Weak enforcement of interface continuity and generalized periodicity in high‐order electromechanical problems
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Publication:6089281
DOI10.1002/nme.6882OpenAlexW3212153861MaRDI QIDQ6089281
Sonia Fernández-Méndez, Unnamed Author, Irene Arias, D. Codony
Publication date: 17 November 2023
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nme.6882
Nitsche methodflexoelectricityunfitted discretizationB-spline immersed boundary methodoptimal high-order convergence rate
Electromagnetic effects in solid mechanics (74F15) Numerical and other methods in solid mechanics (74S99)
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Cites Work
- Unnamed Item
- The finite cell method: a review in the context of higher-order structural analysis of CAD and image-based geometric models
- Mortar contact formulations for deformable-deformable contact: past contributions and new extensions for enriched and embedded interface formulations
- Subdivision-stabilised immersed b-spline finite elements for moving boundary flows
- An energy formulation of continuum magneto-electro-elasticity with applications
- Ghost penalty
- A robust Nitsche's formulation for interface problems
- Piezo-electromechanical (PEM) Kirchhoff-Love plates
- Imposing essential boundary conditions in mesh-free methods
- Error analysis of a mixed finite element method for the Cahn-Hilliard equation
- On the possibility of piezoelectric nanocomposites without using piezoelectric materials
- Calculation of the characteristic of thin elastic rods with a periodic structure
- Mixed finite element formulations of strain-gradient elasticity problems
- Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity
- The aggregated unfitted finite element method for elliptic problems
- An immersed boundary hierarchical B-spline method for flexoelectricity
- A C0 interior penalty finite element method for flexoelectricity
- A meshfree formulation for large deformation analysis of flexoelectric structures accounting for the surface effects
- The non-symmetric Nitsche method for the parameter-free imposition of weak boundary and coupling conditions in immersed finite elements
- A level-set based IGA formulation for topology optimization of flexoelectric materials
- Mixed isogeometric finite cell methods for the Stokes problem
- On first strain-gradient theories in linear elasticity
- Weighted Extended B-Spline Approximation of Dirichlet Problems
- Stable imposition of stiff constraints in explicit dynamics for embedded finite element methods
- Exact 3D boundary representation in finite element analysis based on Cartesian grids independent of the geometry
- A robust Nitsche's formulation for interface problems with spline-based finite elements
- Finite Element Analysis with B-Splines: Weighted and Isogeometric Methods
- Imposing Dirichlet boundary conditions with Nitsche's method and spline-based finite elements
- An efficient finite element method for embedded interface problems
- A review of homogenization and topology optimization I—homogenization theory for media with periodic structure
- Isogeometric Analysis
- Mixed finite-element formulations in piezoelectricity and flexoelectricity
- A stable and conservative finite difference scheme for the Cahn-Hilliard equation
- A practical guide to splines.
