Local Mesh Adaptation in Two Space Dimensions

1993 ◽  
Vol 5 (4) ◽  
pp. 309-317 ◽  
Author(s):  
Daniel Hempel
Keyword(s):  
Mesh Adaptation ◽  
Two Space Dimensions

Application of parallel anisotropic mesh adaptation for solving monodomain cardiac model

2021 ◽  
Author(s):  
Youssef Belhamadia ◽  
Thomas Briffard ◽  
André Fortin
Keyword(s):  
Mesh Adaptation ◽  
Anisotropic Mesh ◽  
Cardiac Model ◽  
Anisotropic Mesh Adaptation

scholarly journals Approximation and Support Theorem for a Wave Equation in Two Space Dimensions

Bernoulli ◽  
2000 ◽  
Vol 6 (5) ◽  
pp. 887 ◽  
Author(s):  
Annie Millet ◽  
Marta Sanz-Solé ◽  
Marta Sanz-Sole
Keyword(s):  
Wave Equation ◽  
Support Theorem ◽  
Two Space Dimensions

scholarly journals ENERGY CRITICAL NLS IN TWO SPACE DIMENSIONS

2009 ◽  
Vol 06 (03) ◽  
pp. 549-575 ◽  
Author(s):  
J. COLLIANDER ◽  
S. IBRAHIM ◽  
M. MAJDOUB ◽  
N. MASMOUDI
Keyword(s):  
Schrödinger Equation ◽  
Initial Value Problem ◽  
Schrodinger Equation ◽  
Nonlinear Schrodinger Equation ◽  
Energy Space ◽  
Well Posedness ◽  
Initial Value ◽  
Exponential Nonlinearity ◽  
Supercritical Case ◽  
Two Space Dimensions

We investigate the initial value problem for a defocusing nonlinear Schrödinger equation with exponential nonlinearity [Formula: see text] We identify subcritical, critical, and supercritical regimes in the energy space. We establish global well-posedness in the subcritical and critical regimes. Well-posedness fails to hold in the supercritical case.

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