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2020 – today
- 2025
[j30]Mengjie Liu, Mingyan He, Pengtao Sun
:
Mixed finite element analysis for a modified Poisson-Fermi interface problem accounting for electrostatic correlations. Commun. Nonlinear Sci. Numer. Simul. 140: 108385 (2025)- [j29]Qijia Zhai, Shiquan Zhang, Pengtao Sun, Xiaoping Xie:
A projection-based time-segmented reduced order model for fluid-structure interactions. J. Comput. Phys. 520: 113481 (2025) - 2024
- [j28]Jia Tian, Mingyan He, Pengtao Sun:
Energy-stable finite element method for a class of nonlinear fourth-order parabolic equations. J. Comput. Appl. Math. 438: 115576 (2024) - [j27]Cheng Wang, Pengtao Sun, Yumiao Zhang, Jinchao Xu, Yan Chen, Jiarui Han:
A unified-field monolithic fictitious domain-finite element method for fluid-structure-contact interactions and applications to deterministic lateral displacement problems. J. Comput. Phys. 510: 113083 (2024) - [i3]Qijia Zhai, Shiquan Zhang, Pengtao Sun, Xiaoping Xie:
A Projection-Based Time-Segmented Reduced Order Model for Fluid-Structure Interactions. CoRR abs/2402.08172 (2024) - [i2]Cheng Wang, Pengtao Sun, Yumiao Zhang, Jinchao Xu, Yan Chen, Jiarui Han:
A Unified-Field Monolithic Fictitious Domain-Finite Element Method for Fluid-Structure-Contact Interactions and Applications to Deterministic Lateral Displacement Problems. CoRR abs/2402.12517 (2024) - 2023
- [j26]Xingwen Zhu, Xiaozhe Hu, Pengtao Sun:
Physics-Informed Neural Networks for Solving Dynamic Two-Phase Interface Problems. SIAM J. Sci. Comput. 45(6): 2912-2944 (2023) - 2022
- [j25]Mingyan He, Pengtao Sun, Hui Zhao:
Finite element approximations to a fourth-order modified Poisson-Fermi equation for electrostatic correlations in concentrated electrolytes. Comput. Math. Appl. 117: 229-244 (2022) - [i1]Xingwen Zhu, Xiaozhe Hu, Pengtao Sun:
A Deep Neural Network/Meshfree Method for Solving Dynamic Two-phase Interface Problems. CoRR abs/2207.10725 (2022) - 2021
- [j24]Rihui Lan, Pengtao Sun:
A novel arbitrary Lagrangian-Eulerian finite element method for a parabolic/mixed parabolic moving interface problem. J. Comput. Appl. Math. 383: 113125 (2021) - [j23]Wenrui Hao, Pengtao Sun, Jinchao Xu, Lian Zhang:
Multiscale and monolithic arbitrary Lagrangian-Eulerian finite element method for a hemodynamic fluid-structure interaction problem involving aneurysms. J. Comput. Phys. 433: 110181 (2021) - [j22]Pengtao Sun, Chen-Song Zhang, Rihui Lan, Lin Li:
An advanced ALE-mixed finite element method for a cardiovascular fluid-structure interaction problem with multiple moving interfaces. J. Comput. Sci. 50: 101300 (2021) - [j21]Mingyan He, Pengtao Sun:
Mixed Finite Element Method for Modified Poisson-Nernst-Planck/Navier-Stokes Equations. J. Sci. Comput. 87(3): 80 (2021) - 2020
- [j20]Rihui Lan, Pengtao Sun:
A Monolithic Arbitrary Lagrangian-Eulerian Finite Element Analysis for a Stokes/Parabolic Moving Interface Problem. J. Sci. Comput. 82(3): 59 (2020) - [j19]Rihui Lan, Pengtao Sun:
A Novel Arbitrary Lagrangian-Eulerian Finite Element Method for a Mixed Parabolic Problem in a Moving Domain. J. Sci. Comput. 85(1): 9 (2020) - [c7]Pengtao Sun, Chen-Song Zhang, Rihui Lan, Lin Li:
Monolithic Arbitrary Lagrangian-Eulerian Finite Element Method for a Multi-domain Blood Flow-Aortic Wall Interaction Problem. ICCS (7) 2020: 60-74
2010 – 2019
- 2019
- [j18]Pengtao Sun:
Fictitious domain finite element method for Stokes/elliptic interface problems with jump coefficients. J. Comput. Appl. Math. 356: 81-97 (2019) - [j17]Wei Leng, Chen-Song Zhang, Pengtao Sun, Bin Gao, Jinchao Xu:
Numerical simulation of an immersed rotating structure in fluid for hemodynamic applications. J. Comput. Sci. 30: 79-89 (2019) - [c6]Cheng Wang, Pengtao Sun, Rihui Lan, Hao Shi, Fei Xu:
Effects of Numerical Integration on DLM/FD Method for Solving Interface Problems with Body-Unfitted Meshes. ICCS (4) 2019: 551-567 - 2018
- [j16]Hua Wang, Jinru Chen, Pengtao Sun, Nan Wang:
A conforming enriched finite element method for Stokes interface problems. Comput. Math. Appl. 75(12): 4256-4271 (2018) - [j15]Mingyan He, Pengtao Sun:
