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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A structure-preserving parametric finite element method (PFEM) for geometric PDEs and applications
几何偏微分方程 结构保持 参数有限元
2023/4/17
In this talk, I begin with a review of different geometric flows (PDEs) including mean curvature (curve shortening) flow,surface diffusion flow, Willmore flow, etc., which arise from materials science...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：An Unfitted Interface Penalty Partly DG Finite Element Method for Interface Problems
接口问题 未拟合 有限元法 部分DG惩罚 Nitsche方法
2023/4/24
An unfitted interface penalty finite element method is proposed for the interface problems, in which Nitsche's method together with the ideas of merging elements and harmonic weighing fluxes are used,...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： A decoupled, linear, and unconditionally energy stable finite element method for a two-phase ferrohydrodynamics model
两相铁流体 动力学模型 能量稳定 有限元方法
2023/4/28
In this talk, we present numerical approximations of a phase-field model for two-phase ferrofluids, which consists of the Navier-Stokes equations, the Cahn-Hilliard equation, the magnetostatic equatio...
MIXED FINITE ELEMENT METHOD FOR ELECTROWETTING ON DIELECTRIC WITH CONTACT LINE PINNING
FINITE ELEMENT CONTACT LINE PINNING
2015/12/11
We present a mixed finite element method for a model of the flow in
a Hele-Shaw cell of 2-D fluid droplets surrounded by air driven by surface tension
and actuated by an electric &...
Nonconforming H1-Galerkin Mixed Finite Element Method for Pseudo-Hyperbolic Equations
Pseudo-Hyperbolic Equation Nonconforming H1-Galerkin Mixed Finite Element Error Estimate
2013/1/30
Based on H1-Galerkin mixed finite element method with nonconforming quasi-Wilson element, a numerical approximate scheme is established for pseudo-hyperbolic equations under arbitrary quadrilateral me...
Semi-Implicit Finite Element Method and its Convergence of Single-Particle Reconstruction Using L2-Gradient Flow
Semi-Implicit Finite Element Method Convergence Single-Particle Reconstruction
2012/8/10
In an earlier paper, we presented an iterative algorithm for reconstructing a three dimensional
density function from a set of two dimensional electron microscopy images. By
minimizing an energy fun...
Gradient Flow Based Semi-implicit Finite Element Method and its Convergence Analysis for Image Reconstruction
Gradient flow, Finite element method, Convergence analysis, Image reconstruction
2012/8/10
In this paper, we present a novel L2-gradient flow based semi-implicit finite element
method for solving a variational model of image reconstruction under various data scenarios,
especially for the ...
Convergence OF The Heterogeneous Multiscale Finite Element Method For Elliptic Problem With Nonsmooth Microstructures
Finite Element Method Nonsmooth Microstructures
2012/8/10
We propose a condition under which the heterogeneous multiscale 痭ite element
method converges for elliptic problem with nonsmooth coe眂ients, and obtain the optimal
convergence rate for elliptic prob...
A posteriori error analysis for a continuous space-time finite element method for a hyperbolic integro-differential equation
integro-differential equation continuous Galerkin finite element method convolution kernel stability a posteriori estimate
2012/5/9
An integro-differential equation of hyperbolic type, with mixed boundary conditions, is considered. A continuous space-time finite element method of degree one is formulated. A posteriori error repres...
Thermal modelling for endocardiac radiofrequency ablation: comparison of hyperbolic bioheat equation and Pennes bioheat equation with finite element method
Finite Element Method hyperbolic heat equation Pennes heat equation radiofrequency ablation theoretical model
2012/4/17
The objectives of this study are to model the endocardiac radiofrequency (RF) ablation procedure and to employ the Hyperbolic Bioheat Equation (HBE), which takes the thermal wave behaviour into accoun...
Natural frequencies of cracked functionally graded material plates by the extended finite element method
Mindlin plate theory vibration partition of unity methods extended finite element method
2011/9/15
Abstract: In this paper, the linear free flexural vibration of cracked functionally graded material plates is studied using the extended finite element method. A 4-noded quadrilateral plate bending el...
On the approximation in the smoothed finite element method (SFEM)
Smoothed Finite ElementMethod boundary integration Wachspress Interpolants strain smoothing rational basis finite elements
2011/10/9
Abstract: This letter aims at resolving the issues raised in the recent short communication [1] and answered by [2] by proposing a systematic approximation scheme based on non-mapped shape functions, ...
Energy stable and momentum conserving interface stabilised finite element method for the incompressible Navier-Stokes equations
Finite element method stabilised finite element methods
2011/3/3
An interface stabilised finite element method for the incompressible Navier-Stokes
equations is presented. The method inherits the attractive stabilising mechanism of upwinded discon-tinuous Galerkin...
Variable Order Mixed H-Finite Element Method for Linear Elasticity with Weakly Imposed Symmetry. Ii. Affine and Curvilinear Elements in 2D
Variable Mixed H-Finite Element Method
2010/11/9
We continue our study on variable order Arnold-Falk-Winther elements for 2D elasticity in context of both affine and parametric curvilinear elements. We present an $h$-stability result for affine ele...
Convergence Analysis of the Adaptive Finite Element Method with the Red-Green Refinement
Adaptive Finite Element Method Convergence Analysis Red-Green Refinement
2015/5/6
Abstract. In this paper, we analyze the convergence of the adaptive conforming P 1 element method with the red-green refinement. Since the mesh after refining is not nested into the one before, the Ga...