Daniel Loghin

Research output

Research output per year 2002 2008 2021

• 26 Article
• 5 Paper
• 1 Conference contribution

Research output per year

Research output per year

Search results

• 2021

  Truncation preconditioners for Stochastic Galerkin finite element discretizations

  Bespalov, A., Loghin, D. & Youngnoi, R., 15 Mar 2021, (E-pub ahead of print) In: SIAM Journal on Scientific Computing. 2021, p. S92-S116

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Finite Element Discretization 100%
  • Preconditioner 87%
  • Galerkin 87%
  • Truncation 87%
  • Galerkin Finite Element Method 72%
  180 Downloads (Pure)
• 2020

  Diffusion in arrays of obstacles: Beyond homogenization: Diffusion in arrays of obstacles

  Farah, Y., Loghin, D., Tzella, A. & Vanneste, J., Dec 2020, In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 476, 2244, 20200207.

  Research output: Contribution to journal › Article › peer-review

  • homogenizing 100%
  • Homogenization 95%
  • Rate Function 83%
  • Eigenvalue Problem 41%
  • eigenvalues 40%
• 2017

  A note on constraint preconditioning

  Loghin, D., 6 Dec 2017, (E-pub ahead of print) In: SIAM Journal on Matrix Analysis and Applications. 38, 4, p. 1486–1495 10 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Preconditioning 100%
  • Preconditioner 90%
  • Eigenvalue 59%
  • Unit 32%
  • kernel 32%
  2 Citations (Scopus)

  240 Downloads (Pure)

• Constraint interface preconditioning for the incompressible Stokes equations

  Loghin, D., 21 Sept 2017, In: SIAM Journal on Numerical Analysis. 55, 5, p. 2286–2311 26 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Stokes Equations 100%
  • Preconditioning 95%
  • Mesh 35%
  • Substructuring 33%
  • Decompose 28%
  1 Citation (Scopus)

  269 Downloads (Pure)
• 2016

  Constraint interface preconditioning for topology optimization problems

  Kocvara, M., Loghin, D. & Turner, J., 12 Jan 2016, In: SIAM Journal on Scientific Computing. 38, 1, p. A128-A145 18 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Topology Optimization 100%
  • Domain decomposition methods 96%
  • Domain Decomposition Method 81%
  • Preconditioning 75%
  • Shape optimization 75%
  6 Citations (Scopus)

  269 Downloads (Pure)

• Spectral analysis of the anisotropic Steklov–Poincaré matrix

  Loghin, D. & Arioli, M., 1 Jan 2016, In: Linear Algebra and its Applications. 488, p. 168-183 16 p.

  Research output: Contribution to journal › Article › peer-review

  • Spectral Analysis 100%
  • Aspect Ratio 80%
  • Schur Complement 77%
  • Anisotropy 72%
  • Refinement 55%
  1 Citation (Scopus)
• 2013

  Discrete fractional Sobolev norms for domain decomposition preconditioning

  Arioli, M., Kourounis, D. & Loghin, D., 1 Jan 2013, In: I M A Journal of Numerical Analysis. 33, p. 318-342

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Domain Decomposition 100%
  • Preconditioning 95%
  • Interpolation 76%
  • Decomposition 64%
  • Fractional 64%
  11 Citations (Scopus)

  200 Downloads (Pure)

• Physics of rheologically enhanced propulsion : different strokes in generalized Stokes

  Johnson, T., Smith, D. & Loghin, D., Aug 2013, In: Physics of Fluids. 25, 8, 081903.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • propulsion 100%
  • strokes 99%
  • shear thinning 82%
  • physics 56%
  • fluids 52%
  51 Citations (Scopus)

  216 Downloads (Pure)

• Stopping criteria for adaptive finite element solvers

  Loghin, D., 19 Jun 2013, In: SIAM Journal on Scientific Computing. 35, 3, p. A1537–A1559 23 p.

  Research output: Contribution to journal › Article › peer-review

  • Adaptive Finite Elements 100%
  • Stopping Criterion 97%
  • Adaptive algorithms 75%
  • Adaptive Algorithm 58%
  • Conjugate gradient method 47%
  20 Citations (Scopus)
• 2012

  Modelling the fluid mechanics of cilia and flagella in reproduction and development

  Montenegro-Johnson, T., Smith, A. A., Smith, D., Loghin, D. & Blake, J., 2012, In: European Physical Journal E. Soft Matter. 35, 17 p., 111.

  Research output: Contribution to journal › Article › peer-review

  • fluid mechanics 100%
  • locomotion 49%
  • shear thinning 48%
  • broken symmetry 36%
  • slender bodies 30%
  34 Citations (Scopus)
• 2011

  Modeling of Co-planar Type Single-Chamber Solid Oxide Fuel Cells

  Akhtar, N., Decent, S., Loghin, D. & Kendall, K., 1 Aug 2011, In: Journal of Fuel Cell Science and Technology. 8, 4, p. 041014 1 p.

  Research output: Contribution to journal › Article

  • Solid oxide fuel cells (SOFC) 100%
  • Yttria stabilized zirconia 82%
  • Flow Kinetics 71%
  • Anode 67%
  • Cathode 67%
  1 Citation (Scopus)
• 2009

  A three-dimensional numerical model of a single-chamber solid oxide fuel cell

  Akhtar, N., Decent, S., Loghin, D. & Kendall, K., 1 Oct 2009, In: International Journal of Hydrogen Energy. 34, 20, p. 8645-8663 19 p.

