Numerical analysis of a nonlocal parabolic problem resulting from thermistor problem
نویسندگان
چکیده
منابع مشابه
Numerical analysis of a nonlocal parabolic problem resulting from thermistor problem
We analyze the spatially semidiscrete piecewise linear finite element method for a nonlocal parabolic equation resulting from thermistor problem. Our approach is based on the properties of the elliptic projection defined by the bilinear form associated with the variational formulation of the finite element method. We assume minimal regularity of the exact solution that yields optimal order erro...
متن کاملNumerical analysis of a nonlocal parabolic problem resulting from thermistor problem ∗ Moulay
We analyze the spatially semidiscrete piecewise linear finite element method for a nonlocal parabolic equation resulting from thermistor problem. Our approach is based on the properties of the elliptic projection defined by the bilinear form associated with the variational formulation of the finite element method. We assume minimal regularity of the exact solution that yields optimal order erro...
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where u represents the temperature generated by the electric current flowing through a conductor, φ the electric potential, σ(u) and k(u) are, respectively, the electric and thermal conductivities. For more description, we refer to [5, 6, 7, 8, 11] among others. We recall also that the Euler forward method was used by several authors to treat semidiscretization of nonlinear parabolic problems, ...
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ژورنال
عنوان ژورنال: Mathematics and Computers in Simulation
سال: 2008
ISSN: 0378-4754
DOI: 10.1016/j.matcom.2007.08.013