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Adrian Florin Radu's picture

Adrian Florin Radu

Professor
Department of Mathematics
Home Page
  • E-mailflorin.radu@uib.no
  • Phone+47 55 58 36 90
  • Visitor Address
    Allégaten 41
    Realfagbygget
    5007 Bergen
  • Postal Address
    Postboks 7803
    5020 Bergen
Academic article
  • Show author(s) (2022). Towards hybrid two-phase modelling using linear domain decomposition. Numerical Methods for Partial Differential Equations. 622-656.
  • Show author(s) (2022). Global random walk solvers for reactive transport and biodegradation processes in heterogeneous porous media. Advances in Water Resources.
  • Show author(s) (2022). Efficient Solvers for Nonstandard Models for Flow and Transport in Unsaturated Porous Media. ROMAI Journal. 31-73.
  • Show author(s) (2022). A posteriori error estimates for hierarchical mixed-dimensional elliptic equations. Journal of Numerical Mathematics.
  • Show author(s) (2021). The Fixed-Stress splitting scheme for Biot's equations as a modified Richardson iteration: Implications for optimal convergence. Lecture Notes in Computational Science and Engineering.
  • Show author(s) (2021). Robust Linear Domain Decomposition Schemes for Reduced Nonlinear Fracture Flow Models. SIAM Journal on Numerical Analysis. 583-612.
  • Show author(s) (2021). Numerical homogenization of non-linear parabolic problems on adaptive meshes. Journal of Computational Physics. 1-18.
  • Show author(s) (2021). Modeling of relative permeabilities including dynamic wettability transition zones. Journal of Petroleum Science and Engineering. 14 pages.
  • Show author(s) (2021). Iterative splitting schemes for a soft material poromechanics model. Computer Methods in Applied Mechanics and Engineering. 1-29.
  • Show author(s) (2021). Iterative Coupling for Fully Dynamic Poroelasticity. Lecture Notes in Computational Science and Engineering. 115-123.
  • Show author(s) (2021). Global random walk solvers for fully coupled flow and transport in saturated/unsaturated porous media. Advances in Water Resources. 17 pages.
  • Show author(s) (2021). An efficient numerical scheme for fully coupled flow and reactive transport in variably saturated porous media including dynamic capillary effects. Lecture Notes in Computational Science and Engineering. 563-571.
  • Show author(s) (2021). An accelerated staggered scheme for variational phase-field models of brittle fracture. Computer Methods in Applied Mechanics and Engineering. 1-19.
  • Show author(s) (2021). A Cahn-Hilliard-Biot system and its generalized gradient flow structure. Applied Mathematics Letters. 8 pages.
  • Show author(s) (2020). Rigorous upscaling of unsaturated flow in fractured porous media. SIAM Journal on Mathematical Analysis. 239-276.
  • Show author(s) (2020). Post-processed Galerkin approximation of improved order for wave equations. Mathematics of Computation. 595-627.
  • Show author(s) (2020). Monolithic and splitting solution schemes for fully coupled quasi-static thermo-poroelasticity with nonlinear convective transport. Computers and Mathematics with Applications. 1964-1984.
  • Show author(s) (2020). Mathematical modeling, laboratory experiments, and sensitivity analysis of bioplug technology at Darcy scale. SPE Journal. 3120-3137.
  • Show author(s) (2020). Iterative solvers for Biot model under small and large deformations. Computational Geosciences.
  • Show author(s) (2020). Iterative schemes for surfactant transport in porous media. Computational Geosciences. 805-822.
  • Show author(s) (2020). Implicit linearization scheme for nonstandard two-phase flow in porous media. International Journal for Numerical Methods in Fluids. 1-17.
  • Show author(s) (2020). Impact of time-dependent wettability alteration on the dynamics of capillary pressure. Advances in Water Resources.
  • Show author(s) (2020). Formal upscaling and numerical validation of unsaturated flow models in fractured porous media. Journal of Computational Physics. 21 pages.
  • Show author(s) (2020). Formal upscaling and numerical validation of unsaturated flow models in fractured porous media. Journal of Computational Physics.
  • Show author(s) (2020). An iterative staggered scheme for phase field brittle fracture propagation with stabilizing parameters. Computer Methods in Applied Mechanics and Engineering. 1-22.
  • Show author(s) (2020). An Upscaled Model for Permeable Biofilm in a Thin Channel and Tube. Transport in Porous Media. 83-112.
