Research
Numerical methods for wave propagation problems, specifically, boundary
conditions for finite difference methods.
The research is funded by
The Swedish Foundation for Strategic Research (SSF)
through the
Center for Industrial and Applied Mathematics (CIAM).
Academics advisors are
Prof. Björn Engquist
and Prof. Olof Runborg.
Publications
»
J. Häggblad,
Modified Stencils for Boundaries and Subgrid Scales in the Finite-Difference Time-Domain Method.
Doctoral Thesis in Applied and Computational Mathematics, 2012. ISBN 978-91-7501-417-3, TRITA-CSC-A 2012:7
»
J. Häggblad and O. Runborg,
Accuracy of staircase approximations in finite-difference methods for wave propagation.
Technical report, TRITA-NA 2012:10
»
B. Engquist, J. Häggblad, O. Runborg, and A.-K. Tornberg,
On consistent boundary conditions for the Yee scheme in 3D.
Technical report, TRITA-NA 2012:11
»
B. Engquist, J. Häggblad and O. Runborg,
Numerical subgrid scale models for the Yee scheme.
Technical report, TRITA-NA 2012:12
»
J. Häggblad and B. Engquist,
Consistent modeling of boundaries in acoustic finite-difference time-domain simulations,
2012 (Submitted for publication). TRITA-NA 2012:1
»
B. Engquist, J. Häggblad and O. Runborg,
On Energy Preserving Consistent Boundary Conditions for the Yee Scheme in 2D.
BIT Numerical Mathematics (accepted for publication), 2012. TRITA-NA 2011:5
»
J. Häggblad,
Boundary and Interface Conditions for Electromagnetic Wave
Propagation using FDTD,
Licentiate Thesis in Numerical Analysis, 2010. ISBN 978-91-7415-771-0, TRITA-CSC-A 2010:4
»
J. Häggblad,
Quantum correlations of broadband light fields,
Masters Thesis,
2007. LTU-EX--07/185--SE
