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Vitenskapelig artikkel
- (2024). Unified flash calculations with isenthalpic and isochoric constraints. Fluid Phase Equilibria.
- (2024). Splitting schemes for coupled differential equations: Block Schur-based approaches & Partial Jacobi approximation[Formula presented]. Computers and Mathematics with Applications. 190-201.
- (2024). Convergence of a continuous Galerkin method for hyperbolic-parabolic systems. Computers and Mathematics with Applications. 118-138.
- (2023). Space–time upscaling of reactive transport in porous media. Advances in Water Resources.
- (2023). Microseismic wavefield modelling in anisotropic elastic media using integral equation method. Geophysical Prospecting.
- (2023). An adaptive solution strategy for Richards' equation. Computers and Mathematics with Applications. 155-167.
- (2023). A robust solution strategy for the Cahn-Larché equations. Computers and Mathematics with Applications. 112-126.
- (2022). Towards hybrid two-phase modelling using linear domain decomposition. Numerical Methods for Partial Differential Equations. 622-656.
- (2022). Global random walk solvers for reactive transport and biodegradation processes in heterogeneous porous media. Advances in Water Resources.
- (2022). Efficient Solvers for Nonstandard Models for Flow and Transport in Unsaturated Porous Media. ROMAI Journal. 31-73.
- (2022). A posteriori error estimates for hierarchical mixed-dimensional elliptic equations. Journal of Numerical Mathematics.
- (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.
- (2021). Robust Linear Domain Decomposition Schemes for Reduced Nonlinear Fracture Flow Models. SIAM Journal on Numerical Analysis. 583-612.
- (2021). Numerical homogenization of non-linear parabolic problems on adaptive meshes. Journal of Computational Physics. 1-18.
- (2021). Modeling of relative permeabilities including dynamic wettability transition zones. Journal of Petroleum Science and Engineering. 14 sider.
- (2021). Iterative splitting schemes for a soft material poromechanics model. Computer Methods in Applied Mechanics and Engineering. 1-29.
- (2021). Iterative Coupling for Fully Dynamic Poroelasticity. Lecture Notes in Computational Science and Engineering. 115-123.
- (2021). Global random walk solvers for fully coupled flow and transport in saturated/unsaturated porous media. Advances in Water Resources. 17 sider.
- (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.
- (2021). An accelerated staggered scheme for variational phase-field models of brittle fracture. Computer Methods in Applied Mechanics and Engineering. 1-19.
- (2021). A Cahn-Hilliard-Biot system and its generalized gradient flow structure. Applied Mathematics Letters. 8 sider.
- (2020). Rigorous upscaling of unsaturated flow in fractured porous media. SIAM Journal on Mathematical Analysis. 239-276.
- (2020). Post-processed Galerkin approximation of improved order for wave equations. Mathematics of Computation. 595-627.
- (2020). Monolithic and splitting solution schemes for fully coupled quasi-static thermo-poroelasticity with nonlinear convective transport. Computers and Mathematics with Applications. 1964-1984.
- (2020). Mathematical modeling, laboratory experiments, and sensitivity analysis of bioplug technology at Darcy scale. SPE Journal. 3120-3137.
- (2020). Iterative solvers for Biot model under small and large deformations. Computational Geosciences.
- (2020). Iterative schemes for surfactant transport in porous media. Computational Geosciences. 805-822.
- (2020). Implicit linearization scheme for nonstandard two-phase flow in porous media. International Journal for Numerical Methods in Fluids. 1-17.
- (2020). Impact of time-dependent wettability alteration on the dynamics of capillary pressure. Advances in Water Resources.
- (2020). Formal upscaling and numerical validation of unsaturated flow models in fractured porous media. Journal of Computational Physics. 21 sider.
- (2020). Formal upscaling and numerical validation of unsaturated flow models in fractured porous media. Journal of Computational Physics.
- (2020). An iterative staggered scheme for phase field brittle fracture propagation with stabilizing parameters. Computer Methods in Applied Mechanics and Engineering. 1-22.
- (2020). An Upscaled Model for Permeable Biofilm in a Thin Channel and Tube. Transport in Porous Media. 83-112.
- (2019). Well-posedness of the fully coupled quasi-static thermo-poroelastic equations with nonlinear convective transport. Journal of Mathematical Analysis and Applications. 239-266.
- (2019). On the optimization of the fixed‐stress splitting for Biot's equations. International Journal for Numerical Methods in Engineering. 179-194.
- (2019). Numerical solvers for a poromechanic problem with a moving boundary. Mathematics in Engineering. 824-848.
