Recent articles in ESAIM: Mathematical Modelling and Numerical Analysis

Recent articles in ESAIM: Mathematical Modelling and Numerical Analysis http://www.edpsciences.org/m2an Contents of the last issue of ESAIM: Mathematical Modelling and Numerical Analysis weekly 1 2008-08-18T13:18:26Z EDP Sciences Copyright (c) 2008 Copyright (c) 2008 1290-3841 ESAIM: Mathematical Modelling and Numerical Analysis Convergence of implicit Finite Volume methods for scalar conservation laws with discontinuous flux function http://www.edpsciences.org/10.1051/m2an:2008023 Authors: Sébastien Martin and Julien Vovelle ESAIM: M2AN 42, 699 (2008) Received May 24, 2007. Revised December 4, 2007 and February 28, 2008. Published online July 4, 2008. Keywords: Finite Volume scheme, conservation law, discontinuous flux. Convergence of implicit Finite Volume methods for scalar conservation laws with discontinuous flux function Sébastien Martin Julien Vovelle Finite Volume scheme conservation law discontinuous flux. 35L65 76M12. 2008-08-18T13:18:26Z text/html doi:10.1051/m2an:2008023 ESAIM: M2AN 42, 699 abstract 5 1219065506 ESAIM: Mathematical Modelling and Numerical Analysis Article 699 42 A variational model in image processing with focal points http://www.edpsciences.org/10.1051/m2an:2008024 Authors: Andrea Braides and Giuseppe Riey ESAIM: M2AN 42, 729 (2008) Received June 6, 2007. Revised January 12, 2008. Published online July 4, 2008. Keywords: \Gamma-convergence, curvature functionals, segmentation problems, image processing. A variational model in image processing with focal points Andrea Braides Giuseppe Riey \Gamma-convergence curvature functionals segmentation problems image processing. 68U10 94A08 49J45. 2008-08-18T13:18:26Z text/html doi:10.1051/m2an:2008024 ESAIM: M2AN 42, 729 abstract 5 1219065506 ESAIM: Mathematical Modelling and Numerical Analysis Article 729 42 The hp-version of the boundary element method with quasi-uniform meshes in three dimensions http://www.edpsciences.org/10.1051/m2an:2008025 Authors: Alexei Bespalov and Norbert Heuer ESAIM: M2AN 42, 821 (2008) Received October 16, 2007. Published online July 4, 2008. Keywords: hp-version with quasi-uniform meshes, boundary element method, singularities. The hp-version of the boundary element method with quasi-uniform meshes in three dimensions Alexei Bespalov Norbert Heuer hp-version with quasi-uniform meshes boundary element method singularities. 41A10 65N15 65N38. 2008-08-18T13:18:26Z text/html doi:10.1051/m2an:2008025 ESAIM: M2AN 42, 821 abstract 5 1219065506 ESAIM: Mathematical Modelling and Numerical Analysis Article 821 42 The change in electric potential due to lightning http://www.edpsciences.org/10.1051/m2an:2008026 Authors: William W. Hager and Beyza Caliskan Aslan ESAIM: M2AN 42, 887 (2008) Received September 28, 2007. Revised March 16, 2008. Published online July 4, 2008. Keywords: Lightning, electric potential, Ampere's law, Maxwell's equations, Laplacian, generalized eigenproblem, double layer potential, complete eigenbasis. The change in electric potential due to lightning William W. Hager Beyza Caliskan Aslan Lightning electric potential Ampere's law Maxwell's equations Laplacian generalized eigenproblem double layer potential complete eigenbasis. 35J25 35Q60 35A20 35P10. 2008-08-18T13:18:26Z text/html doi:10.1051/m2an:2008026 ESAIM: M2AN 42, 887 abstract 5 1219065506 ESAIM: Mathematical Modelling and Numerical Analysis Article 887 42 Numerical simulation of blood flows through a porous interface http://www.edpsciences.org/10.1051/m2an:2008031 Authors: Miguel A. Fernández, Jean-Frédéric Gerbeau and Vincent Martin ESAIM: M2AN PREPRINT, (2008) Received February 5, 2007. Published online August 12, 2008. Keywords: Stabilized finite element, sieve problem, blood flow, terminal aneurysm, stent, fluid-structure interaction. Numerical simulation of blood flows through a porous interface Miguel A. Fernández Jean-Frédéric Gerbeau Vincent Martin Stabilized finite element sieve problem blood flow terminal aneurysm stent fluid-structure interaction. 65M60 74K25 76D05 76Z05. 2008-08-11T07:23:05Z text/html doi:10.1051/m2an:2008031 ESAIM: M2AN PREPRINT, abstract 1218439385 ESAIM: Mathematical Modelling and Numerical Analysis Article PREPRINT A stabilized finite element scheme for the Navier-Stokes equations on quadrilateral anisotropic meshes http://www.edpsciences.org/10.1051/m2an:2008032 Author: Malte Braack ESAIM: M2AN PREPRINT, (2008) Received April 18, 2007. Revised February 25, 2008 and March 31, 2008. Published online August 12, 2008. Keywords: Incompressible flow, Navier-Stokes equations, stabilized finite elements, anisotropic meshes. A stabilized finite element scheme for the Navier-Stokes equations on quadrilateral anisotropic meshes Malte Braack Incompressible flow Navier-Stokes equations stabilized finite elements anisotropic meshes. 