Displaying similar documents to “A finite element method for a two point boundary value problem with a small parameter affecting the highest derivative”

On source terms and boundary conditions using arbitrary high order discontinuous Galerkin schemes

Michael Dumbser, Claus-dieter Munz (2007)

International Journal of Applied Mathematics and Computer Science

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This article is devoted to the discretization of source terms and boundary conditions using discontinuous Galerkin schemes with an arbitrary high order of accuracy in space and time for the solution of hyperbolic conservation laws on unstructured triangular meshes. The building block of the method is a particular numerical flux function at the element interfaces based on the solution of Generalized Riemann Problems (GRPs) with piecewise polynomial initial data. The solution of the generalized...

Approximation of a solidification problem

Rajae Aboulaïch, Ilham Haggouch, Ali Souissi (2001)

International Journal of Applied Mathematics and Computer Science

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A two-dimensional Stefan problem is usually introduced as a model of solidification, melting or sublimation phenomena. The two-phase Stefan problem has been studied as a direct problem, where the free boundary separating the two regions is eliminated using a variational inequality (Baiocchi, 1977; Baiocchi et al., 1973; Rodrigues, 1980; Saguez, 1980; Srunk and Friedman, 1994), the enthalpy function (Ciavaldini, 1972; Lions, 1969; Nochetto et al., 1991; Saguez, 1980), or a control problem...