- (2019). Numerical Simulation of Biofilm Formation in a Microchannel. Lecture Notes in Computational Science and Engineering. 799-807.
- (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.
- (2019). Iterative Linearisation Schemes for Doubly Degenerate Parabolic Equations. Lecture Notes in Computational Science and Engineering. 49-63.
- (2019). Higher Order Space-Time Elements for a Non-linear Biot Model. Lecture Notes in Computational Science and Engineering. 541-549.
- (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.
- (2019). A pore-scale study of transport of inertial particles by water in porous media. Chemical Engineering Science (CES). 397-409.
- (2019). A Linear Domain Decomposition Method for Two-Phase Flow in Porous Media. Lecture Notes in Computational Science and Engineering. 603-614.
- (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.
- (2018). Upscaling of the coupling of hydromechanical and thermal processes in a quasi-static poroelastic medium. Transport in Porous Media. 137-158.
- (2018). Transport of polymer particles in oil–water flow in porous media: Enhancing oil recovery. Transport in Porous Media. 1-19.
- (2018). Robust iterative schemes for non-linear poromechanics. Computational Geosciences. 1021-1038.
- (2018). On the ability of the generalized continuum transport model to properly capture dispersion. Analele Universităţii "Ovidius" Constanţa. Seria Matematică. 285-299.
- (2018). Hermite analogs of the lowest order Raviart–Thomas mixed method for convection–diffusion equations. Computational & Applied Mathemathics. 2693-2713.
- (2018). Anderson accelerated fixed-stress splitting schemes for consolidation of unsaturated porous media. Computers and Mathematics with Applications. 1479-1502.
- (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.
- (2018). A pore-scale model for permeable biofilm: Numerical simulations and laboratory experiments. Transport in Porous Media. 643-660.
- (2018). A partially parallel-in-time fixed-stress splitting method for Biot’s consolidation model. Computers and Mathematics with Applications. 1466-1478.
- (2018). A linear domain decomposition method for partially saturated flow in porous media. Computer Methods in Applied Mechanics and Engineering. 331-355.
- (2017). Space-time finite element approximation of the Biot poroelasticity system with iterative coupling. Computer Methods in Applied Mechanics and Engineering. 745-768.
- (2017). Robust fixed stress splitting for Biot's equations in heterogeneous media. Applied Mathematics Letters. 101-108.
- (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.
- (2017). Modeling and Simulation of Microbial Enhanced Oil Recovery Including Interfacial Area. Transport in Porous Media. 395-413.
- (2017). Error analysis for discretizations of parabolic problems using continuous finite elements in time and mixed finite elements in space. Numerische Mathematik. 773-818.
- (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.
- (2017). A robust, mass conservative scheme for two-phase flow in porous media including Hoelder continuous nonlinearities. IMA Journal of Numerical Analysis. 884-920.
- (2016). Upscaling of Nonisothermal Reactive Porous Media Flow under Dominant Péclet Number: The Effect of Changing Porosity. Multiscale Modeling & simulation. 502-533.
- (2016). A study on iterative methods for solving Richards’ equation. Computational Geosciences. 341-353.
- (2015). Upscaling of non-isothermal reactive porous media flow with changing porosity. Transport in Porous Media. 371-393.
- (2015). Solute transport in aquifers with evolving scale heterogeneity. Analele Universităţii "Ovidius" Constanţa. Seria Matematică. 167-186.
- (2015). Consistency issues in pdf methods. Analele Universităţii "Ovidius" Constanţa. Seria Matematică. 187-208.
- (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.
- (2015). A model for non-isothermal flow and mineral precipitation and dissolution in a thin strip. Journal of Computational and Applied Mathematics. 346-355.
- (2015). A Fokker-Planck approach for probability distributions of species concentrations transported in heterogeneous media. Journal of Computational and Applied Mathematics. 241-252.
- (2014). Pore scale model for non-isothermal flow and mineral precipitation and dissolution in a thin strip. Journal of Computational and Applied Mathematics. 14 sider.
- (2014). Convergence analysis for a conformal discretization of a model for precipitation and dissolution in porous media. Numerische Mathematik. 715-749.
- (2014). Analysis of an upwind-mixed hybrid finite element method for transport problems. SIAM Journal on Numerical Analysis. 83-102.
- (2013). Drug release from collagen matrices including an evolving microstructure. Zeitschrift für angewandte Mathematik und Mechanik. 811-822.
- (2013). Convergence analysis of mixed numerical schemes for reactive flow in a porous medium. SIAM Journal on Numerical Analysis. 2283-2308.
