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1. On stable, dissipation reducing splitting schemes for two-phase flow of electrolyte solutions

   In this paper, we are concerned with the numerical treatment of a recent diffuse interface model for two-phase flow of electrolyte solutions...

   Stefan Metzger in Numerical Algorithms

   Article 23 April 2018

2. Asymptotic behavior and finite element error estimates of Kelvin-Voigt viscoelastic fluid flow model

   In this article, the convergence of the solution of the Kelvin-Voigt viscoelastic fluid flow model to its steady state solution with exponential rate...

   Sudeep Kundu, Saumya Bajpai, Amiya K. Pani in Numerical Algorithms

   Article 06 October 2016

3. Using generating functions to convert an implicit (3,3) finite difference method to an explicit form on diffusion equation with different boundary conditions

   In this article, our main goal is to develop an idea to convert an implicit (3,3) 𝜃 -scheme finite difference method to an explicit form for both...

   Saeed Kazem, Edmund Chadwick, ... Mehdi Dehghan in Numerical Algorithms

   Article 03 September 2015

4. Network analysis of Zentralblatt MATH data

   We analyze the data about works (papers, books) from the time period 1990–2010 that are collected in Zentralblatt MATH database. The data were...

   Monika Cerinšek, Vladimir Batagelj in Scientometrics

   Article 12 September 2014
   

5. On approximated ILU and UGS preconditioning methods for linearized discretized steady incompressible Navier-Stokes equations

   When the artificial compressibility method in conjunction with high-order upwind compact finite difference schemes is employed to discretize the...

   Zhong-Zhi Bai, Yu-Hong Ran, Li Yuan in Numerical Algorithms

   Article 02 March 2013

6. Stabilized finite element method for the viscoelastic Oldroyd fluid flows

   In this paper, a new stabilized finite element method based on two local Gauss integrations is considered for the two-dimensional viscoelastic fluid...

   Kun Wang, Zhiyong Si, Yanfang Yang in Numerical Algorithms

   Article 27 October 2011

7. Second order modified method of characteristics mixed defect-correction finite element method for time dependent Navier–Stokes problems

   In this paper, a second order modified method of characteristics defect-correction (SOMMOCDC) mixed finite element method for the time dependent...

   Zhiyong Si in Numerical Algorithms

   Article 30 July 2011

8. PDE-constrained control using Femlab – Control of the Navier–Stokes equations

   We show how the software F emlab can be used to solve PDE-constrained optimal control problems. We give a general formulation for such kind of...

   Thomas Slawig in Numerical Algorithms

   Article 29 June 2006

9. On the inf–sup Condition for the P ^mod ₃ / P ^disc ₂ Element

   We consider a recently introduced triangular nonconforming finite element of third-order accuracy in the energy norm called P ^mod ₃ element. We show...

   P. Knobloch in Computing

   Article 15 July 2005

10. Application of the least-squares spectral element method using Chebyshev polynomials to solve the incompressible Navier-Stokes equations

    In this paper the extension of the Legendre least-squares spectral element formulation to Chebyshev polynomials will be explained. The new method...

    Michael M. J. Proot, Marc I. Gerritsma in Numerical Algorithms

    Article 01 March 2005

11. A nonstandard multigrid method with flexible multiple semicoarsening for the numerical solution of the pressure equation in a Navier-Stokes solver

    Numerical methods for the incompressible Reynolds-averaged Navier-Stokes equations discretized by finite difference techniques on collocated...

    Jean Piquet, Xavier Vasseur in Numerical Algorithms

    Article 01 October 2000

12. Multigrid preconditioned Krylov subspace methods for three-dimensional numerical solutions of the incompressible Navier–Stokes equations

    We consider numerical methods for the incompressible Reynolds averaged Navier–Stokes equations discretized by finite difference techniques on...

    Jean Piquet, Xavier Vasseur in Numerical Algorithms

    Article 01 May 1998