| Publication | Date of Publication | Type |
|---|
| Reduced Lagrange multiplier approach for non-matching coupling of mixed-dimensional domains | 2023-12-15 | Paper |
| Deep learning based reduced order modeling of Darcy flow systems with local mass conservation | 2023-11-24 | Paper |
| Mesh-informed neural networks for operator learning in finite element spaces | 2023-10-17 | Paper |
| Uncertainty quantification for nonlinear solid mechanics using reduced order models with Gaussian process regression | 2023-10-13 | Paper |
| Nonlinear model order reduction for problems with microstructure using mesh informed neural networks | 2023-09-14 | Paper |
| Robust Preconditioning of mixed-dimensional PDEs on 3d-1d domains coupled with Lagrange multipliers | 2023-07-17 | Paper |
| A deep learning approach to Reduced Order Modelling of parameter dependent partial differential equations | 2022-12-21 | Paper |
| A coupled 3D-1D multiscale Keller-Segel model of chemotaxis and its application to cancer invasion | 2022-10-25 | Paper |
| A Multiscale Poromechanics Model Integrating Myocardial Perfusion and the Epicardial Coronary Vessels | 2022-08-03 | Paper |
| Approximation bounds for convolutional neural networks in operator learning | 2022-07-04 | Paper |
| A computational model applied to myocardial perfusion in the human heart: from large coronaries to microvasculature | 2022-04-14 | Paper |
| Iterative splitting schemes for a soft material poromechanics model | 2021-12-13 | Paper |
| A Mixed Dimensional Model for the Interaction of a Well with a Poroelastic Material | 2021-09-27 | Paper |
| A Posteriori Model Error Analysis of 3D-1D Coupled PDEs | 2021-09-27 | Paper |
| Modeling the cardiac response to hemodynamic changes associated with COVID-19: a computational study | 2021-09-13 | Paper |
| Mathematical modeling and numerical simulation of atherosclerotic plaque progression based on fluid-structure interaction | 2021-08-31 | Paper |
| Mathematical analysis and numerical approximation of a general linearized poro-hyperelastic model | 2021-05-27 | Paper |
| Analysis and Approximation of Mixed-Dimensional PDEs on 3D-1D Domains Coupled with Lagrange Multipliers | 2021-03-19 | Paper |
| Iterative splitting schemes for a soft material poromechanics model | 2020-11-26 | Paper |
| Numerical solvers for a poromechanic problem with a moving boundary | 2020-03-10 | Paper |
| Derivation and analysis of coupled PDEs on manifolds with high dimensionality gap arising from topological model reduction | 2020-02-14 | Paper |
| Mathematical analysis, finite element approximation and numerical solvers for the interaction of 3D reservoirs with 1D wells | 2019-08-23 | Paper |
| Partitioning strategies for the interaction of a fluid with a poroelastic material based on a Nitsche's coupling approach | 2019-03-29 | Paper |
| A Lagrange multiplier method for a Stokes-Biot fluid-poroelastic structure interaction model | 2018-10-31 | Paper |
| Mathematical modeling, analysis and numerical approximation of second-order elliptic problems with inclusions | 2018-06-21 | Paper |
| Unfitted FEM for modelling the interaction of multiple fractures in a poroelastic medium | 2018-06-05 | Paper |
| Dimensional model reduction for flow through fractures in poroelastic media | 2017-10-13 | Paper |
| A mixed finite element method for modeling the fluid exchange between microcirculation and tissue interstitium | 2017-10-05 | Paper |
| Computational analysis of energy distribution of coupled blood flow and arterial deformation | 2016-11-10 | Paper |
| Inertial motions of a rigid body with a cavity filled with a viscous liquid | 2016-05-31 | Paper |
| An operator splitting approach for the interaction between a fluid and a multilayered poroelastic structure | 2015-10-23 | Paper |
| Hyperbolic–Parabolic Coupling and the Occurrence of Resonance in Partially Dissipative Systems | 2015-09-16 | Paper |
