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Derivation and analysis of an effective model for biofilm growth in evolving porous media

Mathematical methods in the applied sciences, 2017-05, Vol.40 (8), p.2930-2948

2017

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AN EFFECTIVE MODEL FOR BIOFILM GROWTH MADE BY CHEMOTACTICAL BACTERIA IN EVOLVING POROUS MEDIA

SIAM journal on applied mathematics, 2017-01, Vol.77 (5), p.1653-1677

2017

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Convergence order estimates of the local discontinuous Galerkin method for instationary Darcy flow

Numerical methods for partial differential equations, 2017-07, Vol.33 (4), p.1374-1394

2017

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Error estimates for completely discrete FEM in energy‐type and weaker norms

Numerical methods for partial differential equations, 2024-05

2024

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Local existence of strong solutions to micro–macro models for reactive transport in evolving porous media

European journal of applied mathematics, 2024-02, Vol.35 (1), p.127-154

2024

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Mathematical analysis of a discrete fracture model coupling Darcy flow in the matrix with Darcy–Forchheimer flow in the fracture

ESAIM. Mathematical modelling and numerical analysis, 2014-09, Vol.48 (5), p.1451-1472

2014

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UPSCALING THE FLOW AND TRANSPORT IN AN EVOLVING POROUS MEDIUM WITH GENERAL INTERACTION POTENTIALS

SIAM journal on applied mathematics, 2015-01, Vol.75 (5), p.2170-2192

2015

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ANALYSIS OF A MODIFIED SECOND-ORDER MIXED HYBRID BDM₁ FINITE ELEMENT METHOD FOR TRANSPORT PROBLEMS IN DIVERGENCE FORM

SIAM journal on numerical analysis, 2016-01, Vol.54 (4), p.2359-2378

2016

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ANALYSIS OF AN UPWIND-MIXED HYBRID FINITE ELEMENT METHOD FOR TRANSPORT PROBLEMS

SIAM journal on numerical analysis, 2014-01, Vol.52 (1), p.83-102

2014

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Global Implicit Solver for Multiphase Multicomponent Flow in Porous Media with Multiple Gas Phases and General Reactions

Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples, p.595-603

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Drug release from collagen matrices including an evolving microstructure

Zeitschrift für angewandte Mathematik und Mechanik, 2013-10, Vol.93 (10-11), p.811-822

2013

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Existence and Uniqueness of a Global Solution for Reactive Transport with Mineral Precipitation-Dissolution and Aquatic Reactions in Porous Media

SIAM journal on mathematical analysis, 2017-01, Vol.49 (6), p.4812-4837

2017

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Error estimates for a mixed finite element discretization of some degenerate parabolic equations

Numerische Mathematik, 2008-04, Vol.109 (2), p.285-311

2008

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First-order convergence of multi-point flux approximation on triangular grids and comparison with mixed finite element methods

Numerische Mathematik, 2010-07, Vol.116 (1), p.1-29

2010

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Order of Convergence Estimates for an Euler Implicit, Mixed Finite Element Discretization of Richards' Equation

SIAM journal on numerical analysis, 2004-01, Vol.42 (4), p.1452

2004

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The semismooth Newton method for the solution of reactive transport problems including mineral precipitation-dissolution reactions

Computational optimization and applications, 2011-10, Vol.50 (2), p.193-221

2011

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Consistency issues in PDF methods

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică, 2015-11, Vol.23 (3), p.187-208

2015

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Solute transport in aquifers with evolving scale heterogeneity

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică, 2015-11, Vol.23 (3), p.167-186

2015

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Uniform Error Analysis for Lagrange-Galerkin Approximations of Convection-Dominated Problems

SIAM journal on numerical analysis, 2002, Vol.39 (6), p.1954-1984

2002

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A priori error estimates for a mixed finite element discretization of the Richards' equation

Numerische Mathematik, 2004-08, Vol.98 (2), p.353-370

2004

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Experimental design for outflow experiments based on a multi-level identification method for material laws

Inverse problems, 2003-10, Vol.19 (5), p.1011-1030

2003

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The invertibility of the isoparametric mapping for pyramidal and prismatic finite elements

Numerische Mathematik, 2001-06, Vol.88 (4), p.661-681

2001

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An Improved Error Bound for a Lagrange-Galerkin Method for Contaminant Transport with Non-Lipschitzian Adsorption Kinetics

SIAM journal on numerical analysis, 1998-10, Vol.35 (5), p.1862-1882

1998

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An error estimator for a finite volume discretization of density driven flow in porous media

Applied numerical mathematics, 1998, Vol.26 (1), p.179-191

1998

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Global existence in a general Stefan-like problem

Journal of mathematical analysis and applications, 1986-05, Vol.115 (2), p.543-559

Knabner, Peter

1986

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Derivation and analysis of an effective model for biofilm growth in evolving porous media

AN EFFECTIVE MODEL FOR BIOFILM GROWTH MADE BY CHEMOTACTICAL BACTERIA IN EVOLVING POROUS MEDIA

Convergence order estimates of the local discontinuous Galerkin method for instationary Darcy flow

Error estimates for completely discrete FEM in energy‐type and weaker norms

Local existence of strong solutions to micro–macro models for reactive transport in evolving porous media

Mathematical analysis of a discrete fracture model coupling Darcy flow in the matrix with Darcy–Forchheimer flow in the fracture

UPSCALING THE FLOW AND TRANSPORT IN AN EVOLVING POROUS MEDIUM WITH GENERAL INTERACTION POTENTIALS

ANALYSIS OF A MODIFIED SECOND-ORDER MIXED HYBRID BDM₁ FINITE ELEMENT METHOD FOR TRANSPORT PROBLEMS IN DIVERGENCE FORM

ANALYSIS OF AN UPWIND-MIXED HYBRID FINITE ELEMENT METHOD FOR TRANSPORT PROBLEMS

Global Implicit Solver for Multiphase Multicomponent Flow in Porous Media with Multiple Gas Phases and General Reactions

Drug release from collagen matrices including an evolving microstructure

Existence and Uniqueness of a Global Solution for Reactive Transport with Mineral Precipitation-Dissolution and Aquatic Reactions in Porous Media

Error estimates for a mixed finite element discretization of some degenerate parabolic equations

First-order convergence of multi-point flux approximation on triangular grids and comparison with mixed finite element methods

Order of Convergence Estimates for an Euler Implicit, Mixed Finite Element Discretization of Richards' Equation

The semismooth Newton method for the solution of reactive transport problems including mineral precipitation-dissolution reactions

Consistency issues in PDF methods

Solute transport in aquifers with evolving scale heterogeneity

Uniform Error Analysis for Lagrange-Galerkin Approximations of Convection-Dominated Problems

A priori error estimates for a mixed finite element discretization of the Richards' equation

Experimental design for outflow experiments based on a multi-level identification method for material laws

The invertibility of the isoparametric mapping for pyramidal and prismatic finite elements

An Improved Error Bound for a Lagrange-Galerkin Method for Contaminant Transport with Non-Lipschitzian Adsorption Kinetics

An error estimator for a finite volume discretization of density driven flow in porous media

Global existence in a general Stefan-like problem

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