An eigenvalue stabilization technique to increase the robustness of the finite cell method for finite strain problems
From MaRDI portal
Publication:2133905
DOI10.1007/s00466-022-02140-7zbMath1487.74120OpenAlexW4210262922WikidataQ113326537 ScholiaQ113326537MaRDI QIDQ2133905
Khuldoon Usman, Wadhah Garhuom, Alexander Düster
Publication date: 5 May 2022
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-022-02140-7
condition numberlarge deformationfinite cell methodhyperelastic plateeigenvalue stabilizationmaterial stabilization method
Related Items
Immersed boundary parametrizations for full waveform inversion ⋮ Non-negative moment fitting quadrature for cut finite elements and cells undergoing large deformations ⋮ Octree-based integration scheme with merged sub-cells for the finite cell method: application to non-linear problems in 3D
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical integration of discontinuities on arbitrary domains based on moment fitting
- The finite cell method: a review in the context of higher-order structural analysis of CAD and image-based geometric models
- The finite cell method for linear thermoelasticity
- Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method
- Finite and spectral cell method for wave propagation in heterogeneous materials
- Ghost penalty
- Theoretical and numerical investigation of the finite cell method
- The finite cell method for three-dimensional problems of solid mechanics
- Finite cell method. \(h\)- and \(p\)-extension for embedded domain problems in solid mechanics
- The finite cell method for nearly incompressible finite strain plasticity problems with complex geometries
- Image-based goal-oriented adaptive isogeometric analysis with application to the micro-mechanical modeling of trabecular bone
- Small and large deformation analysis with the \(p\)- and B-spline versions of the finite cell method
- Equivalent Legendre polynomials: numerical integration of discontinuous functions in the finite element methods
- Numerical homogenization of hybrid metal foams using the finite cell method
- Non-standard discretisation methods in solid mechanics
- Numerical integration for nonlinear problems of the finite cell method using an adaptive scheme based on moment fitting
- A remeshing strategy for large deformations in the finite cell method
- Image-based material characterization of complex microarchitectured additively manufactured structures
- Condition number analysis and preconditioning of the finite cell method
- Smart octrees: accurately integrating discontinuous functions in 3D
- A stabilization technique for the regularization of nearly singular extended finite elements
- Selective enrichment of moment fitting and application to cut finite elements and cells
- Equivalent polynomials for quadrature in Heaviside function enriched elements
- CutFEM: Discretizing geometry and partial differential equations
- PERFORMANCE OF DIFFERENT INTEGRATION SCHEMES IN FACING DISCONTINUITIES IN THE FINITE CELL METHOD
- Finite Cell Method: High-Order Structural Dynamics for Complex Geometries
- On the Use of Rigid Body Modes in the Deflated Preconditioned Conjugate Gradient Method
- Adaptive Integration of Cut Finite Elements and Cells for Nonlinear Structural Analysis
- Experimental and numerical investigation of single pores for identification of effective metal foams properties
- Spline‐ and hp‐basis functions of higher differentiability in the finite cell method
