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PhD: Bibliography

Posted on 07/06/2017, in PhD.

Chú ý rằng những id trong đây cũng là những id được dùng trong các file tex.

  • Carraro2016 On the implementation of the eXtended Finite Element Method ( XFEM ) for interface problems
  • Capatina2017 Extension of NXFEM to nonconforming finite elements
  • Areias2006 A comment on the article “A finite element method for simulation of strong and weak discontinuities in solid mechanics” by A. Hansbo and P. Hansbo [Comput. Methods Appl. Mech. Engrg. 193 (2004) 3523-3540]
  • Capatina2015 Nonconforming finite element approximation of an elliptic interface problem with NXFEM
  • Burman2014 CutFEM: Discretizing geometry and partial differential equations
  • Burman2009 Fictitious domain finite element methods using cut elements: II. A stabilized Nitsche method
  • Eymard2010 Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes
  • DiPietro2010 Discrete functional analysis tools for Discontinuous Galerkin methods with application to the incompressible Navier–Stokes equations
  • Ainsworth1997 A posteriori error estimation in finite element analysis
  • Debnath2005 Hilbert spaces with applications
  • Leoni2009 A first course in Sobolev spaces
  • Baratchart2016 Uniqueness results for inverse Robin problems with bounded coefficient
  • Duddu2006 A combined extended finite element and level set method for biofilm growth
  • El-Otmany2015 : [thesis] Approximation by NXFEM method of interphase and interface problems in fluid mechanics
  • Duddu2008 A two-dimensional continuum model of biofilm growth incorporating fluid flow and shear stress based detachment
  • Mah2001 Mechanisms of biofilm resistance to antimicrobial agents
  • Chopp2002 A mathematical model of quorum sensing in a growing bacterial biofilm
  • Thomee2006 Galerkin Finite Element Methods for Parabolic Problems
  • Knabner2002 Numerical Methods for Elliptic and Parabolic Partial Differential Equations
  • Hysing2007 : THESIS Numerical Simulation of Immiscible Fluids with FEM Level Set Techniques
  • Picioreanu2000 Effect of diffusive and convective substrate transport on biofilm structure formation: a two-dimensional modeling study
  • Rittma1982 The Effect of Shear Stress on Bioflm Loss Rate
  • Cogan2006 Effects of persister formation on bacterial response to dosing
  • Cogan2005 Modeling physiological resistance in bacterial biofilms
  • Picioreanu1999 Discrete-differential modelling of biofilm structure
  • Chopp2007 Simulating Bacterial Biofilms
  • Roberts2005 Modelling protection from antimicrobial agents in biofilms through the formation of persister cells
  • Davies2003 Understanding biofilm resistance to antibacterial agents
  • Chen1998 Finite element methods and their convergence for elliptic and parabolic interface problems
  • Bramble1996 A finite element method for interface problems in domains with smooth boundaries and interfaces
  • Babuska1970 The finite element method for elliptic equations with discontinuous coefficients
  • Ladyzhenskaya1966 The solvability of diffraction problems
  • Li2003 New Cartesian grid methods for interface problems using the finite element formulation
  • Sinha An unfitted finite-element method for elliptic and parabolic interface problems
  • Wu An unfitted hp -interface penalty finite element method for elliptic interface problems
  • Hansbo2002 An unfitted finite element method, based on Nitsche’s method, for elliptic interface problems
  • Barrau2012 A robust variant of NXFEM for the interface problem
  • Wang2014 An Unfitted Discontinuous Galerkin Method for Elliptic Interface Problems
  • Smith2007 The extended finite element method for boundary layer problems in biofilm grown
  • Engwer2009 An Unfitted Discontinuous Galerkin Scheme for Micro-scale Simulations and Numerical Upscaling
  • nitscheIdea What is the general idea of Nitsche’s method in numerical analysis
  • Barrau2013 [Thesis] Généralisation de la méthode Nitsche XFEM pour la discétisation de problèmes d’interface elliptiques
  • LeDret2013 Équations Aux Dé}rivées Partielles Elliptiques Non Liné}aires
  • Ishihara1982 Finite Element Approximations Applied to the Nonlinear Boundary Value Problem $\Delta u=bu^2$
  • Ern2004 Theory and Practice of Finite Elements
  • Rudin Real and complex analysis
  • Vasile2007 Iterative Approximation of Fixed Points, Lecture Notes in Mathematics
  • Bui2011 A coupling strategy based on anisotropic mesh adaptation for solving two-fluid flows
  • Bui2009 Simulation des écoulements bifluides, une stratégie de couplage basée sur l’adaptation de maillage anisotrope
  • Hesthaven2008 Nodal Discontinuous Galerkin Methods
  • ArnoldBook Numerical methods for two-phase incompressible flows
  • Li2003 An overview of the immersed interface method and its applications
  • Osher1988 Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
  • Tornberg2000 A finite element based level-set method for multiphase flow applications
  • Sussman1994 A Level Set Approach for Computing Solutions to Incompressible Two-Phase Flow
  • Lehrenfeld2015 Extended finite element methods for interface problems
  • Lehrenfeld2012 Nitsche-XFEM with Streamline Diffusion Stabilization for a Two-Phase Mass Transport Problem
  • Arnold2008 Analysis of an extended pressure finite element space for two-phase incompressible flows
  • Lehrenfeld2014 Optimal preconditioners for Nitsche-XFEM discretizations of interface problems
  • DeVuyst2013 Numerical modeling of transport problems using freefem++ software – with examples in biology, CFD, traffic flow and energy transfer
  • Loch2013 The level set method for capturing interfaces with applications in two-phase flow problems
  • Hieu2009 Nitsche’s method for a transport problem in two phase incompressible flow
  • Lehrenfeld2011 Nitsche-XFEM for a transport problem in two-phase incompressible flows
  • HieuThesis Numerical methods for mass transport equations in two-phase incompressible flows
  • Burman2010 Ghost penalty
  • Sethian1999 The Fast Construction of Extension Velocities in Level Set Methods
  • Sethian2003 Level set methods for fluid interface
  • Hou1996 Eulerian Capturing Methods Based on a Level Set Formulation for Incompressible Fluid Interfaces
  • Dolejsi2015 Discontinuous Galerkin Method
  • Arnold2001 Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
  • Chopp2003 The dependence of quorum sensing on the depth of a growing biofilm
  • Brezzi2004 Discontinuous Galerkin Methods for First-Order Hyperbolic Problems
  • ErnDiscont Mathematical Aspects of Discontinuous Galerkin methods
  • Nitsche1971 Uber ein Variationsprinzip zur Losung von Dirichlet-Problemen bei Verwendung von Teilraumen, die keinen Randbedingungen unterworfen sind
  • Kubinska2005 Approximation of Carathéodory functions and multifunctions
  • LongChen : Programming of finite element methods in Matlab (link).
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