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
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 presents 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