Shape optimization with virtual element method
DOI10.1016/j.cnsns.2024.107876OpenAlexW4391431350MaRDI QIDQ6203154
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Publication date: 27 February 2024
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2024.107876
Sensitivity, stability, well-posedness (49K40) Numerical optimization and variational techniques (65K10) Boundary value problems for second-order elliptic equations (35J25) Linear elasticity with initial stresses (74B10) Variational methods applied to PDEs (35A15) Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Optimization of shapes other than minimal surfaces (49Q10) Existence theories for optimal control problems involving partial differential equations (49J20) Variational methods for eigenvalues of operators (49R05) Fictitious domain methods for boundary value problems involving PDEs (65N85) Inverse problems in fluid mechanics (76M21) PDE constrained optimization (numerical aspects) (49M41)
Cites Work
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- Equivalent projectors for virtual element methods
- On the virtual element method for topology optimization on polygonal meshes: a numerical study
- Effective shape optimization of Laplace eigenvalue problems using domain expressions of Eulerian derivatives
- Numerical optimization of low eigenvalues of the Dirichlet and Neumann laplacians
- Adaptive multi-material topology optimization with hyperelastic materials under large deformations: a virtual element approach
- Lowest-order virtual element methods for linear elasticity problems
- A level set method for Laplacian eigenvalue optimization subject to geometric constraints
- Virtual element methods for elliptic variational inequalities of the second kind
- Comparison of approximate shape gradients
- Variational methods in shape optimization problems
- Divergence free virtual elements for the stokes problem on polygonal meshes
- Directional derivative of a minimax function
- Virtual element method for second-order elliptic eigenvalue problems
- Introduction to Shape Optimization
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- A Non-Consistent Virtual Element Method for Reaction Diffusion Equations
- Improved Discrete Boundary Type Shape Gradients for PDE-constrained Shape Optimization
- The Hitchhiker's Guide to the Virtual Element Method
- On optimum profiles in Stokes flow
- Anisotropic Error Estimates of the Linear Nonconforming Virtual Element Methods
- Numerical minimization of eigenmodes of a membrane with respect to the domain
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