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IMA Journal of Numerical Analysis, ISSN 0272-4979, 01/2019
Journal Article
International Journal of Mineral Processing, ISSN 0301-7516, 05/2017, Volume 162, pp. 36 - 47
During iron ores granulation process minimization of the volume of water is of vital economic importance due to the associated energy cost of evaporation in... 
Iron ores | Surfaces | Infiltration | Cassie law | Powder technology | Wetting | BEHAVIOR | ROUGHNESS | ENGINEERING, CHEMICAL | MINING & MINERAL PROCESSING | CONTACT-ANGLE MEASUREMENTS | DYNAMICS | MINERALOGY | IRON-ORES | Hematite | Powders | Analysis
Journal Article
SIAM Journal on Numerical Analysis, ISSN 0036-1429, 1/2013, Volume 51, Issue 6, pp. 3505 - 3531
This work presents a priori and a posteriori error analyses of a new multiscale hybrid-mixed method (MHM) for an elliptic model. Specially designed to... 
Porous media | Elliptic equation | Hybrid method | Mixed method | Multiscale | Finite element | MATHEMATICS, APPLIED | hybrid method | finite element | mixed method | FINITE-ELEMENT METHODS | multiscale | porous media | elliptic equation | Errors | Basis functions | Conservation | Preserves | Norms | Mathematical models | Continuity | Stems
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 09/2017, Volume 324, p. 29
The multiscale hybrid-mixed (MHM) method is extended to the Stokes and Brinkman equations with highly heterogeneous coefficients. The approach is constructive.... 
Studies | Finite element method | Basis functions | Lagrange multipliers | Test procedures | Norms | Boundary conditions | Galerkin method | Finite element analysis | Navier Stokes equations | Convergence | Multiscale methods
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 2007, Volume 206, Issue 1, pp. 440 - 453
This paper deals with a posteriori error estimates for advection–reaction–diffusion equations. In particular, error estimators based on the solution of local... 
Boundary and inner layers | Stabilized finite elements | A posteriori error estimates | Advection–reaction–diffusion problem | Advection-reaction-diffusion problem | MATHEMATICS, APPLIED | advection-reaction-diffusion problem | stabilized finite elements | boundary and inner layers
Journal Article
Applied Numerical Mathematics, ISSN 0168-9274, 05/2018, Volume 127, pp. 179 - 195
In this work we develop an a posteriori error estimator, of the hierarchical type, for the Local Projection Stabilized (LPS) finite element method introduced... 
Navier–Stokes equation | Stabilized finite element scheme | A posteriori error estimates | MATHEMATICS, APPLIED | STABILIZATION | FINITE-ELEMENT METHODS | Navier-Stokes equation | FLOW
Journal Article
Geophysical Research Letters, ISSN 0094-8276, 07/2015, Volume 42, Issue 14, pp. 5786 - 5795
Journal Article
Applied Numerical Mathematics, ISSN 0168-9274, 12/2019, Volume 146, pp. 291 - 308
We propose a residual-type error estimator for a hybridizable discontinuous Galerkin method applied to the Oseen problem in a gradient-velocity-pressure... 
Oseen equations | A posteriori error analysis | Hybridizable discontinuous Galerkin method | MATHEMATICS, APPLIED | APPROXIMATION | PRIORI | HYBRIDIZABLE DISCONTINUOUS GALERKIN
Journal Article
Numerische Mathematik, ISSN 0029-599X, 12/2006, Volume 105, Issue 2, pp. 193 - 216
The aim of this paper is to introduce residual type a posteriori error estimators for a Poisson problem with a Dirac delta source term, in L p norm and W1,p... 
Numerical and Computational Methods | 65N15 | Mathematical Methods in Physics | Mathematical and Computational Physics | Numerical Analysis | Appl.Mathematics/Computational Methods of Engineering | 65N50 | Mathematics, general | Mathematics | 65N30 | SINGULAR DATA | MATHEMATICS, APPLIED
Journal Article
IMA Journal of Numerical Analysis, ISSN 0272-4979, 2011, Volume 31, Issue 3, pp. 886 - 913
This paper deals with a fluid-solid interaction problem inspired by a biomechanical brain model. The problem consists of determining the response to prescribed... 
adaptive scheme | biomechanical brain model | a priori and a posteriori error estimates | fluid-solid interaction | finite elements | MATHEMATICS, APPLIED | MODEL | DEFORMATION | Errors | Fluid-solid interactions | Computational fluid dynamics | Mathematical analysis | Fluid flow | Mathematical models | Displacement | Estimators | Computer Science
Journal Article
IMA JOURNAL OF NUMERICAL ANALYSIS, ISSN 0272-4979, 07/2019, Volume 39, Issue 3, pp. 1502 - 1528
We introduce and analyze a hybridizable discontinuous Galerkin method for the gradient-velocity-pressure formulation of the Brinkman problem. We present an a... 
MATHEMATICS, APPLIED | NUMBER | hybridizable discontinuous Galerkin method | A-PRIORI | APPROXIMATIONS | GRADIENT RECOVERY | POSTERIORI ERROR ESTIMATION | ESTIMATOR | STOKES | Stokes equations | a priori error analysis | DISCONTINUOUS GALERKIN METHODS | FLUX RECONSTRUCTION | a posteriori error analysis | Brinkman equations
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 2007, Volume 196, Issue 29, pp. 2800 - 2812
Journal Article
Applied Numerical Mathematics, ISSN 0168-9274, 2005, Volume 54, Issue 3, pp. 491 - 503
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 01/2014, Volume 66, Issue 12, pp. 2456 - 2476
In this work we introduce an a posteriori error estimator, of the residual type, for the unsteady advection–diffusion–reaction problem. For the discretization... 
Parabolic problems | Advection–diffusion–reaction problem | A posteriori error estimators | Stabilized methods | Advection-diffusion-reaction problem | MATHEMATICS, APPLIED | DISCRETIZATION | PARABOLIC EQUATIONS | STABILITY | FINITE-ELEMENT METHODS | Analysis | Algorithms
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 09/2017, Volume 324, pp. 29 - 53
The multiscale hybrid-mixed (MHM) method is extended to the Stokes and Brinkman equations with highly heterogeneous coefficients. The approach is constructive.... 
Brinkman model | Hybrid method | Multiscale finite element | Stokes equation | Mixed method | DARCY FLOW | FINITE-ELEMENT METHODS | BUBBLES | ELLIPTIC PROBLEMS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | DISCONTINUOUS GALERKIN METHODS | COEFFICIENTS | ENRICHMENT | POROUS-MEDIA
Journal Article
SIAM Journal on Numerical Analysis, ISSN 0036-1429, 1/2012, Volume 50, Issue 2, pp. 669 - 699
This work presents and analyzes a new residual local projection stabilized finite element method (RELP) for the nonlinear incompressible Navier-Stokes... 
Finite element method | Interpolation | Navier Stokes equation | Airy equation | Uniqueness | Velocity distribution | Fees | Cylinders | RELP method | Numerical analysis | Stabilized low order method | Navier-Stokes equations | MATHEMATICS, APPLIED | APPROXIMATION | STABILIZATION | numerical analysis | stabilized low order method
Journal Article
Cardiovascular Toxicology, ISSN 1530-7905, 10/2017, Volume 17, Issue 4, pp. 458 - 470
Journal Article
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