World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
42
Citations
8225
World Ranking
1773
National Ranking
105

Engineering and Technology

D-Index
41
Citations
8080
World Ranking
6865
National Ranking
229

Overview

Fredi Tröltzsch is affiliated with the Technical University of Berlin in Germany, where their research intersects mathematics, computer science, and engineering. Their work primarily focuses on advanced mathematical modeling, numerical analysis, and control theory applied to differential equations and computational mathematics.

Their main fields of study include:

  • Mathematics
  • Computer Science
  • Engineering

Within these fields, they have contributed significantly to several subfields such as:

  • Computational Theory and Mathematics
  • Computational Mechanics
  • Numerical Analysis
  • Control and Systems Engineering
  • Applied Mathematics

The topics covered in their research reflect a broad and technical scope with emphasis on:

  • Advanced Mathematical Modeling in Engineering
  • Advanced Numerical Methods in Computational Mathematics
  • Stability and Controllability of Differential Equations
  • Numerical Methods in Inverse Problems
  • Nonlinear Partial Differential Equations
  • Differential Equations and Numerical Methods
  • Solidification and Crystal Growth Phenomena

Tröltzsch has published extensively in well-regarded venues such as:

  • arXiv (Cornell University)
  • ESAIM Control Optimisation and Calculus of Variations
  • Applied Mathematics & Optimization
  • Mathematical Control and Related Fields
  • SIAM Journal on Scientific Computing

Recent publications by Tröltzsch illustrate their focus on finite element methods, optimal control, and stability issues in partial differential equations. Selected recent papers include:

  • Unstructured Space-Time Finite Element Methods for Optimal Control of Parabolic Equations (2021), SIAM Journal on Scientific Computing
  • Space-Time Finite Element Discretization of Parabolic Optimal Control Problems with Energy Regularization (2021), SIAM Journal on Numerical Analysis
  • Stability for Semilinear Parabolic Optimal Control Problems with Respect to Initial Data (2022), Applied Mathematics & Optimization
  • On Optimal Control Problems with Controls Appearing Nonlinearly in an Elliptic State Equation (2020), SIAM Journal on Control and Optimization
  • Second-order Sufficient Conditions for Sparse Optimal Control of Singular Allen-Cahn Systems with Dynamic Boundary Conditions (2023), Discrete and Continuous Dynamical Systems - S

Tröltzsch collaborates regularly with several other researchers, forming a network of co-authors active in related domains. Frequent co-authors include:

  • Jürgen Sprekels
  • Ulrich Langer
  • Olaf Steinbach
  • Huidong Yang
  • Eduardo Casas

Best Publications

  • Optimal Control of Partial Differential Equations: Theory, Methods and Applications

    Fredi Tröltzsch

  • Optimal Control of Partial Differential Equations

    Karl-Heinz Hoffmann;Günter Leugering;Fredi Tröltzsch;Stiftung Caesar

  • Optimale Steuerung partieller Differentialgleichungen

    Fredi Tröltzsch

  • Error Estimates for the Numerical Approximation of a Semilinear Elliptic Control Problem

    Nadir Arada;Eduardo Casas;Fredi Tröltzsch

  • POD a-posteriori error estimates for linear-quadratic optimal control problems

    F. Tröltzsch;S. Volkwein

  • Optimal Control of PDEs with Regularized Pointwise State Constraints

    Christian Meyer;Arnd Rösch;Fredi Tröltzsch

  • Sufficient Second-Order Optimality Conditions for Semilinear Control Problems with Pointwise State Constraints

    Eduardo Casas;Juan Carlos de los Reyes;Fredi Tröltzsch

  • Error Estimates for the Numerical Approximation of Boundary Semilinear Elliptic Control Problems

    Eduardo Casas;Mariano Mateos;Fredi Tröltzsch

  • Second-Order Necessary and Sufficient Optimality Conditions for Optimization Problems and Applications to Control Theory

    Eduardo Casas;Fredi Tröltzsch

  • Supplementary results on partial differential equations

    Unknown

  • Second Order Sufficient Optimality Conditions for Nonlinear Parabolic Control Problems with State Constraints

    Jean-Pierre Raymond;Fredi Tröltzsch

  • Optimality conditions for parabolic control problems and applications

    Fredi Tröltzsch

  • Second Order Sufficient Optimality Conditions for Some State-constrained Control Problems of Semilinear Elliptic Equations

    Eduardo Casas;Fredi Tröltzsch;Andreas Unger

  • Second Order Analysis for Optimal Control Problems: Improving Results Expected From Abstract Theory

    Eduardo Casas;Fredi Tröltzsch

  • Second-order sufficient optimality conditions for the optimal control of navier-stokes equations

    Fredi Tröltzsch;Daniel Wachsmuth

  • Second Order Sufficient Optimality Conditions for a Nonlinear Elliptic Boundary Control Problem

    E. Casas;Fredi Tröltzsch;A. Unger

  • Second Order Optimality Conditions and Their Role in PDE Control

    Eduardo Casas;Fredi Tröltzsch

  • On two numerical methods for state-constrained elliptic control problems

    Chr. Meyer;U. Prüfert;F. Tröltzsch

  • Sparse Optimal Control of the Schlögl and FitzHugh–Nagumo Systems

    Eduardo Casas;Christopher Ryll;Fredi Tröltzsch

  • On NEMYTSKIJ Operators in Lp‐Spaces of Abstract Functions

    H. Goldberg;W. Kampowsky;F. Tröltzsch

  • Second-Order Necessary Optimality Conditions for Some State-Constrained Control Problems of Semilinear Elliptic Equations

    E. Casas;F. Tröltzsch

Frequent Co-Authors

Eduardo Casas
Eduardo Casas University of Cantabria
Günter Leugering
Günter Leugering University of Erlangen-Nuremberg
Serge Nicaise
Serge Nicaise University Polytechnic Hauts-de-France
Stefan Volkwein
Stefan Volkwein University of Konstanz
Karl Kunisch
Karl Kunisch University of Graz
Irena Lasiecka
Irena Lasiecka University of Memphis
Eckehard Schöll
Eckehard Schöll Technical University of Berlin
Michael Hintermüller
Michael Hintermüller Weierstrass Institute for Applied Analysis and Stochastics
Ulrich Langer
Ulrich Langer Johannes Kepler University of Linz
Enrique Zuazua
Enrique Zuazua University of Erlangen-Nuremberg

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