  • Show author(s) (2019). Well-posedness of the fully coupled quasi-static thermo-poroelastic equations with nonlinear convective transport. Journal of Mathematical Analysis and Applications. 239-266.
  • Show author(s) (2019). On the optimization of the fixed‐stress splitting for Biot's equations. International Journal for Numerical Methods in Engineering. 179-194.
  • Show author(s) (2019). Numerical solvers for a poromechanic problem with a moving boundary. Mathematics in Engineering. 824-848.
  • Show author(s) (2019). Numerical Simulation of Biofilm Formation in a Microchannel. Lecture Notes in Computational Science and Engineering. 799-807.
  • Show author(s) (2019). Microfluidic study of effects of flow velocity and nutrient concentration on biofilm accumulation and adhesive strength in the flowing and no-flowing microchannels. Journal of Industrial Microbiology & Biotechnology. 855-868.
  • Show author(s) (2019). Iterative Linearisation Schemes for Doubly Degenerate Parabolic Equations. Lecture Notes in Computational Science and Engineering. 49-63.
  • Show author(s) (2019). Higher Order Space-Time Elements for a Non-linear Biot Model. Lecture Notes in Computational Science and Engineering. 541-549.
  • Show author(s) (2019). Adaptive asynchronous time-stepping, stopping criteria, and a posteriori error estimates for fixed-stress iterative schemes for coupled poromechanics problems. Journal of Computational and Applied Mathematics. 1-25.
  • Show author(s) (2019). A pore-scale study of transport of inertial particles by water in porous media. Chemical Engineering Science (CES). 397-409.
  • Show author(s) (2019). A Linear Domain Decomposition Method for Two-Phase Flow in Porous Media. Lecture Notes in Computational Science and Engineering. 603-614.
  • Show author(s) (2019). A Fully-Implicit, Iterative Scheme for the Simulation of Two-Phase Flow in Porous Media. Lecture Notes in Computational Science and Engineering. 625-633.
  • Show author(s) (2018). Upscaling of the coupling of hydromechanical and thermal processes in a quasi-static poroelastic medium. Transport in Porous Media. 137-158.
  • Show author(s) (2018). Transport of polymer particles in oil–water flow in porous media: Enhancing oil recovery. Transport in Porous Media. 1-19.
  • Show author(s) (2018). Robust iterative schemes for non-linear poromechanics. Computational Geosciences. 1021-1038.
  • Show author(s) (2018). On the ability of the generalized continuum transport model to properly capture dispersion. Analele Universităţii "Ovidius" Constanţa. Seria Matematică. 285-299.
  • Show author(s) (2018). Hermite analogs of the lowest order Raviart–Thomas mixed method for convection–diffusion equations. Computational & Applied Mathemathics. 2693-2713.
  • Show author(s) (2018). Anderson accelerated fixed-stress splitting schemes for consolidation of unsaturated porous media. Computers and Mathematics with Applications. 1479-1502.
  • Show author(s) (2018). Adaptive poromechanics computations based on a posteriori error estimates for fully mixed formulations of Biot's consolidation model. Computer Methods in Applied Mechanics and Engineering. 264-294.
  • Show author(s) (2018). A pore-scale model for permeable biofilm: Numerical simulations and laboratory experiments. Transport in Porous Media. 643-660.
  • Show author(s) (2018). A partially parallel-in-time fixed-stress splitting method for Biot’s consolidation model. Computers and Mathematics with Applications. 1466-1478.
  • Show author(s) (2018). A linear domain decomposition method for partially saturated flow in porous media. Computer Methods in Applied Mechanics and Engineering. 331-355.
  • Show author(s) (2017). Space-time finite element approximation of the Biot poroelasticity system with iterative coupling. Computer Methods in Applied Mechanics and Engineering. 745-768.
  • Show author(s) (2017). Robust fixed stress splitting for Biot's equations in heterogeneous media. Applied Mathematics Letters. 101-108.
  • Show author(s) (2017). On the Properties of the Parameter Space of the Generalized Continuum Transport Model for Description of Fluid Flow in Porous Networks. Transport in Porous Media. 673-688.
  • Show author(s) (2017). Modeling and Simulation of Microbial Enhanced Oil Recovery Including Interfacial Area. Transport in Porous Media. 395-413.
  • Show author(s) (2017). Error analysis for discretizations of parabolic problems using continuous finite elements in time and mixed finite elements in space. Numerische Mathematik. 773-818.
