Search Results

• Boundary Control Problems in Convective Heat Transfer with Lifting Function Approach and Multigrid Vanka-Type Solvers

  Eugenio Aulisa, Giorgio Bornia & Sandro Manservisi

  2018-04-03

  39675 3120 Pages:621-649

• A Fast Solver for an $\mathcal{H}_1$ Regularized PDE-Constrained Optimization Problem

  Andrew T. Barker, Tyrone Rees & Martin Stoll

  2018-04-03

  40024 4531 Pages:143-167

• On the Convergence of Physics Informed Neural Networks for Linear Second-Order Elliptic and Parabolic Type PDEs

  Yeonjong Shin, Jérôme Darbon, George Em Karniadakis

  2020-11-18

  89003 4556 Pages:2042-2074

• A Second Order Numerical Scheme of the Cahn-Hilliard-Navier-Stokes System with Flory-Huggins Potential

  Wenbin Chen, Jianyu Jing, Qianqian Liu, Cheng Wang, Xiaoming Wang

  2024-04-10

  24996 2136 Pages:633-661

• Towards the Efficient Calculation of Quantity of Interest from Steady Euler Equations I: A Dual-Consistent DWR-Based $h$-Adaptive Newton-GMG Solver

  Jingfeng Wang, Guanghui Hu

  2024-04-10

  24603 2221 Pages:579-608 Open-access

• A Splitting Method for Nonlinear Filtering Problems with Diffusive and Point Process Observations

  Fengshan Zhang, Yongkui Zou, Shimin Chai, Yanzhao Cao

  2024-10-29

  17875 1149 Pages:996-1020

• Learning Invariant Representation of Multiscale Hyperelastic Constitutive Law from Sparse Experimental Data

  Rui He, Junzhi Cui, Zihao Yang, Jieqiong Zhang, Xiaofei Guan

  2023-09-04

  34150 2794 Pages:392-417

• Investigating and Mitigating Failure Modes in Physics-Informed Neural Networks (PINNs)

  Shamsulhaq Basir

  2023-06-06

  41665 2977 Pages:1240-1269

• Vortex Spline Method for Two-Dimensional Rayleigh-Taylor Interfaces Between Inviscid and Perfect Dielectric Fluids with External Electric Fields

  Wenxuan Guo, Qiang Zhang

  2026-01-15

  2936 156 Pages:78-118

• Total Variation Distance-Enhanced Selective Segmentation for Medical Images

  Po-Wen Hsieh, Chung-Lin Tseng, Suh-Yuh Yang

  2026-01-15

  2972 211 Pages:215-239

• Neural-Network-Augmented Empirical Interpolation Method for Field Reconstruction with Noise and Vibration Tolerance

  Han Li, Helin Gong, Chuanju Xu

  2026-01-03

  1680 44 Pages:855-883

• Learning PDEs from Data on Closed Surfaces with Sparse Optimization

  Zhengjie Sun, Leevan Ling, Ran Zhang

  2025-09-02

  11900 956 Pages:289-314