General remarks

Computer simulations are widely used in the design and development processes of devices, machineries, structures, etc., to predict their performance and physical behaviors. Since more and more complicated computation models and accurate simulations are demanded, development of advanced computation techniques for more complicated physical phenomena and fast computation algorithms for large degrees of freedoms are getting important. Our research themes are concerned with development of advanced numerical methods and their applications to designs of sophisticated devices and structures using the developed numerical methods. The finite element method and boundary element method are mainly faces on as the computational approaches. The boundary element method requires only the boundary meshing. The drawbacks that existed intrinsically in the BEM has been resolved as the consequence of the emergence of fast computation algorithms based on the multipole expansion of the fundamental solution. Therefore, not only the finite element method but also the boundary element method is now one of the strong simulation tools in the computer-aided engineering, particularly in shape and topology optimization problems that require re-meshing through optimization processes.

The followings are some of the topics we are currently coping with.

  • Development of advanced numerical methods in computational mechanics
    • Fast multipole boundary element method for design sensitivity analysis of three-dimensional acoustic field
    • Development of fast and large scale computation algorithms for boundary element method using GPU
    • Thermoelastic damping analysis of micro-scale piezoelectric materials using multiple precision eigenvalue analysis
    • Finite element analysis of photonic random laser
    • Boundary element simulations of extraordinary elastic wave transmissions
    • Eigenfrequency analysis based on boundary element analyses
    • Designs of phononic structures to prevent noise transmissions
  • Development of optimization methods and application to structural design problems
    • Shape and topology optimization of acoustic fields by using fast-multipole boundary element method and level-set method
    • Shape and topology optimization of three-dimensional elastic solids by using BEM and level-set method
    • Topology optimization of three-dimensional elastic solids based on iterative re-meshing by using FEM and level-set method
    • Development of MEMS devices and meta materials using topology optimization techniques
Recent publications in academic journals
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Finite element method
Coming soon.
Boundary element method
Coming soon.
Shape and topology optimization
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Applications
Coming soon.
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