35Q30 65N30 76D05 2008-08-11T07:23:05Z text/html doi:10.1051/m2an:2008032 ESAIM: M2AN PREPRINT, abstract 1218439385 ESAIM: Mathematical Modelling and Numerical Analysis Article PREPRINT Error estimates for the Ultra Weak Variational Formulation of the Helmholtz equation http://www.edpsciences.org/10.1051/m2an:2008033 Authors: Annalisa Buffa and Peter Monk ESAIM: M2AN PREPRINT, (2008) Received July 20, 2007. Published online August 12, 2008. Keywords: Helmholtz equation, UWVF, plane waves, error estimate. Error estimates for the Ultra Weak Variational Formulation of the Helmholtz equation Annalisa Buffa Peter Monk Helmholtz equation UWVF plane waves error estimate. 65N15 65N30 35J05. 2008-08-11T07:23:05Z text/html doi:10.1051/m2an:2008033 ESAIM: M2AN PREPRINT, abstract 1218439385 ESAIM: Mathematical Modelling and Numerical Analysis Article PREPRINT Convergent finite element discretizations of the nonstationary incompressible magnetohydrodynamics system http://www.edpsciences.org/10.1051/m2an:2008034 Author: Andreas Prohl ESAIM: M2AN PREPRINT, (2008) Received March 10, 2008. Revised June 24, 2008. Published online August 12, 2008. Keywords: Magneto-hydrodynamics, discretization, FEM, fixed-point scheme, splitting-method. Convergent finite element discretizations of the nonstationary incompressible magnetohydrodynamics system Andreas Prohl Magneto-hydrodynamics discretization FEM fixed-point scheme splitting-method. 65N30. 2008-08-11T07:23:05Z text/html doi:10.1051/m2an:2008034 ESAIM: M2AN PREPRINT, abstract 1218439385 ESAIM: Mathematical Modelling and Numerical Analysis Article PREPRINT Sparse finite element approximation of high-dimensional transport-dominated diffusion problems http://www.edpsciences.org/10.1051/m2an:2008027 Authors: Christoph Schwab, Endre Süli and Radu Alexandru Todor ESAIM: M2AN PREPRINT, (2008) Received March 7, 2007. Received February 11, 2008. Published online July 30, 2008. Keywords: High-dimensional Fokker-Planck equations, partial differential equations with nonnegative characteristic form, sparse finite element method. Sparse finite element approximation of high-dimensional transport-dominated diffusion problems Christoph Schwab Endre Süli Radu Alexandru Todor High-dimensional Fokker-Planck equations partial differential equations with nonnegative characteristic form sparse finite element method. 65N30. 2008-07-29T09:31:14Z text/html doi:10.1051/m2an:2008027 ESAIM: M2AN PREPRINT, abstract 1217323874 ESAIM: Mathematical Modelling and Numerical Analysis Article PREPRINT Finite element approximation of a two-layered liquid film in the presence of insoluble surfactants http://www.edpsciences.org/10.1051/m2an:2008028 Authors: John W. Barrett and Linda El Alaoui ESAIM: M2AN PREPRINT, (2008) Received April 24, 2007. Published online July 30, 2008. Keywords: Thin film, surfactant, bilayer, fourth order degenerate parabolic system, finite elements, convergence analysis. Finite element approximation of a two-layered liquid film in the presence of insoluble surfactants John W. Barrett Linda El Alaoui Thin film surfactant bilayer fourth order degenerate parabolic system finite elements convergence analysis. 65M60 65M12 35K55 35K65 35K35 76A20 76D08. 2008-07-29T09:31:14Z text/html doi:10.1051/m2an:2008028 ESAIM: M2AN PREPRINT, abstract 1217323874 ESAIM: Mathematical Modelling and Numerical Analysis Article PREPRINT A Roe-type scheme for two-phase shallow granular flows over variable topography http://www.edpsciences.org/10.1051/m2an:2008029 Authors: Marica Pelanti, François Bouchut and Anne Mangeney ESAIM: M2AN PREPRINT, (2008) Received November 9, 2007. Published online July 30, 2008. Keywords: Granular flows, two-phase flows, thin layer approximation, non-conservative systems, numerical model, finite volume schemes, Riemann solvers, well-balanced schemes. A Roe-type scheme for two-phase shallow granular flows over variable topography Marica Pelanti François Bouchut Anne Mangeney Granular flows two-phase flows thin layer approximation non-conservative systems numerical model finite volume schemes Riemann solvers well-balanced schemes. 65M99 76T25. 2008-07-29T09:31:14Z text/html doi:10.1051/m2an:2008029 ESAIM: M2AN PREPRINT, abstract 1217323874 ESAIM: Mathematical Modelling and Numerical Analysis Article PREPRINT Inner products in covolume and mimetic methods http://www.edpsciences.org/10.1051/m2an:2008030 Author: Kathryn A. Trapp ESAIM: M2AN PREPRINT, (2008) Received March 26, 2007. Revised February 29, 2008. Published online July 30, 2008. Keywords: Compatible discretization, discrete Helmholtz orthogonality, discrete exact sequence, mimetic method, covolume method. Inner products in covolume and mimetic methods Kathryn A. Trapp Compatible discretization discrete Helmholtz orthogonality discrete exact sequence mimetic method covolume method. 65N06. 2008-07-29T09:31:14Z text/html doi:10.1051/m2an:2008030 ESAIM: M2AN PREPRINT, abstract 1217323874 ESAIM: Mathematical Modelling and Numerical Analysis Article PREPRINT