Mixed finite element analysis for the Poisson-Nernst-Planck/Stokes coupling. J. Comput. Appl. Math. 341: 61-79 (2018) - [j14]Huadong Gao, Pengtao Sun:
A Linearized Local Conservative Mixed Finite Element Method for Poisson-Nernst-Planck Equations. J. Sci. Comput. 77(2): 793-817 (2018) - [j13]Huadong Gao, Pengtao Sun:
Correction to: A Linearized Local Conservative Mixed Finite Element Method for Poisson-Nernst-Planck Equations. J. Sci. Comput. 77(2): 818 (2018) - [j12]Pengtao Sun, Xuehai Huang:
Quasi-optimal convergence rate for an adaptive hybridizable \(C^0\) discontinuous Galerkin method for Kirchhoff plates. Numerische Mathematik 139(4): 795-829 (2018) - [c5]Pengtao Sun, Wei Leng, Chen-Song Zhang, Rihui Lan, Jinchao Xu:
ALE Method for a Rotating Structure Immersed in the Fluid and Its Application to the Artificial Heart Pump in Hemodynamics. ICCS (3) 2018: 9-23 - 2017
- [j11]Cheng Wang, Pengtao Sun:
A Fictitious Domain Method with Distributed Lagrange Multiplier for Parabolic Problems With Moving Interfaces. J. Sci. Comput. 70(2): 686-716 (2017) - [c4]Rihui Lan, Pengtao Sun, Mo Mu:
Mixed Finite Element Analysis for an Elliptic/Mixed Elliptic Interface Problem with Jump Coefficients. ICCS 2017: 1913-1922 - 2016
- [j10]Yuzhou Sun, Pengtao Sun, Bin Zheng, Guang Lin:
Error analysis of finite element method for Poisson-Nernst-Planck equations. J. Comput. Appl. Math. 301: 28-43 (2016) - [j9]Pengtao Sun, Yuzhou Sun:
Asymptotic Analysis and Error Estimates of Mixed Finite Element Method for Brinkman Model. J. Sci. Comput. 68(1): 116-142 (2016) - 2015
- [j8]Mingyan He, Pengtao Sun, Cheng Wang, Ziping Huang:
A two-grid combined finite element-upwind finite volume method for a nonlinear convection-dominated diffusion reaction equation. J. Comput. Appl. Math. 288: 223-232 (2015) - 2014
- [j7]Yuzhou Sun, Pengtao Sun:
Finite element approximation analysis for a steady state two-phase transport model of proton exchange membrane fuel cell. J. Comput. Appl. Math. 270: 198-210 (2014) - [j6]Pengtao Sun:
A Dirichlet/Robin iteration-by-subdomain method for an anisotropic, nonisothermal two-phase transport model of PEM fuel cell with micro-porous layer. J. Comput. Appl. Math. 270: 241-256 (2014) - 2013
- [c3]Yuzhou Sun, Mingyan He, Pengtao Sun:
Numerical Analysis of Finite Element Method for a Transient Two-Phase Transport Model of Polymer Electrolyte Fuel Cell. ICCS 2013: 2167-2176 - [p1]Cheng Wang, Mingyan He, Ziping Huang, Pengtao Sun:
An Overlapping Domain Decomposition Method for a 3D PEMFC Model. Domain Decomposition Methods in Science and Engineering XX 2013: 119-126 - 2012
- [c2]Mingyan He, Ziping Huang, Cheng Wang, Pengtao Sun:
An Efficient Two-grid Method for a Two-phase Mixed-domain Model of Polymer Exchange Membrane Fuel Cell. ICCS 2012: 689-698 - 2011
- [c1]Mingyan He, Ziping Huang, Cheng Wang, Pengtao Sun, Shuang Zhai:
An overlapping domain decomposition method for a polymer exchange membrane fuel cell model. ICCS 2011: 1343-1352 - 2010
- [j5]Pengtao Sun, Long Chen, Jinchao Xu:
Numerical Studies of Adaptive Finite Element Methods for Two Dimensional Convection-Dominated Problems. J. Sci. Comput. 43(1): 24-43 (2010)
2000 – 2009
- 2009
- [j4]Pengtao Sun, Guangri Xue, Chaoyang Wang, Jinchao Xu:
A domain decomposition method for two-phase transport model in the cathode of a polymer electrolyte fuel cell. J. Comput. Phys. 228(16): 6016-6036 (2009) - [j3]Pengtao Sun, Guangri Xue, Chaoyang Wang, Jinchao Xu:
New Numerical Techniques for a Three-Dimensional Liquid-Feed Direct Methanol Fuel Cell Model. SIAM J. Appl. Math. 70(2): 600-620 (2009) - 2007
- [j2]Pengtao Sun, Robert D. Russell, Jinchao Xu:
A new adaptive local mesh refinement algorithm and its application on fourth order thin film flow problem. J. Comput. Phys. 224(2): 1021-1048 (2007) - [j1]Long Chen, Pengtao Sun, Jinchao Xu:
Optimal anisotropic meshes for minimizing interpolation errors in Lp-norm. Math. Comput. 76(257): 179-204 (2007)
Coauthor Index
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