| Simulation of Flow in Fractured Poroelastic Media: A Comparison of Different Discretization Approaches | 2015-08-20 | Paper |
| Numerical Investigation of Convergence Rates for the FEM Approximation of 3D-1D Coupled Problems | 2015-07-28 | Paper |
| Stabilized extended finite elements for the approximation of saddle point problems with unfitted interfaces | 2015-07-22 | Paper |
| Computational models for fluid exchange between microcirculation and tissue interstitium | 2014-12-08 | Paper |
| Analysis of backward Euler/extended finite element discretization of parabolic problems with moving interfaces | 2014-05-13 | Paper |
| Explicit partitioning strategies for the interaction between a fluid and a multilayered poroelastic structure: an operator-splitting approach | 2013-08-20 | Paper |
| An Immersed Boundary Method for Drug Release Applied to Drug Eluting Stents Dedicated to Arterial Bifurcations | 2013-07-10 | Paper |
| Robust numerical approximation of coupled Stokes' and Darcy's flows applied to vascular hemodynamics and biochemical transport | 2013-07-04 | Paper |
| A Primer on PDEs | 2012-12-04 | Paper |
| Numerical Approximation of Large Contrast Problems with the Unfitted Nitsche Method | 2012-08-23 | Paper |
| Analysis of an evolution problem for controlled drug release | 2012-07-11 | Paper |
| Numerical approximation with Nitsche's coupling of transient Stokes/Darcy's flow problems applied to hemodynamics | 2012-05-04 | Paper |
| Model Reduction Strategies Enable Computational Analysis of Controlled Drug Release from Cardiovascular Stents | 2012-03-16 | Paper |
| Numerical approximation of incompressible flows with net flux defective boundary conditions by means of penalty techniques | 2012-01-11 | Paper |
| Controlled Release with Finite Dissolution Rate | 2011-10-18 | Paper |
| An unfitted interface penalty method for the numerical approximation of contrast problems | 2011-10-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2998292 | 2011-05-18 | Paper |
| Discontinuous Galerkin methods based on weighted interior penalties for second order PDEs with non-smooth coefficients | 2011-01-16 | Paper |
| MODELING POLYMERIC CONTROLLED DRUG RELEASE AND TRANSPORT PHENOMENA IN THE ARTERIAL TISSUE | 2010-12-15 | Paper |
| A Finite Element Method Based on Weighted Interior Penalties for Heterogeneous Incompressible Flows | 2010-11-11 | Paper |
| Energy Norm A-Posteriori Error Estimates for a Discontinuous Galerkin Scheme Applied to Elliptic Problems with an Interface | 2009-12-18 | Paper |
| Multiscale Boundary Conditions for Drug Release from Cardiovascular Stents | 2009-10-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3627262 | 2009-05-15 | Paper |
| A discontinuous Galerkin method with weighted averages for advection-diffusion equations with locally small and anisotropic diffusivity | 2009-04-29 | Paper |
| A Numerical Study of the Interaction of Blood Flow and Drug Release from Cardiovascular Stents | 2009-01-12 | Paper |
| An Adaptive Discontinuous Galerkin Scheme for Second Order Problems with an Interface | 2009-01-12 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3500072 | 2008-06-03 | Paper |
| A Domain Decomposition Method Based on Weighted Interior Penalties for Advection‐Diffusion‐Reaction Problems | 2007-09-06 | Paper |
| ANALYSIS OF PARABOLIC PROBLEMS ON PARTITIONED DOMAINS WITH NONLINEAR CONDITIONS AT THE INTERFACE: APPLICATION TO MASS TRANSFER THROUGH SEMI-PERMEABLE MEMBRANES | 2006-08-21 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4459765 | 2004-05-18 | Paper |
| An anisotropic a posteriori error estimate for a convection-diffusion problem | 2003-04-27 | Paper |
| Mathematical and Numerical Modeling of Solute Dynamics in Blood Flow and Arterial Walls | 2002-07-08 | Paper |
| A Domain Decomposition Method for Advection-Diffusion Processes with Application to Blood Solutes | 2002-04-15 | Paper |
