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On Finite Element Approximations to a Shape Gradient Flow in Shape Optimization of Elliptic Problems

Journal of computational mathematics, 2023-01, Vol.41 (5), p.956-979

2023

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Numerical Shape Reconstruction for a Semi-Linear Elliptic Interface Inverse Problem

East Asian journal on applied mathematics, 2024, Vol.14 (1), p.147-178

2024

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On Distributed $H^1$ Shape Gradient Flows in Optimal Shape Design of Stokes Flows: Convergence Analysis and Numerical Applications

Journal of computational mathematics, 2022-01, Vol.40 (2), p.231-257

2022

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A level set method for Laplacian eigenvalue optimization subject to geometric constraints

Computational optimization and applications, 2022-06, Vol.82 (2), p.499-524

2022

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Isogeometric Analysis with Proper Orthogonal Decomposition for Elastodynamics

Communications in computational physics, 2021, Vol.30 (2), p.396-422

2021

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On a high-order Gaussian radial basis function generated Hermite finite difference method and its application

Calcolo, 2021-12, Vol.58 (4), Article 50

2021

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Finite Element Method Coupling Penalty Method for Flexural Shell Model

Advances in applied mathematics and mechanics, 2022-01, Vol.14 (2), p.365-385

2022

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Shape Gradient Methods for Shape Optimization of an Unsteady Multiscale Fluid–Structure Interaction Model

The Journal of geometric analysis, 2024-08, Vol.34 (8), Article 245

2024

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Convergence analysis of Galerkin finite element approximations to shape gradients in eigenvalue optimization

BIT, 2020-09, Vol.60 (3), p.853-878

2020

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Effective Shape Optimization of Laplace Eigenvalue Problems Using Domain Expressions of Eulerian Derivatives

Journal of optimization theory and applications, 2018, Vol.176 (1), p.17-34

Zhu, Shengfeng

2018

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Error and stability estimates of a time-fractional option pricing model under fully spatial–temporal graded meshes

Journal of computational and applied mathematics, 2023-06, Vol.425, p.115075, Article 115075

2023

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Shape optimization of Navier–Stokes flows by a two-grid method

Computer methods in applied mechanics and engineering, 2022-10, Vol.400, p.115531, Article 115531

2022

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Development of a Rotary Damper Integrated with Magnetorheological Bearings toward Extremely High Torque–Volume Ratio

Machines (Basel), 2023-03, Vol.11 (3), p.368

2023

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A discontinuous Galerkin level set method using distributed shape gradient and topological derivatives for multi-material structural topology optimization

Structural and multidisciplinary optimization, 2023-07, Vol.66 (7), p.170, Article 170

2023

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On Geometric Inverse Problems in Time-Fractional Subdiffusion

SIAM journal on scientific computing, 2022-12, Vol.44 (6), p.A3560-A3591

2022

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Shape Optimization of the Stokes Eigenvalue Problem

SIAM journal on scientific computing, 2023-01, Vol.45 (2), p.A798-A828

2023

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RBF-FD solution for a financial partial-integro differential equation utilizing the generalized multiquadric function

Computers & mathematics with applications (1987), 2021-01, Vol.82, p.161-178

2021

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Convergence analysis of mixed finite element approximations to shape gradients in the Stokes equation

Computer methods in applied mechanics and engineering, 2019-01, Vol.343, p.127-150

2019

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Shape optimization of Stokes flows by a penalty method

Applied numerical mathematics, 2024-02, Vol.196, p.133-158

2024

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On Discrete Shape Gradients of Boundary Type for PDE-constrained Shape Optimization

SIAM journal on numerical analysis, 2021-01, Vol.59 (3), p.1510-1541

2021

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Variational piecewise constant level set methods for shape optimization of a two-density drum

Journal of computational physics, 2010-07, Vol.229 (13), p.5062-5089

2010

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Binary level set methods for topology and shape optimization of a two-density inhomogeneous drum

Computer methods in applied mechanics and engineering, 2010-11, Vol.199 (45), p.2970-2986

2010

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Shape identification in Stokes flow with distributed shape gradients

Applied mathematics letters, 2019-09, Vol.95, p.165-171

2019

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Isogeometric analysis for time-fractional partial differential equations

Numerical algorithms, 2020-11, Vol.85 (3), p.909-930

2020

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A new efficient parametric level set method based on radial basis function-finite difference for structural topology optimization

Computers & structures, 2024-07, Vol.297, p.107364, Article 107364

2024

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On Finite Element Approximations to a Shape Gradient Flow in Shape Optimization of Elliptic Problems

Numerical Shape Reconstruction for a Semi-Linear Elliptic Interface Inverse Problem

On Distributed $H^1$ Shape Gradient Flows in Optimal Shape Design of Stokes Flows: Convergence Analysis and Numerical Applications

A level set method for Laplacian eigenvalue optimization subject to geometric constraints

Isogeometric Analysis with Proper Orthogonal Decomposition for Elastodynamics

On a high-order Gaussian radial basis function generated Hermite finite difference method and its application

Finite Element Method Coupling Penalty Method for Flexural Shell Model

Shape Gradient Methods for Shape Optimization of an Unsteady Multiscale Fluid–Structure Interaction Model

Convergence analysis of Galerkin finite element approximations to shape gradients in eigenvalue optimization

Effective Shape Optimization of Laplace Eigenvalue Problems Using Domain Expressions of Eulerian Derivatives

Error and stability estimates of a time-fractional option pricing model under fully spatial–temporal graded meshes

Shape optimization of Navier–Stokes flows by a two-grid method

Development of a Rotary Damper Integrated with Magnetorheological Bearings toward Extremely High Torque–Volume Ratio

A discontinuous Galerkin level set method using distributed shape gradient and topological derivatives for multi-material structural topology optimization

On Geometric Inverse Problems in Time-Fractional Subdiffusion

Shape Optimization of the Stokes Eigenvalue Problem

RBF-FD solution for a financial partial-integro differential equation utilizing the generalized multiquadric function

Convergence analysis of mixed finite element approximations to shape gradients in the Stokes equation

Shape optimization of Stokes flows by a penalty method

On Discrete Shape Gradients of Boundary Type for PDE-constrained Shape Optimization

Variational piecewise constant level set methods for shape optimization of a two-density drum

Binary level set methods for topology and shape optimization of a two-density inhomogeneous drum

Shape identification in Stokes flow with distributed shape gradients

Isogeometric analysis for time-fractional partial differential equations

A new efficient parametric level set method based on radial basis function-finite difference for structural topology optimization

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