High-order conforming finite elements on pyramids
From MaRDI portal
Publication:2882352
DOI10.1093/imanum/drr015zbMath1241.65102arXiv1006.5240OpenAlexW2031607020MaRDI QIDQ2882352
Joel R. Phillips, Nilima Nigam
Publication date: 4 May 2012
Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1006.5240
Boundary value problems for second-order elliptic equations (35J25) 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)
Related Items
Finite Element Methods for Maxwell's Equations ⋮ Maxwell’s Equations: Continuous and Discrete ⋮ A Comparison of High Order Interpolation Nodes for the Pyramid ⋮ Enabling four-dimensional conformal hybrid meshing with cubic pyramids ⋮ Bernstein-Bézier finite elements on tetrahedral-hexahedral-pyramidal partitions ⋮ A 3D pyramid spline element ⋮ Higher-order finite elements for hybrid meshes using new nodal pyramidal elements ⋮ A mixed discretization of elliptic problems on polyhedra using anisotropic hybrid meshes ⋮ Enhanced and efficient scaled boundary finite elements for mechanical problems under the action of body loads ⋮ Exact sequences of conforming finite element spaces with interface constraints for macro polytopal meshes ⋮ Higher‐order discontinuous Galerkin method for pyramidal elements using orthogonal bases ⋮ Orientation embedded high order shape functions for the exact sequence elements of all shapes ⋮ A Short Note on a Bernstein--Bezier Basis for the Pyramid ⋮ Whitney forms and their extensions ⋮ Error estimates for the scaled boundary finite element method ⋮ Orthogonal Bases for Vertex-Mapped Pyramids ⋮ Serendipity and Tensor Product Affine Pyramid Finite Elements ⋮ A Systematic Construction of Finite Element Commuting Exact Sequences ⋮ A lowest-order composite finite element exact sequence on pyramids ⋮ High-order polygonal discontinuous Petrov-Galerkin (PolyDPG) methods using ultraweak formulations