- (2013). A mixed finite element discretization scheme for a concrete carbonation model with concentration-dependent porosity. Journal of Computational and Applied Mathematics. 74-85.
- (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.
- (2012). Predicting predominant thermal convection in thermohaline flows in saturated porous media. Advances in Water Resources. 23-36.
- (2012). Optimal order convergence of a modified BDM1 mixed finite element scheme for reactive transport in porous media. Advances in Water Resources. 163-171.
- (2011). The stability of density-driven flows in saturated heterogeneous porous media. Advances in Water Resources. 1464-1482.
- (2011). The effect of dispersion on the stability of density-driven flows in saturated homogeneous porous media. Advances in Water Resources. 417-432.
- (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.
- (2010). Newton method for reactive solute transport with equilibrium sorption in porous media. Journal of Computational and Applied Mathematics. 2118-2127.
- (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.
- (2009). A stability criterion for density-driven flows in a homogeneous medium. Advances in Water Resources. 796-808.
- (2008). Error estimates for a mixed finite element discretization of some degenerate parabolic equations. Numerische Mathematik. 285-311.
- (2008). Convergence of MPFA on triangulations and for Richards' equation. International Journal for Numerical Methods in Fluids. 1327-1351.
- (2007). A model describing the effect of enzymatic degradation on drug release from collagen minirods. European journal of pharmaceutics and biopharmaceutics. 349-360.
- (2004). Order of Convergence Estimates for an Euler Implicit, Mixed Finite Element Discretization of Richards' Equation. SIAM Journal on Numerical Analysis. 1452-1478.
- (2004). Mixed finite elements for the Richards' equation: linearization procedure. Journal of Computational and Applied Mathematics. 365-373.
- (2004). A priori error estimates for a mixed finite element discretization of the Richards' equation. Numerische Mathematik. 353-370.
- (2002). Modeling of drug release from collagen matrices. Journal of Pharmaceutical Sciences. 964-972.
Rapport
- (2017). A convergent mass conservative numerical scheme based on mixed finite elements for two-phase flow in porous media. .
Faglig foredrag
- (2018). Domain Decomposition Preconditioner for Mixed-dimensional Flow Problems in Fractured Porous Media.
- (2017). BDDC Preconditioner for Robust Discretization of Flow in Fractured Porous Media.
- (2017). A two-phase flow simulation method with improved stability.
- (2017). A robust implicit scheme for two-phase flow in porous media.
- (2017). A BDDC Method for Robust Discretization of Flow in Fractured Porous Media.
Populærvitenskapelig foredrag
- (2019). Adaptive asynchronous time-stepping, stopping criteria, and a posteriori error estimates for fixed-stress iterative schemes for coupled poromechanics problems.
- (2019). Adaptive asynchronous time-stepping, stopping criteria, and a posteriori error estimates for fixed-stress iterative schemes for coupled poromechanics problems.
- (2019). Adaptive Fixed-stress Iterative Coupling Schemes based on a Posteriori Error Estimates for Biot's Consolidation Model.
Vitenskapelig foredrag
- (2023). Fast integral equation method for microseismic wavefield modelling in anisotropic elastic media.
- (2023). An isenthalpic formulation for simulating geothermal systems with phase changes.
- (2023). An adaptive solution strategy for Richards' equation.
- (2023). A Robust and Reliable L-Scheme/Newton Switching Algorithm for Richards’ Equation.
- (2021). Robust block-partitioned solvers for poroelasticity derived from its gradient flow structures.
- (2021). Robust block-partitioned solvers for flow in deformable porous media via alternating minimization.
- (2021). Iterative splitting schemes for a fully dynamic poroelasticity model.
- (2021). Block-partitioned solvers for poromechanics via gradient flows and minimization.
- (2021). Block-partitioned solvers for a fully dynamic poromechanics model.
- (2021). Anderson Acceleration for the Staggered Solution of Phase-Field Models for Fracture in Elastic Media.
- (2021). An Accelerated Staggered Scheme for Phase-field Models of Fracture in Elastic Media.
- (2020). Robust Block-Partitioned Solvers for Poroviscoelasticity.
- (2020). On iterative solvers for nonlinear, coupled problems in porous media.
- (2020). Numerical simulations of biofilms in core samples: MEOR and MICP.
- (2020). Free Energy Diminishing Discretization of Darcy-Forchheimer Flow in Poroelastic Media.
- (2019). Monolithic and Splitting Based Solution Schemes for Nonlinear Quasi-static Thermo-poroelasticity.
- (2019). Mathematical modelling of the bio-plug technology: laboratory experiments, upscaling, and numerical simulations.
- (2019). Constitutive relations modelling for dynamically altered porous medium.
