Kaihang Guo

Kaihang Guo

PhD candidate at Rice University

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I am a fifth year PhD student from the Department of Computational and Applied Mathematics at Rice University under the advisement of Prof. Jesse Chan. My research focuses on high order discontinuous Galerkin (DG) method for time-dependent wave equations. I am particularly interested in developing provably stable and high order accurate DG methods for wave propagation through arbitrarily heterogeneous media and moving domains. I also design efficient and highly parallelizable algorithms to implement explicit time-stepping DG schemes on Graphics Processing Units (GPUs).

Recent news:

  • March 2021: Kaihang Guo gave a talk at the Rice Oil and Gas HPC conference.
  • March 2021: Kaihang Guo gave a talk at SIAM CSE 21.
  • September 2020: our preprint “High order WADG methods for wave propagation on moving curved meshes” is available as an arXiv preprint, and introduces a stable high order DG methods for wave propagation on moving curved meshes with general choices of basis and quadrature.
  • September 2020: Kaihang Guo has successfully passed his PhD proposal.
  • June 2020: our paper “A weight-adjusted discontinuous Galerkin method for wave propagation in coupled elastic-acoustic media” with Prof. Jesse Chan and Prof. Sebastian Acosta was accepted to JCP and is now online.
  • November 2019: Kaihang Guo presented work on wave propagation in acoustic-elastic media at the SIAM LA-TX sectional meeting in Dallas, TX.
  • September 2019: our paper “Bernstein-Bezier weight-adjusted discontinuous Galerkin methods for wave propagation in heterogeneous media” with Prof. Jesse Chan was accepted to JCP and is now online.
  • July 2019: Kaihang Guo gave a talk at USNCCM 2019 in Austin, TX.
  • June 2019: Kaihang Guo presented work on Bernstein-Bezier weight-adjusted discontinuous Galerkin methods at the North American High Order Methods Conference (NAHOMCon) in San Diego, CA.
  • March 2019: Kaihang Guo gave a talk at the Finite Element Rodeo in Austin, TX.
  • May 2019: our preprint “A weight-adjusted discontinuous Galerkin method for wave propagation in coupled elastic-acoustic media” is available as an arXiv preprint, and introduces a new provably stable high order DG methods for wave propagation in coupled acoustic-elastic media. As with previous weight-adjusted DG papers, the method is time-explicit, high order accurate, and applicable to sub-cell micro heterogeneities, anisotropic media, and curved meshes.
  • August 2018: Kaihang Guo successfully defended his MA thesis on low-complexity GPU-accelerated DG methods for wave propagation in media with sub-cell heterogeneities. This work is available online in an arXiv preprint.
  • Jan 2018: Kaihang Guo received the K2i fellowship from the Ken Kennedy Institute.