  • Show author(s) (2017). Analysis of a linearization scheme for an interior penalty discontinuous Galerkin method for two phase flow in porous media with dynamic capillarity effects. International Journal for Numerical Methods in Engineering. 553-577.
  • Show author(s) (2017). A robust, mass conservative scheme for two-phase flow in porous media including Hoelder continuous nonlinearities. IMA Journal of Numerical Analysis. 884-920.
  • Show author(s) (2016). Upscaling of Nonisothermal Reactive Porous Media Flow under Dominant Péclet Number: The Effect of Changing Porosity. Multiscale Modeling & simulation. 502-533.
  • Show author(s) (2016). A study on iterative methods for solving Richards’ equation. Computational Geosciences. 341-353.
  • Show author(s) (2015). Upscaling of non-isothermal reactive porous media flow with changing porosity. Transport in Porous Media. 371-393.
  • Show author(s) (2015). Solute transport in aquifers with evolving scale heterogeneity. Analele Universităţii "Ovidius" Constanţa. Seria Matematică. 167-186.
  • Show author(s) (2015). Consistency issues in pdf methods. Analele Universităţii "Ovidius" Constanţa. Seria Matematică. 187-208.
  • Show author(s) (2015). A robust linearization scheme for finite volume based discretizations for simulation of two-phase flow in porous media. Journal of Computational and Applied Mathematics. 134-141.
  • Show author(s) (2015). A model for non-isothermal flow and mineral precipitation and dissolution in a thin strip. Journal of Computational and Applied Mathematics. 346-355.
  • Show author(s) (2015). A Fokker-Planck approach for probability distributions of species concentrations transported in heterogeneous media. Journal of Computational and Applied Mathematics. 241-252.
  • Show author(s) (2014). Pore scale model for non-isothermal flow and mineral precipitation and dissolution in a thin strip. Journal of Computational and Applied Mathematics. 14 pages.
  • Show author(s) (2014). Convergence analysis for a conformal discretization of a model for precipitation and dissolution in porous media. Numerische Mathematik. 715-749.
  • Show author(s) (2014). Analysis of an upwind-mixed hybrid finite element method for transport problems. SIAM Journal on Numerical Analysis. 83-102.
  • Show author(s) (2013). Drug release from collagen matrices including an evolving microstructure. Zeitschrift für angewandte Mathematik und Mechanik. 811-822.
  • Show author(s) (2013). Convergence analysis of mixed numerical schemes for reactive flow in a porous medium. SIAM Journal on Numerical Analysis. 2283-2308.
  • Show author(s) (2013). A mixed finite element discretization scheme for a concrete carbonation model with concentration-dependent porosity. Journal of Computational and Applied Mathematics. 74-85.
  • Show author(s) (2013). A coupled finite element–global random walk approach to advection-dominated transport in porous media with random hydraulic conductivity. Journal of Computational and Applied Mathematics. 27-37.
  • Show author(s) (2012). Predicting predominant thermal convection in thermohaline flows in saturated porous media. Advances in Water Resources. 23-36.
  • Show author(s) (2012). Optimal order convergence of a modified BDM1 mixed finite element scheme for reactive transport in porous media. Advances in Water Resources. 163-171.
  • Show author(s) (2011). The stability of density-driven flows in saturated heterogeneous porous media. Advances in Water Resources. 1464-1482.
  • Show author(s) (2011). The effect of dispersion on the stability of density-driven flows in saturated homogeneous porous media. Advances in Water Resources. 417-432.
  • Show author(s) (2011). Mixed finite element discretization and Newton iteration for a reactive contaminant transport model with nonequilibrium sorption: convergence analysis and error estimates. Computational Geosciences. 431-450.
  • Show author(s) (2010). Newton method for reactive solute transport with equilibrium sorption in porous media. Journal of Computational and Applied Mathematics. 2118-2127.
  • Show author(s) (2010). Analysis of an Euler implicit‐mixed finite element scheme for reactive solute transport in porous media. Numerical Methods for Partial Differential Equations. 320-344.
  • Show author(s) (2009). A stability criterion for density-driven flows in a homogeneous medium. Advances in Water Resources. 796-808.
  • Show author(s) (2008). Error estimates for a mixed finite element discretization of some degenerate parabolic equations. Numerische Mathematik. 285-311.
  • Show author(s) (2008). Convergence of MPFA on triangulations and for Richards' equation. International Journal for Numerical Methods in Fluids. 1327-1351.
