Pengtao Sun

Orcid: 0000-0001-8621-9529

According to our database1, Pengtao Sun authored at least 39 papers between 2007 and 2025.

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Bibliography

2025
A projection-based time-segmented reduced order model for fluid-structure interactions.
J. Comput. Phys., 2025

Mixed finite element analysis for a modified Poisson-Fermi interface problem accounting for electrostatic correlations.
Commun. Nonlinear Sci. Numer. Simul., 2025

2024
Energy-stable finite element method for a class of nonlinear fourth-order parabolic equations.
J. Comput. Appl. Math., March, 2024

A unified-field monolithic fictitious domain-finite element method for fluid-structure-contact interactions and applications to deterministic lateral displacement problems.
J. Comput. Phys., 2024

2023
Physics-Informed Neural Networks for Solving Dynamic Two-Phase Interface Problems.
SIAM J. Sci. Comput., December, 2023

2022
A Deep Neural Network/Meshfree Method for Solving Dynamic Two-phase Interface Problems.
CoRR, 2022

Finite element approximations to a fourth-order modified Poisson-Fermi equation for electrostatic correlations in concentrated electrolytes.
Comput. Math. Appl., 2022

2021
Mixed Finite Element Method for Modified Poisson-Nernst-Planck/Navier-Stokes Equations.
J. Sci. Comput., 2021

An advanced ALE-mixed finite element method for a cardiovascular fluid-structure interaction problem with multiple moving interfaces.
J. Comput. Sci., 2021

Multiscale and monolithic arbitrary Lagrangian-Eulerian finite element method for a hemodynamic fluid-structure interaction problem involving aneurysms.
J. Comput. Phys., 2021

A novel arbitrary Lagrangian-Eulerian finite element method for a parabolic/mixed parabolic moving interface problem.
J. Comput. Appl. Math., 2021

2020
A Novel Arbitrary Lagrangian-Eulerian Finite Element Method for a Mixed Parabolic Problem in a Moving Domain.
J. Sci. Comput., 2020

A Monolithic Arbitrary Lagrangian-Eulerian Finite Element Analysis for a Stokes/Parabolic Moving Interface Problem.
J. Sci. Comput., 2020

Monolithic Arbitrary Lagrangian-Eulerian Finite Element Method for a Multi-domain Blood Flow-Aortic Wall Interaction Problem.
Proceedings of the Computational Science - ICCS 2020, 2020

2019
Numerical simulation of an immersed rotating structure in fluid for hemodynamic applications.
J. Comput. Sci., 2019

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

Effects of Numerical Integration on DLM/FD Method for Solving Interface Problems with Body-Unfitted Meshes.
Proceedings of the Computational Science - ICCS 2019, 2019

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

Correction to: A Linearized Local Conservative Mixed Finite Element Method for Poisson-Nernst-Planck Equations.
J. Sci. Comput., 2018

A Linearized Local Conservative Mixed Finite Element Method for Poisson-Nernst-Planck Equations.
J. Sci. Comput., 2018

Mixed finite element analysis for the Poisson-Nernst-Planck/Stokes coupling.
J. Comput. Appl. Math., 2018

A conforming enriched finite element method for Stokes interface problems.
Comput. Math. Appl., 2018

ALE Method for a Rotating Structure Immersed in the Fluid and Its Application to the Artificial Heart Pump in Hemodynamics.
Proceedings of the Computational Science - ICCS 2018, 2018

2017
A Fictitious Domain Method with Distributed Lagrange Multiplier for Parabolic Problems With Moving Interfaces.
J. Sci. Comput., 2017

Mixed Finite Element Analysis for an Elliptic/Mixed Elliptic Interface Problem with Jump Coefficients.
Proceedings of the International Conference on Computational Science, 2017

2016
Asymptotic Analysis and Error Estimates of Mixed Finite Element Method for Brinkman Model.
J. Sci. Comput., 2016

Error analysis of finite element method for Poisson-Nernst-Planck equations.
J. Comput. Appl. Math., 2016

2015
A two-grid combined finite element-upwind finite volume method for a nonlinear convection-dominated diffusion reaction equation.
J. Comput. Appl. Math., 2015

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

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., 2014

2013
An Overlapping Domain Decomposition Method for a 3D PEMFC Model.
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

Numerical Analysis of Finite Element Method for a Transient Two-Phase Transport Model of Polymer Electrolyte Fuel Cell.
Proceedings of the International Conference on Computational Science, 2013

2012
An Efficient Two-grid Method for a Two-phase Mixed-domain Model of Polymer Exchange Membrane Fuel Cell.
Proceedings of the International Conference on Computational Science, 2012

2011
An overlapping domain decomposition method for a polymer exchange membrane fuel cell model.
Proceedings of the International Conference on Computational Science, 2011

2010
Numerical Studies of Adaptive Finite Element Methods for Two Dimensional Convection-Dominated Problems.
J. Sci. Comput., 2010

2009
New Numerical Techniques for a Three-Dimensional Liquid-Feed Direct Methanol Fuel Cell Model.
SIAM J. Appl. Math., 2009

A domain decomposition method for two-phase transport model in the cathode of a polymer electrolyte fuel cell.
J. Comput. Phys., 2009

2007
Optimal anisotropic meshes for minimizing interpolation errors in L<sup>p</sup>-norm.
Math. Comput., 2007

A new adaptive local mesh refinement algorithm and its application on fourth order thin film flow problem.
J. Comput. Phys., 2007


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