Found 6 document(s)
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We present two dimensional numerical simulations of a natural convection problem in an unbounded domain. A thermal stratification is applied in the vertical direction and the flow circulation is induced by a heat island ...
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We derive a mathematical model for eddy currents in two dimensional geometries where the conductors are thin domains. We assume that the current flows in the $x_3$-direction and the inductors are domains with small diame...
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We present a numerical method based on a level set formulation to solve the Bernoulli problem. The formulation uses time as a parameter of boundary evolution. The level set formulation enables to consider nonconnected do...
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We present an object oriented finite element library written in C++. We outline the main motivations in developing such a library. Through a simple example program we show a typical use of the library. We describe the ma...
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We study the asymptotic behaviour of the inductance coefficient for a thin toroidal inductor whose thickness depends on a small parameter $\eps>0$. We give an explicit form of the singular part of the corresponding poten...
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We present a mesh adaptation method by node movement for two-dimensional linear elasticity problems with unilateral contact. The adaptation is based on a hierarchical estimator on finite element edges and the node displa...