A new adaptive local mesh refinement algorithm and its application on fourth order thin film flow problem. - Pengtao Sun; Robert D. Russell; Jinchao Xu (J. Comput. Phys., 2007)

Optimal anisotropic meshes for minimizing interpolation errors in Lp-norm. - Long Chen 002; Pengtao Sun; Jinchao Xu (Math. Comput., 2007)

A domain decomposition method for two-phase transport model in the cathode of a polymer electrolyte fuel cell. - Pengtao Sun; Guangri Xue; Chaoyang Wang; Jinchao Xu (J. Comput. Phys., 2009)

New Numerical Techniques for a Three-Dimensional Liquid-Feed Direct Methanol Fuel Cell Model. - Pengtao Sun; Guangri Xue; Chaoyang Wang; Jinchao Xu (SIAM J. Appl. Math., 2009)

Numerical Studies of Adaptive Finite Element Methods for Two Dimensional Convection-Dominated Problems. - Pengtao Sun; Long Chen 002; Jinchao Xu (J. Sci. Comput., 2010)

An overlapping domain decomposition method for a polymer exchange membrane fuel cell model. - Mingyan He; Ziping Huang; Cheng Wang 011; Pengtao Sun; Shuang Zhai (ICCS, 2011)

An Efficient Two-grid Method for a Two-phase Mixed-domain Model of Polymer Exchange Membrane Fuel Cell. - Mingyan He; Ziping Huang; Cheng Wang 011; Pengtao Sun (ICCS, 2012)

Numerical Analysis of Finite Element Method for a Transient Two-Phase Transport Model of Polymer Electrolyte Fuel Cell. - Yuzhou Sun; Mingyan He; Pengtao Sun (ICCS, 2013)

An Overlapping Domain Decomposition Method for a 3D PEMFC Model. - Cheng Wang 011; Mingyan He; Ziping Huang; Pengtao Sun (Domain Decomposition Methods in Science and Engineering XX, 2013)

A Dirichlet/Robin iteration-by-subdomain method for an anisotropic, nonisothermal two-phase transport model of PEM fuel cell with micro-porous layer. - Pengtao Sun (J. Comput. Appl. Math., 2014)

Finite element approximation analysis for a steady state two-phase transport model of proton exchange membrane fuel cell. - Yuzhou Sun; Pengtao Sun (J. Comput. Appl. Math., 2014)

A two-grid combined finite element-upwind finite volume method for a nonlinear convection-dominated diffusion reaction equation. - Mingyan He; Pengtao Sun; Cheng Wang 011; Ziping Huang (J. Comput. Appl. Math., 2015)

Error analysis of finite element method for Poisson-Nernst-Planck equations. - Yuzhou Sun; Pengtao Sun; Bin Zheng; Guang Lin 001 (J. Comput. Appl. Math., 2016)

Asymptotic Analysis and Error Estimates of Mixed Finite Element Method for Brinkman Model. - Pengtao Sun; Yuzhou Sun (J. Sci. Comput., 2016)

Mixed Finite Element Analysis for an Elliptic/Mixed Elliptic Interface Problem with Jump Coefficients. - Rihui Lan; Pengtao Sun; Mo Mu (ICCS, 2017)

A Fictitious Domain Method with Distributed Lagrange Multiplier for Parabolic Problems With Moving Interfaces. - Cheng Wang 011; Pengtao Sun (J. Sci. Comput., 2017)

ALE Method for a Rotating Structure Immersed in the Fluid and Its Application to the Artificial Heart Pump in Hemodynamics. - Pengtao Sun; Wei Leng; Chen-Song Zhang; Rihui Lan; Jinchao Xu (ICCS (3), 2018)

A conforming enriched finite element method for Stokes interface problems. - Hua Wang; Jinru Chen; Pengtao Sun; Nan Wang (Comput. Math. Appl., 2018)

Mixed finite element analysis for the Poisson-Nernst-Planck/Stokes coupling. - Mingyan He; Pengtao Sun (J. Comput. Appl. Math., 2018)

A Linearized Local Conservative Mixed Finite Element Method for Poisson-Nernst-Planck Equations. - Huadong Gao; Pengtao Sun (J. Sci. Comput., 2018)

