Keyword

internal layers

Description: Internal layers are thin regions of rapid change within a domain, studied in singularly perturbed differential equations and related boundary-value problems.

Primary topic: Differential Equations and Numerical Methods (35%)

OpenAlex ID: keywords/internal-layers

A new finite element formulation for computational fluid dynamics: II. Beyond SUPG

1986 · Thomas J.R. Hughes, Michel Mallet, et al. · Computer Methods in Applied Mechanics and Engineering · 1,106

Dynamics of Internal Layers and Diffusive Interfaces

1988 · Paul C. Fife · Society for Industrial and Applied Mathematics eBooks · 298

The response of a turbulent boundary layer to a step change in surface roughness. Part 2. Rough-to-smooth

1972 · R. A. Antonia, R. E. Luxton · Journal of Fluid Mechanics · 194

A consistent approximate upwind Petrov-Galerkin method for convection-dominated problems

1988 · Augusto Cesar Galeão, Eduardo Gomes Dutra do Carmo · Computer Methods in Applied Mechanics and Engineering · 184

Layer Oscillations in Reaction-Diffusion Systems

1989 · Yasumasa Nishiura, Masayasu Mimura · SIAM Journal on Applied Mathematics · 140

Heat transfer in an electrically conducting fluid over a stretching surface

1992 · K. Vajravelu, D. Rollins · International Journal of Non-Linear Mechanics · 136

Anisotropic mesh optimization and its application in adaptivity

1997 · Gustavo C. Buscaglia, Enzo A. Dari · International Journal for Numerical Methods in Engineering · 132

High-order compact exponential finite difference methods for convection–diffusion type problems

2006 · Z.F. Tian, S.Q. Dai · Journal of Computational Physics · 123

A Second-Order Maximum Principle Preserving Finite Volume Method for Steady Convection-Diffusion Problems

2005 · Enrico Bertolazzi, Gianmarco Manzini · SIAM Journal on Numerical Analysis · 118

Isogeometric analysis with Powell–Sabin splines for advection–diffusion–reaction problems

2012 · Hendrik Speleers, Carla Manni, et al. · Computer Methods in Applied Mechanics and Engineering · 96

The accumulation pattern across Siple Dome, West Antarctica, inferred from radar-detected internal layers

2000 · N. A. Nereson, C. F. Raymond, et al. · Journal of Glaciology · 94

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Singularly perturbed problems with boundary and internal layers

2010 · A. B. Vasil’eva, V. F. Butuzov, et al. · Proceedings of the Steklov Institute of Mathematics · 93

The generation and propagation of internal layers

1988 · Paul C. Fife, Ling Hsiao · Nonlinear Analysis · 91

Numerical solution of reservoir flow models based on large time step operator splitting algorithms

2000 · Magne S. Espedal, Kenneth Hvistendahl Karlsen · Lecture notes in mathematics · 86

High-Altitude Radar Measurements of Ice Thickness Over the Antarctic and Greenland Ice Sheets as a Part of Operation IceBridge

2012 · Jilu Li, John Paden, et al. · IEEE Transactions on Geoscience and Remote Sensing · 82

On the exponentially slow motion of a viscous shock

1995 · Luis G. Reyna, Michael J. Ward · Communications on Pure and Applied Mathematics · 80

Driven inertial oscillations in spherical shells

1999 · A. Tilgner · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 76

A convolution model for interfacial motion: the generation and propagation of internal layers in higher space dimensions

1998 · Paul C. Fife, Xuefeng Wang · Advances in Differential Equations · 72

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Invariant Manifolds and Singularly Perturbed Boundary Value Problems

1994 · S.-K. Tin, N. Kopell, et al. · SIAM Journal on Numerical Analysis · 68

Phosphorus-Containing Dendrimers: Chemoselective Functionalization of Internal Layers

1998 · Christophe Larré,, Bruno Donnadieu, et al. · Journal of the American Chemical Society · 67

High-Fidelity Simulation of Turbulent Flow Past Gaussian Bump

2021 · Ali Uzun, Mujeeb R. Malik · AIAA Journal · 65

Numerical investigation of the turbulent boundary layer over a bump

1998 · XIAOHUA WU, KYLE D. SQUIRES · Journal of Fluid Mechanics · 64

Radar internal layers from the Greenland Summit

1995 · Robert W. Jacobel, Steven M. Hodge · Geophysical Research Letters · 64

High‐resolution radar mapping of internal layers at the North Greenland Ice Core Project

2001 · P. Kanagaratnam, S. P. Gogineni, et al. · Journal of Geophysical Research Atmospheres · 63

Singular Perturbations and Hysteresis

2005 · Society for Industrial and Applied Mathematics eBooks · 60

Works count: 503

Citation count: 6,736