Numerics & PDEs

Numerical Methods for PDEs

Our work was the subject of these publications:

  1. A weight-adjusted discontinuous Galerkin method for wave propagation in coupled elastic-acoustic media. J Comput Phys 418:109632, 2020.
  2. Local on-surface radiation condition for multiple scattering of waves from convex obstacles. arXiv 2019.
  3. High order methods for acoustic scattering: Coupling farfield expansions with deferred corrections. Wave Motion 95: 102529, 2020.
  4. High order surface radiation conditions for time-harmonic waves in exterior domains. Comput Meth Appl Mech Engrg, 322: 296-310, 2017.
  5. High order local absorbing boundary conditions for acoustic waves in terms of farfield expansions. J Comp Phys, 333:331-351, 2017.
  6. On-surface radiation condition for multiple scattering of waves. Comput Meth Appl Mech Engrg, 283:1296-1309, 2015.
  7. The DtN nonreflecting boundary condition for multiple scattering problems in the half-plane. Comput Meth Appl Mech Engrg, 217-220:1-11, 2012.
  8. Quantum fluctuations in the dressed vacuum of a bosonic model system. J. Phys. A: Math. Theor. 45:275303, 2012.
  9. Coupling of Dirichlet-to-Neumann boundary condition and finite difference methods in curvilinear coordinates for multiple scattering. J Comput Phys, 229:5498-5517, 2010.
  10. Finite differences on grids with nearly uniform cell area and line spacing for the wave equation on complex domains. J Comp Appl Math, 234:1970-1979, 2010.
  11. Generation of smooth grids with line control for scattering from multiple obstacles. Math Comput Simul 79:2506-2520, 2009.
  12. Elliptic grids with nearly uniform cell area and line spacing. Elect Trans Num Anal ETNA 34:59-75, 2009.
  13. Numerical wave scattering taking account of energy dissipation and media stiffness. SIAM Undergraduate Research Online. 1:100-119, 2008.