Peter Knabner

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Person:204216

Available identifiers

zbMath Open knabner.peterWikidataQ27062854 ScholiaQ27062854MaRDI QIDQ204216

List of research outcomes

PublicationDate of PublicationType
Hybridizable discontinuous Galerkin method with mixed-order spaces for nonlinear diffusion equations with internal jumps2023-08-09Paper
Error estimates for completely discrete FEM in energy-type and weaker norms2023-01-17Paper
Efficient numerical solution of micro–macro models for multicomponent transport and reaction problems in porous media2022-08-23Paper
Comparison study of phase-field and level-set method for three-phase systems including two minerals2022-06-20Paper
Global implicit solver for multiphase multicomponent flow in porous media with multiple gas components and general reactions. Global implicit solver for multiple gas components2022-06-20Paper
Efficiency of Micro-Macro Models for Reactive Two-Mineral Systems2022-06-13Paper
Local existence of strong solutions to micro-macro models for reactive transport in evolving porous media2022-01-31Paper
Robust simulation of mineral precipitation-dissolution problems with variable mineral surface area2021-12-13Paper
FESTUNG: A MATLAB / GNU Octave Toolbox for the Discontinuous Galerkin Method. Part IV: Generic Problem Framework and Model-Coupling Interface2021-11-02Paper
Numerical Methods for Elliptic and Parabolic Partial Differential Equations2021-08-24Paper
Homogenization of Two-Phase Flow in Porous Media From Pore to Darcy Scale: A Phase-Field Approach2021-04-08Paper
Wavelet-based priors accelerate maximum-a-posteriori optimization in Bayesian inverse problems2021-01-18Paper
FESTUNG 1.0: overview, usage, and example applications of the MATLAB/GNU Octave toolbox for discontinuous Galerkin methods2020-12-18Paper
FESTUNG: A~MATLAB/GNU~Octave~toolbox for the discontinuous Galerkin method. I: Diffusion operator2020-10-12Paper
Discontinuous Galerkin method for coupling hydrostatic free surface flows to saturated subsurface systems2020-10-02Paper
Global Implicit Solver for Multiphase Multicomponent Flow in Porous Media with Multiple Gas Phases and General Reactions2020-08-25Paper
FESTUNG: a MATLAB/GNU Octave toolbox for the discontinuous Galerkin method. III: Hybridized discontinuous Galerkin (HDG) formulation2019-07-03Paper
Editorial2019-05-28Paper
Effective interface conditions for processes through thin heterogeneous layers with nonlinear transmission at the microscopic bulk-layer interface2019-05-24Paper
A global implicit solver for miscible reactive multiphase multicomponent flow in porous media2019-05-06Paper
Analysis of a mixed discontinuous Galerkin method for instationary Darcy flow2019-01-22Paper
A local discontinuous Galerkin scheme for Darcy flow with internal jumps2018-10-05Paper
FESTUNG: A MATLAB /GNU Octave toolbox for the discontinuous Galerkin method. Part IV: Generic problem framework and model-coupling interface2018-06-11Paper
Lineare Algebra2018-04-11Paper
Convergence analysis of a BDF2 / mixed finite element discretization of a Darcy–Nernst–Planck–Poisson system2018-01-10Paper
Existence and Uniqueness of a Global Solution for Reactive Transport with Mineral Precipitation-Dissolution and Aquatic Reactions in Porous Media2017-12-08Paper
Strong solvability up to clogging of an effective diffusion–precipitation model in an evolving porous medium2017-11-24Paper
An Effective Model for Biofilm Growth Made by Chemotactical Bacteria in Evolving Porous Media2017-09-25Paper
Convergence order estimates of the local discontinuous Galerkin method for instationary Darcy flow2017-08-24Paper
Derivation and analysis of an effective model for biofilm growth in evolving porous media2017-08-22Paper
Mathematical modelling2017-08-17Paper
Linear algebra. Problems and solutions. In cooperation with Fabian Brunner, Volker Grimm, Matthias Herz, Fabian Klingbeil, Alexander Prechtel, Raphael Schulz, Juliett Kille and Cornelia Weber2017-08-08Paper
Mathematik für Ingenieure und Naturwissenschaftler2017-06-30Paper
Endlich gelöst! Aufgaben zur Mathematik für Ingenieure und Naturwissenschaftler2017-06-30Paper
A priori error analysis for the Galerkin finite element semi-discretization of a parabolic system with non-Lipschitzian nonlinearity2017-06-23Paper