  Research output: Contribution to journal › Article

  • solid oxide fuel cells 100%
  • Solid oxide fuel cells (SOFC) 92%
  • Numerical models 69%
  • Oxygen 69%
  • Hydrogen 68%
  43 Citations (Scopus)

• Discrete Interpolation Norms with Applications

  Arioli, M. & Loghin, D., 1 Jan 2009, In: SIAM Journal on Numerical Analysis. 47, 4, p. 2924-

  Research output: Contribution to journal › Article

  • Interpolation Spaces 100%
  • Interpolate 60%
  • Preconditioning Techniques 51%
  • Norm 46%
  • Sobolev Spaces 33%
  26 Citations (Scopus)

• Mixed-reactant, micro-tubular solid oxide fuel cells: An experimental study

  Akhtar, N., Decent, S., Loghin, D. & Kendall, K., 1 Aug 2009, In: Journal of Power Sources. 193, 1, p. 39-48 10 p.

  Research output: Contribution to journal › Article

  • solid oxide fuel cells 100%
  • Solid oxide fuel cells (SOFC) 92%
  • Methane 79%
  • methane 78%
  • Yttria stabilized zirconia 57%
  51 Citations (Scopus)
• 2008

  Matrix square-root preconditioners for the Steklov-Poincare operator

  Arioli, M. & Loghin, D., 1 Jan 2008, In: Romanian Academy. Proceedings. Series A: Mathematics, Physics, Technical Sciences, Information Science .

  Research output: Contribution to journal › Article

• Norm Preconditioners for Discontinuous Galerkin $hp$-Finite Element Methods

  Georgoulis, EH. & Loghin, D., 1 Jan 2008, In: SIAM Journal on Scientific Computing. 30, 5, p. 2447-2465 19 p.

  Research output: Contribution to journal › Article

  • Hp-finite Element Methods 100%
  • Discontinuous Galerkin 71%
  • Tensors 63%
  • Partial differential equations 63%
  • Galerkin Method 62%
  5 Citations (Scopus)

• Stopping criteria for mixed finite element problems

  Arioli, M. & Loghin, D., 1 Jan 2008, In: Electronic Transactions on Numerical Analysis. 29, p. 178-192 15 p.

  Research output: Contribution to journal › Article

  • Stopping Criterion 100%
  • Mixed Finite Elements 87%
  • MINRES 61%
  • Navier-Stokes Problem 50%
  • GMRES 48%
• 2007

  Fast solvers for viscoelastic flows

  Loghin, D., 1 Jan 2007, In: Proc. Romanian Academy of Sciences.

  Research output: Contribution to journal › Article
• 2006

  Adaptive preconditioners for nonlinear systems of equations

  Loghin, D., Ruiz, D. & Touhami, A., 1 May 2006, In: Journal of Computational and Applied Mathematics. 189, 1, p. 362-374 13 p.

  Research output: Contribution to journal › Article
  14 Citations (Scopus)

• Analysis of preconditioners for saddle-point problems

  Loghin, D. & Wathen, AJ., 25 Jul 2006, In: SIAM Journal on Scientific Computing. 25, 6, p. 2029-2049 21 p.

  Research output: Contribution to journal › Article › peer-review

  • Field of Values 100%
  • Saddle Point Problems 80%
  • Preconditioner 65%
  • Linear systems 61%
  • Equivalence 47%
  53 Citations (Scopus)

• Bounds on the eigenvalue range and on the field of values of non-Hermitian and indefinite finite element matrices

  Loghin, D., van Gijzen, M. & Jonkers, E., 1 May 2006, In: Journal of Computational and Applied Mathematics. 189, 1-2, p. 304-323 20 p.

  Research output: Contribution to journal › Article
  7 Citations (Scopus)
• 2005

  Stopping criteria in finite element problems

  Loghin, D., Arioli, M. & Wathen, AJ., 1 Jan 2005, In: Applied Numerical Mathematics. 99, 3, p. 381-410 30 p.

  Research output: Contribution to journal › Article
  42 Citations (Scopus)
• 2003

  Preconditioning techniques for Newtron's method for the incompressible Navier-Stoked equations

  Loghin, D., Elman, HC. & Wathen, AJ., 1 Jan 2003, In: Bit (Lisse): numerical mathematics. 43, p. 961-974 14 p.

  Research output: Contribution to journal › Article
  22 Citations (Scopus)

• Schur complement preconditioning for elliptic systems of partial differential equations

  Loghin, D. & Wathen, AJ., 1 Jul 2003, In: Numerical Linear Algebra with Applications. 10, p. 423-443 21 p.

  Research output: Contribution to journal › Article
  14 Citations (Scopus)
• 2002

  A preconditioner for the steady-state Navier-Stokes equations

  Loghin, D., Kay, D. & Wathen, AJ., 1 Jan 2002, In: SIAM Journal on Scientific Computing. 24, 1, p. 237-256 20 p.

  Research output: Contribution to journal › Article
  152 Citations (Scopus)

• Schur complement preconditioners for the Navier-Stokes equations

  Loghin, D. & Wathen, AJ., 30 Sept 2002, In: International Journal for Numerical Methods in Fluids. 40, 3-4, p. 403-412 10 p.

  Research output: Contribution to journal › Article
  12 Citations (Scopus)