Some upwinding techniques for finite element approximations of convection-diffusion equations.
R.E. Bank, J.F. Bürgler, ... (1990/91)
Numerische Mathematik
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R.E. Bank, J.F. Bürgler, ... (1990/91)
Numerische Mathematik
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Rolf Rannacher (1984)
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Brandner, Marek, Knobloch, Petr
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There are many methods and approaches to solving convection--diffusion problems. For those who want to solve such problems the situation is very confusing and it is very difficult to choose the right method. The aim of this short overview is to provide basic guidelines and to mention the common features of different methods. We place particular emphasis on the concept of linear and non-linear stabilization and its implementation within different approaches.
Guo Ben Yu, A.R. Mitchell (1986)
Numerische Mathematik
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Viera Paulíny-Tothová (1966)
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Xavier Cabré, Joana Terra (2009)
Journal of the European Mathematical Society
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Hrabě, Jan
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An improved version of the Integrative Optical Imaging (IOI) method for diffusion measurements in a geometrically complex environment of the brain extracellular space has been developed. We present a theory for this Fast Optical Tracking Of Diffusion (FOTOD) which incorporates a time-dependent effective diffusion coefficient in homogeneous anisotropic media with time-dependent nonspecific linear clearance. FOTOD can be used to measure rapid changes in extracellular diffusion permeability...