A discrete three-dimensional divdiv complex on polyhedral meshes with application to a mixed formulation of the biharmonic problem
DOI10.1142/s0218202524500313zbMATH Open1547.65175MaRDI QIDQ6610239
Unnamed Author, Daniele A. Di Pietro
Publication date: 25 September 2024
Published in: M\(^3\)AS. Mathematical Models \& Methods in Applied Sciences (Search for Journal in Brave)
PDEs in connection with optics and electromagnetic theory (35Q60) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Numerical methods for partial differential equations, boundary value problems (65N99)
Cites Work
- Unnamed Item
- On the flexibility of agglomeration based physical space discontinuous Galerkin discretizations
- Numerical integration of homogeneous functions on convex and nonconvex polygons and polyhedra
- A third Strang lemma and an Aubin-Nitsche trick for schemes in fully discrete formulation
- Serendipity virtual elements for general elliptic equations in three dimensions
- Mixed finite elements for elasticity
- Complexes from complexes
- Discrete Hessian complexes in three dimensions
- The hybrid high-order method for polytopal meshes. Design, analysis, and applications
- A mixed finite element method for elasticity in three dimensions
- Stabilization-free serendipity virtual element method for plane elasticity
- An arbitrary-order discrete de Rham complex on polyhedral meshes: exactness, Poincaré inequalities, and consistency
- $hp$-Version Composite Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains
- Ws,p-approximation properties of elliptic projectors on polynomial spaces, with application to the error analysis of a Hybrid High-Order discretisation of Leray–Lions problems
- Fully discrete polynomial de Rham sequences of arbitrary degree on polygons and polyhedra
- Finite elements for symmetric tensors in three dimensions
- Mixed Finite Element Methods and Applications
- A fully discrete plates complex on polygonal meshes with application to the Kirchhoff–Love problem
- Finite elements for divdiv conforming symmetric tensors in three dimensions
- Finite Elements for div- and divdiv-Conforming Symmetric Tensors in Arbitrary Dimension
- The divDiv-complex and applications to biharmonic equations
- Conforming Finite Element DIVDIV Complexes and the Application for the Linearized Einstein--Bianchi System
- Homological- and analytical-preserving serendipity framework for polytopal complexes, with application to the DDR method
- Stability and interpolation properties of serendipity nodal virtual elements
- Cohomology of the discrete de Rham complex on domains of general topology
- A discrete elasticity complex on three-dimensional Alfeld splits
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