- (2018). Upscaling of coupled geomechanics, flow, and heat in a poroelastic medium in the quasi-static situation.
- (2018). Impact of Wettability Evolution on Dynamic Capillary Pressure.
- (2018). Impact of Time-Dependent Wettability Alteration on Capillary Pressure.
- (2018). A Model for Dynamic Capillary Pressure with Time-Dependent Wettability Alteration.
- (2017). An upscaled model for permeable biofilm formation in a thin strip.
Leder
- (2019). Preface. Lecture Notes in Computational Science and Engineering. v-vi.
- (2019). Editorial. Computational Geosciences. 203-205.
Vitenskapelig antologi/Konferanseserie
- (2020). Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples. Springer.
- (2019). Numerical Mathematics and Advanced Applications ENUMATH 2017. Springer Berlin/Heidelberg.
Hovedfagsoppgave
- (2013). Convergent mass conservative schemes for reactive solute transport and flow in variably saturated porous media.
Mastergradsoppgave
- (2017). Existence and Uniqueness of Non-linear, Possibly Degenerate Parabolic PDEs, with Applications to Flow in Porous Media.
- (2016). Modeling and Simulation of Microbial Enhanced Oil Recovery: A New Approach which Includes the Role of Interfacial Area.
- (2016). Modeling and Simulation of Microbial Enhanced Oil Recovery: A New Approach which Includes the Role of Interfacial Area.
- (2016). Microbially enhanced techniques for oil recovery and clogging.
- (2016). Mathematical Modeling of Optimal Control Strategy for Microbial Enhanced Oil Recovery Processes.
- (2016). Iterative schemes for solving coupled, non-linear flow and transport in porous media.
- (2015). Numerical simulation of microbial enhanced oil recovery with focus on dynamic effects: an iterative approach.
- (2015). Dynamic capillary effects in the simulation of flow and transport in porous media: a new linearization scheme.
- (2015). A robust implicit scheme for two-phase flow in porous media.
- (2014). Modeling of oil reservoirs with focus on microbial induced effects.
- (2014). Mathematical modelling of slow drug release from collagen matrices.
- (2013). Modeling fluid flow and heat transport in fractured porous media.
- (2013). Modeling and simulation of concrete carbonation in 1D using two point flux approximation.
Doktorgradsavhandling
- (2022). Development of robust and efficient solution strategies for coupled problems.
- (2019). Upscaling, analysis, and iterative numerical solution schemes for thermo-poroelasticity.
- (2019). Mathematical modeling of microbial enhanced oil recovery with focus on bio-plug technology: from the pore to the core scale.
- (2019). Mathematical and Numerical Analysis of Flow in Deformable Porous Media.
- (2019). Iterative solvers for poromechanics.
- (2018). Development and implementation of the generalized continuum model for transport in porous media.
- (2017). Numerical analysis of an interior penalty discontinuous Galerkin scheme for two phase flow in heterogeneous porous media with discontinuous dynamic capillary pressure effects.
Vitenskapelig Kapittel/Artikkel/Konferanseartikkel
- (2023). An isenthalpic formulation for simulating geothermal systems with phase changes.
- (2020). Free Energy Diminishing Discretization of Darcy-Forchheimer Flow in Poroelastic Media. 9 sider.
- (2018). Impact of Wettability Evolution on Dynamic Capillary Pressure.
- (2017). Iterative Methods for Coupled Flow and Geomechanics in Unsaturated Porous Media.
- (2017). A Non-standard Model for Microbial Enhanced Oil Recovery Including the Oil-water Interfacial Area .
- (2013). Numerical analysis for an upscaled model for dissolution and precipitation in porous media. 10 sider.
- (2013). An improved optimal order mixed finite element method for semilinear transport problems. 10 sider.
Sammendrag/abstract
- (2018). Impact of time-dependent wettability alteration on dynamic capillary pressure. EAGE Fifth CO2 Geological Storage Workshop.
Poster
- (2019). Constitutive relations for dynamic wettability transition zones.
- (2019). Biofilms in porous media: laboratory experiments, mathematical modeling and upscaling.
- (2018). Mathematical modelling of bacterial growth at different scales: numerical simulations and laboratory experiments.
- (2018). Mathematical modeling of biofilm formation: from the pore-scale to the core-scale.
- (2018). Efficient Linear Solvers for Mixed-dimensional Flow Problems in Fractured Porous Media.
- (2017). BDDC Preconditioner for Robust Discretization of Flow in Fractured Porous Media.
- (2017). A pore-scale model for permeable biofilm: numerical simulations and laboratory experiments.