  • Show author(s) (2007). A model describing the effect of enzymatic degradation on drug release from collagen minirods. European journal of pharmaceutics and biopharmaceutics. 349-360.
  • Show author(s) (2004). Order of Convergence Estimates for an Euler Implicit, Mixed Finite Element Discretization of Richards' Equation. SIAM Journal on Numerical Analysis. 1452-1478.
  • Show author(s) (2004). Mixed finite elements for the Richards' equation: linearization procedure. Journal of Computational and Applied Mathematics. 365-373.
  • Show author(s) (2004). A priori error estimates for a mixed finite element discretization of the Richards' equation. Numerische Mathematik. 353-370.
  • Show author(s) (2002). Modeling of drug release from collagen matrices. Journal of Pharmaceutical Sciences. 964-972.
Report
  • Show author(s) (2017). A convergent mass conservative numerical scheme based on mixed finite elements for two-phase flow in porous media. .
Lecture
  • Show author(s) (2018). Domain Decomposition Preconditioner for Mixed-dimensional Flow Problems in Fractured Porous Media.
  • Show author(s) (2017). BDDC Preconditioner for Robust Discretization of Flow in Fractured Porous Media.
  • Show author(s) (2017). A two-phase flow simulation method with improved stability.
  • Show author(s) (2017). A robust implicit scheme for two-phase flow in porous media.
  • Show author(s) (2017). A BDDC Method for Robust Discretization of Flow in Fractured Porous Media.
Popular scientific lecture
  • Show author(s) (2019). Adaptive asynchronous time-stepping, stopping criteria, and a posteriori error estimates for fixed-stress iterative schemes for coupled poromechanics problems.
  • Show author(s) (2019). Adaptive asynchronous time-stepping, stopping criteria, and a posteriori error estimates for fixed-stress iterative schemes for coupled poromechanics problems.
  • Show author(s) (2019). Adaptive Fixed-stress Iterative Coupling Schemes based on a Posteriori Error Estimates for Biot's Consolidation Model.
Academic lecture
  • Show author(s) (2021). Robust block-partitioned solvers for poroelasticity derived from its gradient flow structures.
  • Show author(s) (2021). Robust block-partitioned solvers for flow in deformable porous media via alternating minimization.
  • Show author(s) (2021). Iterative splitting schemes for a fully dynamic poroelasticity model.
  • Show author(s) (2021). Block-partitioned solvers for poromechanics via gradient flows and minimization.
  • Show author(s) (2021). Block-partitioned solvers for a fully dynamic poromechanics model.
  • Show author(s) (2021). Anderson Acceleration for the Staggered Solution of Phase-Field Models for Fracture in Elastic Media.
  • Show author(s) (2021). An Accelerated Staggered Scheme for Phase-field Models of Fracture in Elastic Media.
  • Show author(s) (2020). Robust Block-Partitioned Solvers for Poroviscoelasticity.
  • Show author(s) (2020). On iterative solvers for nonlinear, coupled problems in porous media.
  • Show author(s) (2020). Numerical simulations of biofilms in core samples: MEOR and MICP.
  • Show author(s) (2020). Free Energy Diminishing Discretization of Darcy-Forchheimer Flow in Poroelastic Media.
  • Show author(s) (2019). Monolithic and Splitting Based Solution Schemes for Nonlinear Quasi-static Thermo-poroelasticity.
  • Show author(s) (2019). Mathematical modelling of the bio-plug technology: laboratory experiments, upscaling, and numerical simulations.
  • Show author(s) (2019). Constitutive relations modelling for dynamically altered porous medium.
  • Show author(s) (2018). Upscaling of coupled geomechanics, flow, and heat in a poroelastic medium in the quasi-static situation.
  • Show author(s) (2018). Impact of Wettability Evolution on Dynamic Capillary Pressure.
  • Show author(s) (2018). Impact of Time-Dependent Wettability Alteration on Capillary Pressure.
  • Show author(s) (2018). A Model for Dynamic Capillary Pressure with Time-Dependent Wettability Alteration.
  • Show author(s) (2017). An upscaled model for permeable biofilm formation in a thin strip.
Editorial
  • Show author(s) (2019). Preface. Lecture Notes in Computational Science and Engineering. v-vi.
  • Show author(s) (2019). Editorial. Computational Geosciences. 203-205.
Academic anthology/Conference proceedings
  • Show author(s) (2020). Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples. Springer.
