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D-Index & Metrics

Mathematics

D-Index
54
Citations
9771
World Ranking
849
National Ranking
41

Engineering and Technology

D-Index
53
Citations
9630
World Ranking
3448
National Ranking
108

Overview

Harald Garcke is affiliated with the University of Regensburg in Germany. Their research primarily spans the fields of Engineering and Computer Science, with notable contributions to subfields such as Computational Mechanics, Computational Theory and Mathematics, Materials Chemistry, Applied Mathematics, and Civil and Structural Engineering.

The scientist's work focuses on advanced mathematical modeling and numerical methods within engineering and applied mathematics. Key topics in their research include:

  • Advanced Mathematical Modeling in Engineering
  • Solidification and crystal growth phenomena
  • Advanced Numerical Methods in Computational Mathematics
  • Fluid Dynamics and Thin Films
  • Lattice Boltzmann Simulation Studies
  • Nonlinear Partial Differential Equations
  • Topology Optimization in Engineering

Harald Garcke's recent publication record includes works centered on phase field models and tumor growth, among other topics:

  • On a phase field model of Cahn-Hilliard type for tumour growth with mechanical effects, 2020, Nonlinear Analysis Real World Applications
  • Viscoelastic Cahn-Hilliard models for tumor growth, 2022, Mathematical Models and Methods in Applied Sciences
  • Sparse Optimal Control of a Phase Field Tumor Model with Mechanical Effects, 2021, SIAM Journal on Control and Optimization
  • Cahn-Hilliard-Brinkman systems for tumour growth, 2021, Discrete and Continuous Dynamical Systems - S
  • Volume-preserving parametric finite element methods for axisymmetric geometric evolution equations, 2022, Journal of Computational Physics

Frequent publication venues for their work include:

  • arXiv (Cornell University)
  • University of Regensburg Publication Server (University of Regensburg)
  • Journal of Computational Physics
  • Discrete and Continuous Dynamical Systems - S
  • Numerische Mathematik

Harald Garcke has also contributed to book publications, such as the title Interfaces: Modeling, Analysis, Numerics published by Oberwolfach Seminars in 2023.

Collaborations form a significant part of their research output. Frequent co-authors include:

  • Robert Nürnberg
  • Helmut Abels
  • Andrea Signori
  • Quan Zhao
  • Patrik Knopf

Best Publications

  • On the Cahn-Hilliard equation with degenerate mobility

    Charles M. Elliott;Harald Garcke

  • Thermodynamically consistent, frame indifferent diffuse interface models for incompressible two-phase flows with different densities

    Helmut Abels;Harald Garcke;Günther Grün

  • Multicomponent alloy solidification: phase-field modeling and simulations.

    Britta Nestler;Harald Garcke;Björn Stinner

  • Finite Element Approximation of the Cahn--Hilliard Equation with Degenerate Mobility

    John W. Barrett;James F. Blowey;Harald Garcke

  • A multiphase field concept: numerical simulations of moving phase boundaries and multiple junctions

    Harald Garcke;Britta Nestler;Barbara Stoth

  • On a fourth-order degenerate parabolic equation: global entropy estimates, existence, and qualitative behavior of solutions

    Roberta Dal Passo;Harald Garcke;Günther Grün

  • A Cahn–Hilliard–Darcy model for tumour growth with chemotaxis and active transport

    Harald Garcke;Kei Fong Lam;Emanuel Sitka;Vanessa Styles

  • A parametric finite element method for fourth order geometric evolution equations

    John W. Barrett;Harald Garcke;Robert Nürnberg

  • On anisotropic order parameter models for multi-phase system and their sharp interface limits

    Harald Garcke;Britta Nestler;Barbara Stoth

  • A Diffuse Interface Model for Alloys with Multiple Components and Phases

    Bjorn Stinner;Britta Nestler;Harald Garcke

  • On the parametric finite element approximation of evolving hypersurfaces in R 3

    John W. Barrett;Harald Garcke;Robert Nürnberg

  • Parametric Approximation of Willmore Flow and Related Geometric Evolution Equations

    John W. Barrett;Harald Garcke;Robert Nürnberg

  • Existence of Weak Solutions for a Diffuse Interface Model for Two-Phase Flows of Incompressible Fluids with Different Densities

    Helmut Abels;Daniel Depner;Harald Garcke

  • On an incompressible Navier-Stokes/Cahn-Hilliard system with degenerate mobility

    Helmut Abels;Daniel Depner;Harald Garcke

  • The thin viscous flow equation in higher space dimensions

    Michiel Bertsch;Roberta Dal Passo;Harald Garcke;Günther Grün

  • Well-posedness of a Cahn–Hilliard system modelling tumour growth with chemotaxis and active transport

    Harald Garcke;Kei Fong Lam

  • A coupled surface-Cahn--Hilliard bulk-diffusion system modeling lipid raft formation in cell membranes

    Harald Garcke;Johannes Kampmann;Andreas Rätz;Matthias Röger

  • A multiphase Cahn--Hilliard--Darcy model for tumour growth with necrosis

    Harald Garcke;Kei Fong Lam;Robert Nürnberg;Emanuel Sitka

  • On fully practical finite element approximations of degenerate Cahn-Hilliard systems

    John W. Barrett;James F. Blowey;Harald Garcke

  • Numerical computations of faceted pattern formation in snow crystal growth.

    John W. Barrett;Harald Garcke;Robert Nürnberg

  • Global weak solutions and asymptotic limits of a Cahn--Hilliard--Darcy system modelling tumour growth

    Harald Garcke;Kei Fong Lam

  • Diffusional phase transitions in multicomponent systems with a concentration dependent mobility matrix

    Charles M. Elliott;Harald Garcke

  • On Cahn—Hilliard systems with elasticity

    Harald Garcke

Frequent Co-Authors

John W. Barrett
John W. Barrett University of Nottingham
Britta Nestler
Britta Nestler Karlsruhe Institute of Technology
Michael Hinze
Michael Hinze University of Koblenz and Landau
Peter Knabner
Peter Knabner University of Erlangen-Nuremberg
Martin Rumpf
Martin Rumpf University of Bonn
Alexandru Telea
Alexandru Telea Utrecht University
Charles M. Elliott
Charles M. Elliott University of Warwick
Elisabetta Rocca
Elisabetta Rocca University of Pavia
Jarke J. van Wijk
Jarke J. van Wijk Eindhoven University of Technology
Axel Voigt
Axel Voigt TU Dresden

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