Derivation of an effective model for metabolic processes in living cells including substrate channeling2017-06-23Paper
Mathematical Modeling2017-05-15Paper
Derivation of effective transmission conditions for domains separated by a membrane for different scaling of membrane diffusivity2017-05-03Paper
FESTUNG: a MATLAB/GNU octave toolbox for the discontinuous Galerkin method. II: Advection operator and slope limiting2017-04-11Paper
Numerical investigation of homogenized Stokes-Nernst-Planck-Poisson systems2017-04-03Paper
Efficient Realization of the Mixed Finite Element Discretization for nonlinear Problems2016-10-18Paper
Homogenization of Reaction--Diffusion Processes in a Two-Component Porous Medium with Nonlinear Flux Conditions at the Interface2016-09-23Paper
Hybrid Discretization Methods for Transient Numerical Simulation of Combustion in Porous Media2016-08-31Paper
Sovability of the mixed Formulation for Darcy-Forchheimer Flow in Porous Media2016-08-31Paper
Including van der Waals Forces in Diffusion-Convection Equations - Modeling, Analysis, and Numerical Simulations2016-08-30Paper
Analysis of a Modified Second-Order Mixed Hybrid $BDM_1$ Finite Element Method for Transport Problems in Divergence Form2016-08-16Paper
Modeling and simulation of coagulation according to DLVO-theory in a continuum model for electrolyte solutions2016-05-27Paper
Global existence of weak solutions of a model for electrolyte solutions - Part 1: Two-component case2016-05-24Paper
Global existence of weak solutions of a model for electrolyte solutions - Part 2: Multicomponent case2016-05-24Paper
A thermodynamically consistent model for multicomponent electrolyte solutions2016-05-24Paper
Upscaling the Flow and Transport in an Evolving Porous Medium with General Interaction Potentials2015-10-01Paper
FV Upwind Stabilization of FE Discretizations for Advection–Diffusion Problems2014-10-31Paper
Mathematical analysis of a discrete fracture model coupling Darcy flow in the matrix with Darcy–Forchheimer flow in the fracture2014-10-17Paper
Analysis of an Upwind-Mixed Hybrid Finite Element Method for Transport Problems2014-05-19Paper
Finally solved. Problems in mathematics for engineers and scientists. Linear algebra and analysis in \(\mathbb R\)2014-04-23Paper
Multiscale Modeling of Colloidal Dynamics in Porous Media: Capturing Aggregation and Deposition Effects2014-04-16Paper
https://portal.mardi4nfdi.de/entity/Q54101552014-04-15Paper
Drug release from collagen matrices including an evolving microstructure2014-03-28Paper
Mathematik für Ingenieure und Naturwissenschaftler2013-12-10Paper
An Improved Optimal Order Mixed Finite Element Method for Semilinear Transport Problems2013-07-10Paper
Linear algebra. Essentials and applications2013-06-14Paper
A coupled finite element-global random walk approach to advection-dominated transport in porous media with random hydraulic conductivity2013-04-22Paper
Existence and uniqueness of a global weak solution of a Darcy-Nernst-Planck-Poisson system2013-01-24Paper
Rigorous homogenization of a Stokes-Nernst-Planck-Poisson system2012-03-29Paper
The semismooth Newton method for the solution of reactive transport problems including mineral precipitation-dissolution reactions2012-03-09Paper
Mathematical modelling2011-03-28Paper
Error Estimates for a Finite Element Discretization of a Phase Field Model for Mixtures2011-01-24Paper
Numerical simulation of drug release from collagen matrices by enzymatic degradation2010-11-03Paper
Reactive transport benchmark of MoMaS2010-10-04Paper
A parallel global-implicit 2-D solver for reactive transport problems in porous media based on a reduction scheme and its application to the MoMaS benchmark problem2010-10-04Paper
Comparison of numerical methods for simulating strongly nonlinear and heterogeneous reactive transport problems --- the MoMaS benchmark case2010-10-04Paper
First-order convergence of multi-point flux approximation on triangular grids and comparison with mixed finite element methods2010-08-06Paper
https://portal.mardi4nfdi.de/entity/Q53068812010-04-12Paper
Error estimates for a mixed finite element discretization of some degenerate parabolic equations2008-05-05Paper
Mathematical modelling2008-02-07Paper
https://portal.mardi4nfdi.de/entity/Q52920792007-06-19Paper
