Patents by Inventor George E. Karniadakis

George E. Karniadakis has filed for patents to protect the following inventions. This listing includes patent applications that are pending as well as patents that have already been granted by the United States Patent and Trademark Office (USPTO).

  • Publication number: 20230316074
    Abstract: A data assimilation method includes providing a neural network that encodes input functions and space-time variables as inputs, pretraining the neural network, and using the pre-trained neural network to form constraints to approximate multiphysics solutions.
    Type: Application
    Filed: March 16, 2023
    Publication date: October 5, 2023
    Inventor: George E. KARNIADAKIS
  • Patent number: 10963540
    Abstract: A method for analyzing an object includes modeling the object with a differential equation, such as a linear partial differential equation (PDE), and sampling data associated with the differential equation. The method uses a probability distribution device to obtain the solution to the differential equation. The method eliminates use of discretization of the differential equation.
    Type: Grant
    Filed: June 2, 2017
    Date of Patent: March 30, 2021
    Assignee: Brown University
    Inventors: Maziar Raissi, Paris Perdikaris, George E. Karniadakis
  • Publication number: 20200293594
    Abstract: A method for analyzing an object includes modeling the object with a differential equation, such as a linear partial differential equation (PDE), and sampling data associated with the differential equation. The method uses a probability distribution device to obtain the solution to the differential equation. The method eliminates use of discretization of the differential equation.
    Type: Application
    Filed: June 2, 2017
    Publication date: September 17, 2020
    Inventors: Maziar RAISSI, Paris PERDIKARIS, George E. KARNIADAKIS
  • Publication number: 20110289043
    Abstract: The invention in some aspects relates to methods, devices and compositions for evaluating material properties, such as mechanical and rheological properties of substances, particularly biological substances, such as cells, tissues, and biological fluids. In some aspects, the invention relates to methods, devices and compositions for evaluating material properties of deformable objects, such as cells. In further aspects, the invention relates to methods, devices and compositions for diagnosing and/or characterizing disease based on material properties of biological cells.
    Type: Application
    Filed: March 21, 2011
    Publication date: November 24, 2011
    Applicants: Brown University Research Foundation, Massachusetts Institute of Technology
    Inventors: Subra Suresh, George E. Karniadakis, Bruce Caswell, Igor V. Pivkin, Dmitry Fedosov, David J. Quinn, Ming Dao