Workshop: Meshfree Methods for Partial Differential Equations

Date: September 18-20, 2017

Venue: Universitätsclub, Konviktstraße 9 (Bonn)

Homepage and registration: http://schweitzer.ins.uni-bonn.de/meshfree/

Deadlines and important dates:

April 24, 2017

Accepting online registration and abstract submissions

July 10, 2017

Abstract submission deadline

July 22, 2017

Notification of acceptance

July 31, 2017

Early registration deadline

Organizers: Ivo Babuška (University of Texas at Austin, USA), Jiun-Shyan Chen (University of California, San Diego, USA), Wing Kam Liu (Northwestern University, USA), Cheng-Tang Wu (Livermore Software Technology Corporations, USA), Harry Yserentant (Technische Universität Berlin, Germany), Michael Griebel (Rheinische Friedrich-Wilhelms-Universität Bonn, Germany), Marc Alexander Schweitzer (Rheinische Friedrich-Wilhelms-Universität Bonn, Germany)

Brief Description:

The numerical treatment of partial differential equations with meshfree discretization techniques has been a very active research area in recent years. While the fundamental theory of meshfree methods has been developed and considerable advances of the various methods have been made, many challenges in the mathematical analysis and practical implementation of meshfree methods remain.

Meshfree methods, particle methods, and generalized finite element methods have undergone substantial development since the mid 1990s. The growing interest in these methods is in part due to the fact that they are very flexible numerical tools and can be interpreted in a number of ways. For instance, meshfree methods can be viewed as a natural extension of classical finite element and finite difference methods to scattered node configurations with no fixed connectivity. Furthermore, meshfree methods have some advantageous features which are especially attractive when dealing with multiscale phenomena: A-priori knowledge about particular local behavior of the solution can be introduced easily in the meshfree approximation space, and an enrichment of a coarse scale approximation with fine scale information is possible in a seamless fashion. The implementation of meshfree methods and their parallelization however requires special attention, for instance with respect to numerical integration.

This symposium aims to promote collaboration among engineers, mathematicians, and computer scientists and industrial researchers to address the development, mathematical analysis, and application of meshfree and particle methods especially to multiscale phenomena. It continues the 2-year-cycled Workshops on Meshfree Methods for Partial Differential Equations. This particular instance is dedicated to the memory and contributions of Ted Belyschko. While contributions in all aspects of meshfree methods are invited, some of the key topics to be featured are

  • Application of meshfree, generalized/extended finite element methods e.g. to
    • multiscale problems
    • multiphysics problems
    • non-local models
    • problems with multiple discontinuities and singularities
    • problems in high-dimensions
  • Coupling of meshfree methods, finite element methods, particle methods, and finite difference methods
  • Patch methods
  • Fictitiuous domain methods
  • Strong discontinuity approaches
  • Local/Global Non-Intrusive Coupling
  • Parallel computation in meshfree methods
  • Fast and stable domain integration methods
  • Enhanced treatment of boundary conditions
  • Mathematical theory of meshfree, generalized finite element, and particle methods
  • Identification and characterization of problems where meshfree methods have clear advantage over classical approaches

The three day workshop program will consist of invited lectures and contributed papers.

The workshop will be held at the University Club of the University of Bonn in downtown Bonn.

The conference fees are:

Participant

: 200,- €

Student

: 100,- €

Late Registration

: 300,- €

The conference fee includes the handbook of printed abstracts, admission to all sessions and receptions. There will a banquet as part of the social program of the workshop.