On uniform convergence rates for Eulerian and Lagrangian finite element approximations of convection-dominated diffusion problems2007-02-01Paper
Numerical simulation of contaminant biodegradation by higher order methods and adaptive time stepping2005-06-14Paper
Order of Convergence Estimates for an Euler Implicit, Mixed Finite Element Discretization of Richards' Equation2005-03-01Paper
A priori error estimates for a mixed finite element discretization of the Richard's equation2004-10-01Paper
Mixed finite elements for the Richards' equation: linearization procedure2004-08-16Paper
Experimental design for outflow experiments based on a multi-level identification method for material laws2004-05-18Paper
https://portal.mardi4nfdi.de/entity/Q44504722004-02-15Paper
Numerical Methods for Elliptic and Parabolic Partial Differential Equations2003-08-13Paper
An efficient method for solving an inverse problem for the Richards equation2003-02-23Paper
https://portal.mardi4nfdi.de/entity/Q31526292002-10-23Paper
Uniform Error Analysis for Lagrange--Galerkin Approximations of Convection-Dominated Problems2002-07-08Paper
A two-scale method for the computation of solid-liquid phase transitions with dendritic microstructure2002-01-01Paper
https://portal.mardi4nfdi.de/entity/Q47816472002-01-01Paper
Transient Numerical Simulation of Combustion in Inert Porous Media2001-12-19Paper
The invertibility of the isoparametric mapping for pyramidal and prismatic finite elements2001-09-19Paper
Solute transport in porous media with equilibrium and nonequilibrium multiple-site adsorption: Uniqueness of weak solutions2001-03-27Paper
https://portal.mardi4nfdi.de/entity/Q27375062001-01-01Paper
https://portal.mardi4nfdi.de/entity/Q44977282000-08-23Paper
https://portal.mardi4nfdi.de/entity/Q45138292000-01-01Paper
https://portal.mardi4nfdi.de/entity/Q42617951999-09-16Paper
Finite Element Approximation of The Transport of Reactive Solutes in Porous Media. Part II: Error Estimates for Equilibrium Adsorption Processes1999-01-19Paper
https://portal.mardi4nfdi.de/entity/Q43704721998-12-02Paper
https://portal.mardi4nfdi.de/entity/Q43563111998-10-11Paper
An Improved Error Bound for a Lagrange--Galerkin Method for Contaminant Transport with Non-Lipschitzian Adsorption Kinetics1998-09-21Paper
An error estimator for a finite volume discretization of density driven flow in porous media1998-02-09Paper
https://portal.mardi4nfdi.de/entity/Q43437981998-01-07Paper
https://portal.mardi4nfdi.de/entity/Q27048501998-01-01Paper
Finite Element Approximation of the Transport of Reactive Solutes in Porous Media. Part 1: Error Estimates for Nonequilibrium Adsorption Processes1997-09-15Paper
https://portal.mardi4nfdi.de/entity/Q43326421997-08-04Paper
Flow and reactive transport in porous media induced by well injection: Similarity solution1995-01-02Paper
https://portal.mardi4nfdi.de/entity/Q31377001993-11-07Paper
https://portal.mardi4nfdi.de/entity/Q46930521993-06-05Paper
A transport model with micro- and macro-structure1992-12-14Paper
https://portal.mardi4nfdi.de/entity/Q40000671992-09-18Paper
https://portal.mardi4nfdi.de/entity/Q39935611992-09-17Paper
Travelling wave solutions of a system of nonlinear diffusion equations with integral term1992-08-13Paper
https://portal.mardi4nfdi.de/entity/Q32041941991-01-01Paper
https://portal.mardi4nfdi.de/entity/Q34940581990-01-01Paper
The optimal stability estimate for some ill-posed Cauchy problems for a parabolic equation1988-01-01Paper
Stabilization of ill-posed Cauchy problems for parabolic equations1987-01-01Paper
https://portal.mardi4nfdi.de/entity/Q37543661987-01-01Paper
https://portal.mardi4nfdi.de/entity/Q37868581987-01-01Paper
Global existence in a general Stefan-like problem1986-01-01Paper
A Free Boundary Problem Arising from the Leaching of Saine Soils1986-01-01Paper
Control of Stefan problems by means of linear-quadratic defect minimization1985-01-01Paper
https://portal.mardi4nfdi.de/entity/Q37230151985-01-01Paper
Regularization of the cauchy problem for the heat equation by norm bounds1984-01-01Paper
https://portal.mardi4nfdi.de/entity/Q39679081983-01-01Paper
https://portal.mardi4nfdi.de/entity/Q47467551983-01-01Paper
https://portal.mardi4nfdi.de/entity/Q39281891982-01-01Paper
https://portal.mardi4nfdi.de/entity/Q39153911979-01-01Paper

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