Correction to: A Linearized Local Conservative Mixed Finite Element Method for Poisson-Nernst-Planck Equations. - Huadong Gao; Pengtao Sun (J. Sci. Comput., 2018)

Quasi-optimal convergence rate for an adaptive hybridizable (C^0 ) discontinuous Galerkin method for Kirchhoff plates. - Pengtao Sun; Xuehai Huang (Numerische Mathematik, 2018)

Effects of Numerical Integration on DLM/FD Method for Solving Interface Problems with Body-Unfitted Meshes. - Cheng Wang 011; Pengtao Sun; Rihui Lan; Hao Shi; Fei Xu 003 (ICCS (4), 2019)

Fictitious domain finite element method for Stokes/elliptic interface problems with jump coefficients. - Pengtao Sun (J. Comput. Appl. Math., 2019)

Numerical simulation of an immersed rotating structure in fluid for hemodynamic applications. - Wei Leng; Chen-Song Zhang; Pengtao Sun; Bin Gao 005; Jinchao Xu (J. Comput. Sci., 2019)

Monolithic Arbitrary Lagrangian-Eulerian Finite Element Method for a Multi-domain Blood Flow-Aortic Wall Interaction Problem. - Pengtao Sun; Chen-Song Zhang; Rihui Lan; Lin Li (ICCS (7), 2020)

A Monolithic Arbitrary Lagrangian-Eulerian Finite Element Analysis for a Stokes/Parabolic Moving Interface Problem. - Rihui Lan; Pengtao Sun (J. Sci. Comput., 2020)

A Novel Arbitrary Lagrangian-Eulerian Finite Element Method for a Mixed Parabolic Problem in a Moving Domain. - Rihui Lan; Pengtao Sun (J. Sci. Comput., 2020)

A novel arbitrary Lagrangian-Eulerian finite element method for a parabolic/mixed parabolic moving interface problem. - Rihui Lan; Pengtao Sun (J. Comput. Appl. Math., 2021)

Multiscale and monolithic arbitrary Lagrangian-Eulerian finite element method for a hemodynamic fluid-structure interaction problem involving aneurysms. - Wenrui Hao; Pengtao Sun; Jinchao Xu; Lian Zhang (J. Comput. Phys., 2021)

An advanced ALE-mixed finite element method for a cardiovascular fluid-structure interaction problem with multiple moving interfaces. - Pengtao Sun; Chen-Song Zhang; Rihui Lan; Lin Li (J. Comput. Sci., 2021)

Mixed Finite Element Method for Modified Poisson-Nernst-Planck/Navier-Stokes Equations. - Mingyan He; Pengtao Sun (J. Sci. Comput., 2021)

Finite element approximations to a fourth-order modified Poisson-Fermi equation for electrostatic correlations in concentrated electrolytes. - Mingyan He; Pengtao Sun; Hui Zhao (Comput. Math. Appl., 2022)

A Deep Neural Network/Meshfree Method for Solving Dynamic Two-phase Interface Problems. - Xingwen Zhu; Xiaozhe Hu; Pengtao Sun (CoRR, 2022)

Physics-Informed Neural Networks for Solving Dynamic Two-Phase Interface Problems. - Xingwen Zhu; Xiaozhe Hu; Pengtao Sun (SIAM J. Sci. Comput., 2023)

A unified-field monolithic fictitious domain-finite element method for fluid-structure-contact interactions and applications to deterministic lateral displacement problems. - Cheng Wang 011; Pengtao Sun; Yumiao Zhang; Jinchao Xu; Yan Chen; Jiarui Han (J. Comput. Phys., 2024)

Energy-stable finite element method for a class of nonlinear fourth-order parabolic equations. - Jia Tian; Mingyan He; Pengtao Sun (J. Comput. Appl. Math., 2024)

Mixed finite element analysis for a modified Poisson-Fermi interface problem accounting for electrostatic correlations. - Mengjie Liu; Mingyan He; Pengtao Sun (Commun. Nonlinear Sci. Numer. Simul., 2025)

A projection-based time-segmented reduced order model for fluid-structure interactions. - Qijia Zhai; Shiquan Zhang; Pengtao Sun; Xiaoping Xie (J. Comput. Phys., 2025)