A nodal finite element approximation of a phase field model for shape and topology optimization

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.07.049 ◽

2018 ◽

Vol 339 ◽

pp. 675-684 ◽

Author(s):

Xianliang Hu ◽

Yixin Li ◽

Hangjie Ji

Keyword(s):

Finite Element ◽

Topology Optimization ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Finite Element Approximation ◽

Element Approximation ◽

Shape And Topology Optimization ◽

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Finite Element Approximation of a Phase Field Model for Void Electromigration

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142902413421 ◽

2004 ◽

Vol 42 (2) ◽

pp. 738-772 ◽

Author(s):

John W. Barrett ◽

Robert Nürnberg ◽

Vanessa Styles

Keyword(s):

Finite Element ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Finite Element Approximation ◽

Element Approximation

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Finite element approximation of a phase field model for surface diffusion of voids in a stressed solid

Mathematics of Computation ◽

10.1090/s0025-5718-05-01802-8 ◽

2005 ◽

Vol 75 (253) ◽

pp. 7-42 ◽

Author(s):

John W. Barrett ◽

Harald Garcke ◽

Robert Nürnberg

Keyword(s):

Finite Element ◽

Surface Diffusion ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Finite Element Approximation ◽

Element Approximation

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Finite element approximation of a phase field model arising in nanostructure patterning

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21972 ◽

2015 ◽

Vol 31 (6) ◽

pp. 1890-1924 ◽

Author(s):

Robert Nürnberg ◽

Edward J. W. Tucker

Keyword(s):

Finite Element ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Finite Element Approximation ◽

Element Approximation

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Finite Element Approximation of a Three Dimensional Phase Field Model for Void Electromigration

Journal of Scientific Computing ◽

10.1007/s10915-008-9203-y ◽

2008 ◽

Vol 37 (2) ◽

pp. 202-232 ◽

Author(s):

Ľubomír Baňas ◽

Robert Nürnberg

Keyword(s):

Finite Element ◽

Phase Field ◽

Field Model ◽

Three Dimensional ◽

Phase Field Model ◽

Finite Element Approximation ◽

Element Approximation

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A phase-field model for simulation of the laser cladding process using a discontinuous viscosity variable and its approximation by finite element method

International Congress on Applications of Lasers & Electro-Optics ◽

10.2351/1.5060380 ◽

2004 ◽

Author(s):

Aaron Naber ◽

Richard Martukanitz

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Laser Cladding ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Laser Cladding Process ◽

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Numerical analysis of an unconditionally energy-stable reduced-order finite element method for the Allen-Cahn phase field model

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.05.014 ◽

2021 ◽

Vol 96 ◽

pp. 67-76

Author(s):

Huanrong Li ◽

Dongmei Wang ◽

Zhengyuan Song ◽

Fuchen Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Numerical Analysis ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Reduced Order ◽

Energy Stable ◽

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Two-phase flow analysis based on a phase-field model using orthogonal basis bubble function finite element method

International Journal of Computational Fluid Dynamics ◽

10.1080/10618560802238226 ◽

2008 ◽

Vol 22 (8) ◽

pp. 555-568 ◽

Author(s):

Junichi Matsumoto ◽

Naoki Takada

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Phase Field ◽

Field Model ◽

Flow Analysis ◽

Phase Field Model ◽

Orthogonal Basis ◽

Two Phase ◽

Bubble Function

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Decoupled, Linear, and Energy Stable Finite Element Method for the Cahn--Hilliard--Navier--Stokes--Darcy Phase Field Model

SIAM Journal on Scientific Computing ◽

10.1137/16m1100885 ◽

2018 ◽

Vol 40 (1) ◽

pp. B110-B137 ◽

Author(s):

Yali Gao ◽

Xiaoming He ◽

Liquan Mei ◽

Xiaofeng Yang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Navier Stokes ◽

Energy Stable ◽

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Prediction of pore evolution during selected laser melting solidification by a finite element-phase field model

Modelling and Simulation in Materials Science and Engineering ◽

10.1088/1361-651x/ab9733 ◽

2020 ◽

Vol 28 (6) ◽

pp. 065004

Author(s):

Yilin Liu ◽

Gang Wang ◽

Dechang Zeng

Keyword(s):

Finite Element ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Laser Melting ◽

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Finite element approximation for optimal shape, material and topology design

Choice Reviews Online ◽

10.5860/choice.34-5111 ◽

1997 ◽

Vol 34 (09) ◽

pp. 34-5111-34-5111

Keyword(s):

Finite Element ◽

Finite Element Approximation ◽

Optimal Shape ◽

Topology Design ◽

Element Approximation ◽

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