  • Show author(s) (2019). Numerical Mathematics and Advanced Applications ENUMATH 2017. Springer Berlin/Heidelberg.
Thesis at a second degree level
  • Show author(s) (2013). Convergent mass conservative schemes for reactive solute transport and flow in variably saturated porous media.
Masters thesis
  • Show author(s) (2017). Existence and Uniqueness of Non-linear, Possibly Degenerate Parabolic PDEs, with Applications to Flow in Porous Media.
  • Show author(s) (2016). Modeling and Simulation of Microbial Enhanced Oil Recovery: A New Approach which Includes the Role of Interfacial Area.
  • Show author(s) (2016). Modeling and Simulation of Microbial Enhanced Oil Recovery: A New Approach which Includes the Role of Interfacial Area.
  • Show author(s) (2016). Microbially enhanced techniques for oil recovery and clogging.
  • Show author(s) (2016). Mathematical Modeling of Optimal Control Strategy for Microbial Enhanced Oil Recovery Processes.
  • Show author(s) (2016). Iterative schemes for solving coupled, non-linear flow and transport in porous media.
  • Show author(s) (2015). Numerical simulation of microbial enhanced oil recovery with focus on dynamic effects: an iterative approach.
  • Show author(s) (2015). Dynamic capillary effects in the simulation of flow and transport in porous media: a new linearization scheme.
  • Show author(s) (2015). A robust implicit scheme for two-phase flow in porous media.
  • Show author(s) (2014). Modeling of oil reservoirs with focus on microbial induced effects.
  • Show author(s) (2014). Mathematical modelling of slow drug release from collagen matrices.
  • Show author(s) (2013). Modeling fluid flow and heat transport in fractured porous media.
  • Show author(s) (2013). Modeling and simulation of concrete carbonation in 1D using two point flux approximation.
Doctoral dissertation
  • Show author(s) (2022). Development of robust and efficient solution strategies for coupled problems.
  • Show author(s) (2019). Upscaling, analysis, and iterative numerical solution schemes for thermo-poroelasticity.
  • Show author(s) (2019). Mathematical modeling of microbial enhanced oil recovery with focus on bio-plug technology: from the pore to the core scale.
  • Show author(s) (2019). Mathematical and Numerical Analysis of Flow in Deformable Porous Media.
  • Show author(s) (2019). Iterative solvers for poromechanics.
  • Show author(s) (2018). Development and implementation of the generalized continuum model for transport in porous media.
  • Show author(s) (2017). Numerical analysis of an interior penalty discontinuous Galerkin scheme for two phase flow in heterogeneous porous media with discontinuous dynamic capillary pressure effects.
Academic chapter/article/Conference paper
  • Show author(s) (2020). Free Energy Diminishing Discretization of Darcy-Forchheimer Flow in Poroelastic Media. 9 pages.
  • Show author(s) (2018). Impact of Wettability Evolution on Dynamic Capillary Pressure.
  • Show author(s) (2017). Iterative Methods for Coupled Flow and Geomechanics in Unsaturated Porous Media.
  • Show author(s) (2017). A Non-standard Model for Microbial Enhanced Oil Recovery Including the Oil-water Interfacial Area .
  • Show author(s) (2013). Numerical analysis for an upscaled model for dissolution and precipitation in porous media. 10 pages.
  • Show author(s) (2013). An improved optimal order mixed finite element method for semilinear transport problems. 10 pages.
Abstract
  • Show author(s) (2018). Impact of time-dependent wettability alteration on dynamic capillary pressure. EAGE Fifth CO2 Geological Storage Workshop.
Poster
  • Show author(s) (2019). Constitutive relations for dynamic wettability transition zones.
  • Show author(s) (2019). Biofilms in porous media: laboratory experiments, mathematical modeling and upscaling.
  • Show author(s) (2018). Mathematical modelling of bacterial growth at different scales: numerical simulations and laboratory experiments.
  • Show author(s) (2018). Mathematical modeling of biofilm formation: from the pore-scale to the core-scale.
  • Show author(s) (2018). Efficient Linear Solvers for Mixed-dimensional Flow Problems in Fractured Porous Media.
  • Show author(s) (2017). BDDC Preconditioner for Robust Discretization of Flow in Fractured Porous Media.
  • Show author(s) (2017). A pore-scale model for permeable biofilm: numerical simulations and laboratory experiments.

More information in national current research information system (CRIStin)