A fast semi-analytical isogeometric framework for thermal problems with moving heat sources
Date:日期：
Conference talk会议报告 at ，14th International Conference on Isogeometric Analysis (IGA 2026), Tokyo, Japan
Slides, Photo 1, Photo 2, Photo 3, Photo 4
Joint work with Yang Yang, Matthias Möller and Can Ayas, presented in minisymposium MS 04 “Fast formation and solution techniques” (Monday, October 12, 2026, Waseda University).
Thermal simulation of moving-heat-source processes such as laser powder bed fusion (LPBF) is challenging because the laser induces steep, fast-moving temperature gradients that conventional finite element methods can only resolve with heavy, dynamically adaptive refinement. In this talk, I present a semi-analytical isogeometric framework in which the laser heat input is captured by an analytical point-source solution, while a complementary correction field that imposes the boundary conditions is solved with a spline-based isogeometric discretization on the exact CAD geometry. The method is described in our paper Efficient thermal simulation in metal additive manufacturing via semi-analytical isogeometric analysis (CMAME, 2026).
Our group also presented three further talks at IGA 2026:
- “Fast r-refinement in isogeometric analysis using low-rank approximations” — Angelos Mantzaflaris, Matthias Möller, and Ye Ji (MS 04, October 12).
- “Parameterization-driven isogeometric ALE for fluid–structure interaction under large deformations” — Jingya Li, Ye Ji, Hugo Verhelst, and Matthias Möller (MS 03, October 13).
- “A body-fitted isogeometric lattice Boltzmann method for complex geometries” — Monica Lacatus, Ye Ji, and Matthias Möller (MS 03, October 13).
Keywords: Isogeometric Analysis, Semi-Analytical Method, Moving Heat Source, Laser Powder Bed Fusion, Thermal Simulation