On algorithms with good mesh properties for problems with moving boundaries based on the Harmonic Map Heat Flow and the DeTurck trick

SMAI Journal of Computational Mathematics ◽

10.5802/smai-jcm.12 ◽

2016 ◽

Vol 2 ◽

pp. 141-176 ◽

Author(s):

Charles M. Elliott ◽

Hans Fritz

Keyword(s):

Heat Flow ◽

Harmonic Map ◽

Moving Boundaries ◽

Harmonic Map Heat Flow ◽

Mesh Properties

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Transition of blow-up mechanisms in k-equivariant harmonic map heat flow

Nonlinearity ◽

10.1088/1361-6544/ab74f4 ◽

2020 ◽

Vol 33 (6) ◽

pp. 2756-2796

Author(s):

Paweł Biernat ◽

Yukihiro Seki

Keyword(s):

Heat Flow ◽

Blow Up ◽

Harmonic Map ◽

Harmonic Map Heat Flow

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A stochastic approach to the harmonic map heat flow on manifolds with time-dependent Riemannian metric

Stochastic Processes and their Applications ◽

10.1016/j.spa.2014.06.004 ◽

2014 ◽

Vol 124 (11) ◽

pp. 3535-3552 ◽

Author(s):

Hongxin Guo ◽

Robert Philipowski ◽

Anton Thalmaier

Keyword(s):

Heat Flow ◽

Harmonic Map ◽

Stochastic Approach ◽

Riemannian Metric ◽

Time Dependent ◽

Harmonic Map Heat Flow

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Harmonic map heat flow for axially symmetric data

manuscripta mathematica ◽

10.1007/bf02567639 ◽

1991 ◽

Vol 73 (1) ◽

pp. 207-228 ◽

Author(s):

Joseph F. Grotowski

Keyword(s):

Heat Flow ◽

Harmonic Map ◽

Axially Symmetric ◽

Harmonic Map Heat Flow

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Winding behaviour of finite-time singularities of the harmonic map heat flow *

Mathematische Zeitschrift ◽

10.1007/s00209-003-0582-3 ◽

2004 ◽

Vol 247 (2) ◽

pp. 279-302 ◽

Author(s):

Peter Topping

Keyword(s):

Heat Flow ◽

Finite Time ◽

Harmonic Map ◽

Time Singularities ◽

Harmonic Map Heat Flow

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Finite time blow-up for the harmonic map heat flow

Calculus of Variations and Partial Differential Equations ◽

10.1007/bf01191618 ◽

1993 ◽

Vol 1 (2) ◽

pp. 231-236 ◽

Author(s):

Joseph F. Grotowski

Keyword(s):

Heat Flow ◽

Finite Time ◽

Blow Up ◽

Harmonic Map ◽

Harmonic Map Heat Flow

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Harmonic map heat flow with free boundary

Commentarii Mathematici Helvetici ◽

10.1007/bf02566648 ◽

1991 ◽

Vol 66 (1) ◽

pp. 279-301 ◽

Author(s):

Ma Li

Keyword(s):

Heat Flow ◽

Free Boundary ◽

Harmonic Map ◽

Harmonic Map Heat Flow

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$${\mathcal{F}}$$ -stability of self-similar solutions to harmonic map heat flow

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-011-0461-4 ◽

2011 ◽

Vol 45 (3-4) ◽

pp. 347-366 ◽

Author(s):

Yongbing Zhang

Keyword(s):

Heat Flow ◽

Harmonic Map ◽

Harmonic Map Heat Flow ◽

Self Similar ◽

Similar Solutions

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THE FORMATION OF SINGULARITIES IN THE HARMONIC MAP HEAT FLOW WITH BOUNDARY CONDITIONS

Taiwanese Journal of Mathematics ◽

10.11650/twjm/1500406433 ◽

2011 ◽

Vol 15 (5) ◽

pp. 2245-2264

Author(s):

Chi-Cheung Poon

Keyword(s):

Heat Flow ◽

Boundary Conditions ◽

Harmonic Map ◽

Harmonic Map Heat Flow

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Discrete harmonic map heat flow on a finite graph

Harmonic Maps and Differential Geometry - Contemporary Mathematics ◽

10.1090/conm/542/10699 ◽

2011 ◽

pp. 75-83

Author(s):

P. Baird ◽

M. Wehbe

Keyword(s):

Heat Flow ◽

Harmonic Map ◽

Finite Graph ◽

Harmonic Map Heat Flow

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Global existence of Landau–Lifshitz–Gilbert equation and self-similar blowup of Harmonic map heat flow on S2

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2020.02.002 ◽

2020 ◽

Vol 174 ◽

pp. 1-18 ◽

Author(s):

Penghong Zhong ◽

Ganshan Yang ◽

Xuan Ma

Keyword(s):

Heat Flow ◽

Global Existence ◽

Harmonic Map ◽

Harmonic Map Heat Flow ◽

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