qian, et al. · Journal of Computational and Applied Mathematics · 113
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A Numerical Method for Solving Boundary and Interior Layers Dominated Parabolic Problems with Discontinuous Convection Coefficient and Source Terms
2017 · M. Chandru, T. Prabha, et al. · Differential Equations and Dynamical Systems · 111
Global maximum norm parameter-uniform numerical method for a singularly perturbed convection-diffusion problem with discontinuous convection coefficient
2004 · P.A. Farrell, A.F. Hegarty, et al. · Mathematical and Computer Modelling · 99
A higher order hybrid-numerical approximation for a class of singularly perturbed two-dimensional convection-diffusion elliptic problem with non-smooth convection and source terms
2023 · Ram Shiromani, Vembu Shanthi, et al. · Computers & Mathematics with Applications · 94
Numerical solution of a singularly perturbed two-point boundary value problem using equidistribution: analysis of convergence
2000 · Y. Qiu, D.M. Sloan, et al. · Journal of Computational and Applied Mathematics · 90
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Development of Methods of Asymptotic Analysis of Transition Layers in Reaction–Diffusion–Advection Equations: Theory and Applications
2021 · N. N. Nefedov · Computational Mathematics and Mathematical Physics · 83
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Existence and asymptotic stability of periodic solutions with an interior layer of reaction–advection–diffusion equations
2013 · N.N. Nefedov, L. Recke, et al. · Journal of Mathematical Analysis and Applications · 78
An explicit cluster model for binary nuclei in water–alcohol systems
1991 · Ari Laaksonen, Markku Kulmala · The Journal of Chemical Physics · 76
Impact of mixed boundary conditions and nonsmooth data on layer‐originated nonpremixed combustion problems: Higher‐order convergence analysis
2024 · Shridhar Kumar, Ishwariya R, et al. · Studies in Applied Mathematics · 74
Fourier mode analysis of layers in shallow shell deformations
2001 · J. Pitkäranta, A.-M. Matache, et al. · Computer Methods in Applied Mechanics and Engineering · 66
A review on singularly perturbed differential equations with turning points and interior layers
2013 · Kapil K. Sharma, Pratima Rai, et al. · Applied Mathematics and Computation · 65
Local Error Estimates for SUPG Solutions of Advection-Dominated Elliptic Linear-Quadratic Optimal Control Problems
2010 · Matthias Heinkenschloss, Dmitriy Leykekhman · SIAM Journal on Numerical Analysis · 64
The Asymptotic Solution of a Class of Third-Order Boundary Value Problems Arising in the Theory of Thin Film Flows
1983 · F. A. Howes · SIAM Journal on Applied Mathematics · 64
Singularly perturbed parabolic problems with non-smooth data
2003 · E. O'Riordan, G.I. Shishkin · Journal of Computational and Applied Mathematics · 63
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A hybrid difference scheme for a singularly perturbed convection-diffusion problem with discontinuous convection coefficient
2005 · Zhongdi Cen · Applied Mathematics and Computation · 56
Uniform Convergence and Superconvergence of Mixed Finite Element Methods on Anisotropically Refined Grids
2000 · Jichun Li, Mary F. Wheeler · SIAM Journal on Numerical Analysis · 55
Parameter-Robust Numerical Scheme for Time-Dependent Singularly Perturbed Reaction–Diffusion Problem with Large Delay
2017 · Komal Bansal, Kapil K. Sharma · Numerical Functional Analysis and Optimization · 52
Fitted mesh method for singularly perturbed reaction-convection-diffusion problems with boundary and interior layers
2006 · V. Shanthi, N. Ramanujam, et al. · Journal of Applied Mathematics and Computing · 49
Solving of the coefficient inverse problems for a nonlinear singularly perturbed reaction-diffusion-advection equation with the final time data
2017 · D.V. Lukyanenko, M.A. Shishlenin, et al. · Communications in Nonlinear Science and Numerical Simulation · 48
An adaptive mesh strategy for singularly perturbed convection diffusion problems
2014 · Vivek Kumar, Balaji Srinivasan · Applied Mathematical Modelling · 47
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High-Order Finite Element Methods for Singularly Perturbed Elliptic and Parabolic Problems
1995 · Slimane Adjerid, Mohammed Aiffa, et al. · SIAM Journal on Applied Mathematics · 44
Works count: 598
Citation count: 5,488
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