Results 1 to 10 of about 25,762 (77)

Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps [PDF]

, 2013
Coarse spaces are instrumental in obtaining scalability for domain decomposition methods for partial differential equations (PDEs). However, it is known that most popular choices of coarse spaces perform rather weakly in the presence of heterogeneities ...
AV Knyazev, C Chevalier, C. Pechstein, CR Dohrmann, CR Dohrmann, F Nataf, F. Nataf, IG Graham, J Galvis, J Galvis, J Mandel, M Dryja, M Dryja, Maksymilian Dryja, N Spillane, N. Spillane, P. Hauret, PS Vassilevski, R Scheichl, R Scheichl, R. Scheichl, T Chartier, V Dolean, V Dolean, V. Dolean   +24 more
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A Variational Stereo Method for the Three-Dimensional Reconstruction of Ocean Waves [PDF]

, 2011
We develop a novel remote sensing technique for the observation of waves on the ocean surface. Our method infers the 3-D waveform and radiance of oceanic sea states via a variational stereo imagery formulation.
Benetazzo, Alvise, Fedele, Francesco, Gallego Bonet, Guillermo, Yezzi, Anthony   +3 more
core   +3 more sources

Analysis of the shearing instability in nonlinear convection and magnetoconvection [PDF]

, 1996
Numerical experiments on two-dimensional convection with or without a vertical magnetic field reveal a bewildering variety of periodic and aperiodic oscillations.
A M Rucklidge, Arnéodo A, Beyn W-J, Brownjohn D P, Brummell N, Champneys A R, Chandrasekhar S, Chui A Y K, Deardorff J W, Dellnitz M, Doedel E, Glendinning P, Glendinning P, Glendinning P, Glendinning P, Golubitsky M, Guckenheimer J, Howard L N, Hughes D W, Knobloch E, Krishnamurti R, Lythe G D, Massaguer J M, Matthews P C, Matthews P C, Moore D R, P C Matthews, Proctor M R E, Proctor M R E, Proctor M R E, Proctor M R E, Rucklidge A M, Rucklidge A M, Rucklidge A M, Rucklidge A M, Rucklidge A M, Rüdiger G, Shil'nikov A L, Sparrow C, Tabeling P, Weiss N O, Willis G E   +41 more
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Cycling chaos: its creation, persistence and loss of stability in a model of nonlinear magnetoconvection [PDF]

, 1998
We examine a model system where attractors may consist of a heteroclinic cycle between chaotic sets; this ‘cycling chaos’ manifests itself as trajectories that spend increasingly long periods lingering near chaotic invariant sets interspersed with short ...
A.M. Rucklidge, Alexander, Ashwin, Ashwin, Ashwin, Ashwin, Barreto, Chow, Covas, Dellnitz, Field, Guckenheimer, Knobloch, Krupa, Matthews, Milnor, Milnor, Ott, Peter Ashwin, Platt, Press, Rucklidge, Rucklidge, Sigmund   +23 more
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Quadratic BSDEs with Singular Generators and Unbounded Terminal Conditions: Theory and Applications

Mathematics
We investigate a class of quadratic backward stochastic differential equations (BSDEs) with generators that are singular in y. First, we establish the existence of solutions and a comparison theorem, thereby extending the existing results in the ...
Wenbo Wang, Guangyan Jia
doaj   +1 more source

Finite element methods for surface PDEs [PDF]

, 2013
In this article we consider finite element methods for approximating the solution of partial differential equations on surfaces. We focus on surface finite elements on triangulated surfaces, implicit surface methods using level set descriptions of the ...
Aragón, Barrett, Barrio, Charles M. Elliott, Ciarlet, Deckelnick, Deckelnick, Dedner, Dziuk, Dziuk, Elliott, Evans, Ganesan, Gerhard Dziuk, Gilbarg, Henderson, Lowengrub, Lubich, Macdonald, Rumpf, Schmidt, Sethian   +21 more
core   +1 more source

Additive domain decomposition operator splittings -- convergence analyses in a dissipative framework

, 2016
We analyze temporal approximation schemes based on overlapping domain decompositions. As such schemes enable computations on parallel and distributed hardware, they are commonly used when integrating large-scale parabolic systems.
Hansen, Eskil, Henningsson, Erik
core   +1 more source

A stabilized radial basis-finite difference (RBF-FD) method with hybrid kernels

, 2018
Recent developments have made it possible to overcome grid-based limitations of finite difference (FD) methods by adopting the kernel-based meshless framework using radial basis functions (RBFs). Such an approach provides a meshless implementation and is
Fasshauer, Gregory E, Ling, Leevan, Mishra, Pankaj K, Sen, Mrinal K   +3 more
core   +1 more source

Variational Multiscale Stabilization and the Exponential Decay of Fine-scale Correctors [PDF]

, 2015
This paper addresses the variational multiscale stabilization of standard finite element methods for linear partial differential equations that exhibit multiscale features. The stabilization is of Petrov-Galerkin type with a standard finite element trial
A. Abdulle, A. Abdulle, A. Målqvist, A. Målqvist, A. Målqvist, C. Carstensen, C. Makridakis, D. Elfverson, D. Elfverson, D. Elfverson, D. Gallistl, D. Peterseim, D.B. Szyld, G. Rozza, H. Owhadi, H. Wu, I. Babuska, I. Babuška, J.A. Cottrell, J.A. Cottrell, J.M. Melenk, J.M. Melenk, J.M. Melenk, L. Demkowicz, L. Grasedyck, L.R. Scott, M.G. Larson, M.G. Larson, O. Cessenat, P. Cummings, P. Henning, P. Henning, P. Henning, P. Henning, R. Hiptmair, R. Tezaur, T. Betcke, T. Hughes, T.J.R. Hughes, T.J.R. Hughes, U. Hetmaniuk, X. Feng   +41 more
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Thermal and mass transfer prediction of Casson based nanofluid flow over an exponential stretching sheet using a Multi-Task Neural Network approach

International Journal of Thermofluids
The precise forecasting of thermal and mass transportation properties in a non-Newtonian nanofluid circulation is vital for the design and development of efficient thermal management systems, especially in micro-scale electronic devices, polymer ...
S Raghu, K.M Niranjan, Venkanagouda M Goudar, N Neelima, K Vinutha, J.K Madhukesh   +5 more
doaj   +1 more source