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Mathematics

D-Index
35
Citations
8358
World Ranking
2721
National Ranking
165

Overview

Jan Sokolowski is affiliated with the University of Lorraine in France, focusing on research at the intersection of engineering and computer science. Their work covers several fields and subfields, including civil and structural engineering, mechanics of materials, computational theory and mathematics, control and systems engineering, and mathematical physics.

The main areas of investigation for Sokolowski revolve around topics such as topology optimization in engineering, advanced mathematical modeling in engineering, composite material mechanics, numerical methods in inverse problems, composite structure analysis and optimization, medical image segmentation techniques, and stability and controllability of differential equations.

The scholar has published frequently in several academic venues. These include:

  • Journal of Geometric Analysis
  • Control and Cybernetics
  • Applied Mathematics & Optimization
  • Journal of Elasticity
  • European Journal of Mechanics - A/Solids

Recent papers authored by or associated with the researcher include:

  • "Geometric Aspects of Shape Optimization," 2023, Journal of Geometric Analysis
  • "Pollution Sources Reconstruction Based on the Topological Derivative Method," 2020, Applied Mathematics & Optimization
  • "Sensitivity of the Second Order Homogenized Elasticity Tensor to Topological Microstructural Changes," 2021, Journal of Elasticity
  • "Emergence of elastostatic strain-gradient effects from topological optimization," 2023, European Journal of Mechanics - A/Solids
  • "Network Design and Control: Shape and Topology Optimization for the Turnpike Property for the Wave Equation," 2024, Journal of Geometric Analysis

Collaborations form an integral part of Sokolowski's research activity. Frequent co-authors include Antônio André Novotny, П. И. Плотников, Martin Gugat, Lucas dos Santos Fernandez, and Valentin Calisti.

In addition to journal publications, the researcher has contributed to book literature, with a publication titled An Introduction to the Topological Derivative Method released through Springer International Publishing in 2020.

Best Publications

  • Introduction to Shape Optimization: Shape Sensitivity Analysis

    Jan Sokolowski;Jean-Paul Zolesio

  • Introduction to shape optimization

    Jan Sokolowski;Jean-Paul Zolesio

  • On the Topological Derivative in Shape Optimization

    J. Sokolowski;A. Zochowski

  • Topological Derivatives in Shape Optimization

    Antonio André Novotny;Jan Sokołowski

  • Asymptotic analysis of shape functionals

    Serguei A. Nazarov;Jan Sokołowski

  • Modelling and control in solid mechanics

    A. M Khludnev;Jan Sokołowski

  • TOPOLOGICAL DERIVATIVES OF SHAPE FUNCTIONALS FOR ELASTICITY SYSTEMS

    Jan Sokołowski;Antoni Żochowski

  • Optimality Conditions for Simultaneous Topology and Shape Optimization

    J. SokoLowski

  • Energy change due to the appearance of cavities in elastic solids

    Tomasz Lewiński;Jan Sokołowski

  • Modelling of topological derivatives for contact problems

    J. Sokołowski;A. Żochowski

  • Compressible Navier-Stokes Equations: Theory and Shape Optimization

    Pavel Igorevich Plotnikov;Jan Sokolowski

  • The Griffith formula and the Rice–Cherepanov integral for crack problems with unilateral conditions in nonsmooth domains

    A. M. Khludnev;J. Sokolowski

  • On derivative of energy functional for elastic bodies with cracks and unilateral conditions

    A. M. Khludnev;K. Ohtsuka;J. Sokolowski

  • Griffith formulae for elasticity systems with unilateral conditions in domains with cracks

    A.M. Khludnev;J. Sokolowski

  • A Level Set Method in Shape and Topology Optimization for Variational Inequalities

    Piotr FulmańSki;Antoine Laurain;Jean-Francois Scheid;Jan SokołOwski

  • Sensitivity analysis of control constrained optimal control problems for distributed parameter systems

    Jan Sokolowski

  • Shape and topology sensitivity analysis for cracks in elastic bodies on boundaries of rigid inclusions

    A.M. Khludnev;A.A. Novotny;J. Sokołowski;A. Żochowski

  • Concentrations of solutions to time-discretizied compressible Navier-Stokes equations

    Pavel Igorevich Plotnikov;Jan Sokolowski

  • On Compactness, Domain Dependence and Existence of Steady State Solutions to Compressible Isothermal Navier–Stokes Equations

    P. I. Plotnikov;J. Sokolowski

  • Stationary solutions of Navier-Stokes equations for diatomic gases

    Pavel I. Plotnikov;Jan Sokolowski

  • Compressible Navier-Stokes equations

    Pavel I. Plotnikov;Jan Sokolowski

  • Topological Derivative in Shape Optimization.

    Jan Sokolowski;Antoni Zochowski

Frequent Co-Authors

Günter Leugering
Günter Leugering University of Erlangen-Nuremberg
Pekka Neittaanmäki
Pekka Neittaanmäki University of Jyväskylä
Irena Lasiecka
Irena Lasiecka University of Memphis
Martin P. Bendsøe
Martin P. Bendsøe Technical University of Denmark
Eduardo Casas
Eduardo Casas University of Cantabria
Monique Dauge
Monique Dauge University of Rennes
Martin Costabel
Martin Costabel University of Rennes
Christian Meyer
Christian Meyer Greifswald University Hospital
Michael Hintermüller
Michael Hintermüller Weierstrass Institute for Applied Analysis and Stochastics
Emílio Carlos Nelli Silva
Emílio Carlos Nelli Silva Universidade de São Paulo

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