Papers matching “parametric partial differential equations” 18
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Integration of physics-informed operator learning and finite element method for parametric learning of partial differential equations2024 arXiv (Cornell University) preprint Physics and Astronomy Model Reduction and Neural Networks Open access
Shahed Rezaei, Ahmad Moeineddin, Michael Kaliske, Markus Apel
0citations -
A physics-informed meta-learning framework for the continuous solution of parametric PDEs on arbitrary geometries2026 Computers & Structures article Physics and Astronomy Model Reduction and Neural Networks Open access
Reza Najian Asl, Yusuke Yamazaki, Kianoosh Taghikhani, Mayu Muramatsu, Markus Apel, Shahed Rezaei
4citations -
A Physics-Informed Meta-Learning Framework for the Continuous Solution of Parametric PDEs on Arbitrary Geometries2025 arXiv (Cornell University) preprint Physics and Astronomy Model Reduction and Neural Networks Open access
Reza Najian Asl, Yusuke Yamazaki, Kianoosh Taghikhani, Mayu Muramatsu, Markus Apel, Shahed Rezaei
1citations -
Finite Operator Learning: Bridging neural operators and numerical methods for efficient parametric solution and optimization of PDEs2025 Finite Elements in Analysis and Design article Physics and Astronomy Model Reduction and Neural Networks Open access
Shahed Rezaei, Reza Najian Asl, Kianoosh Taghikhani, Ahmad Moeineddin, Michael Kaliske, Markus Apel
12citations -
A Convergent Adaptive Finite Element Stochastic Galerkin Method Based on Multilevel Expansions of Random Fields2025 SIAM Journal on Numerical Analysis article Decision Sciences Probabilistic and Robust Engineering Design Open access
Markus Bachmayr, Martin Eigel, Henrik Eisenmann, Igor Voulis
1citations
18 results