With cedram.org version française Home Presentation Advanced Search All online articles Latest articles Search for an article Table of contents for this volume | Previous article | Next article Philipp Grohs; Ralf Hiptmair; Simon PintarelliTensor-Product Discretization for the Spatially Inhomogeneous and Transient Boltzmann Equation in Two DimensionsSMAI-Journal of computational mathematics, 3 (2017), p. 219-248, doi: 10.5802/smai-jcm.26 Article PDF Class. Math.: 76J20, 76H05, 76P05, 82C40, 82D05, 65Y05, 65M60 AbstractWe consider the spatially inhomogeneous and nonlinear Boltzmann equation for the variable hard spheres model. The distribution function is discretized by a tensor-product ansatz by combining Maxwellian modulated Laguerre polynomials in velocity with continuous, linear finite elements in the spatial domain. The advection problem in phase space is discretized through a Galerkin least squares technique and yields an implicit formulation in time. 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