Presentation

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Walk on Decomposed Subdomains: A Hybrid Monte Carlo–Deterministic Solver for Elliptic PDEs
SessionWalk This Way: Monte Carlo Geometry
DescriptionWe introduce a hybrid Monte Carlo-deterministic solver for elliptic PDEs on complex geometries. Our method decomposes the domain into simple subdomains, estimates local solution operators with Monte Carlo and couples them via a sparse linear system, delivering low-variance solutions orders of magnitude faster than pure Monte Carlo, without volumetric meshing.
Authors
Clément Jambon
Massachusetts Institute of Technology (MIT)
Mohammad Sina Nabizadeh
Massachusetts Institute of Technology (MIT)
Mina Konaković Luković
Massachusetts Institute of Technology (MIT)
Event Type
Technical Paper
TimeWednesday, 22 July 20264:15pm - 4:25pm PDT
LocationRoom 408 A
Digital Library PDF
Session Time & Location
Sunday, 19 July 20266:00pm - 8:45pm PDTHall K
Wednesday, 22 July 20263:45pm - 5:35pm PDTRoom 408 A
Keywords
Geometry
Registration Categories
Full Conference Supporter
Full Conference
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