2 papers
math.NA2026
Generative diffusion learning for parametric partial differential equations
Ting Wang, Petr Plechac, Jaroslaw Knap
We develop a class of data-driven generative models that approximate the solution operator for parameter-dependent partial differential equations (PDE). We propose a novel probabil…
cond-mat.mtrl-sci2024
A surrogate model for studying random field energy release rates in 2D brittle fractures
Luis Blanco-Cocom, Marcos A. Capistrán, Jaroslaw Knap +1
This article proposes a weighted-variational model as an approximated surrogate model to lessen numerical complexity and lower the execution times of brittle fracture simulations.…