mesh honors a geometry of the subsurface features; identifying, with a computer, element faces or edges where the resulting mesh is non-conforming and/or the element faces or edges lie on subsurface features; and performing a computer-based numerical simulation utilizing the resulting mesh to ...
Non-Conforming Mesh Gluing with Degenerated Generalized Barycentric Coordinates in Finite Elements Method The $H^m$-conforming virtual elements of any degree $k$ on any shape of\npolytope in $\\mathbb R^n$ with $m, n\\geq1$ and $k\\geq m$ are recursively\nconstructed by gluing conformin...
This study focuses on a modeling approach for single-phase flow in fractured porous media and its application to different types of non-conforming mesh models. We propose a combination of the Lagrange multiplier method with variational transfer techniques for simulating flow through fractured porous ...
We introduce a new method to triangulate planar, curved domains that transforms a specific collection of triangles in a background mesh to conform to the boundary. In the process, no new vertices are introduced, and connectivities of triangles are left unaltered. The method relies on a novel wa...
These results hold for any (bounded) irregularity index of the nonconformity of the mesh. Moreover, our analysis can be extended to hypercubes.YANLAI CHENDEPARTMENT OF MATHEMATICSCOCKBURNDEPARTMENT OF MATHEMATICSBERNARDODEPARTMENT OF MATHEMATICS
The focus of this work is on numerical treatments of non-conforming grid interfaces and non-conforming mesh blocks. Interface conditions are imposed weakly by the simultaneous approximation term technique in combination with interface operators, which move discrete solutions between grids at an interface...
Anisotropic meshNonconforming finite elementOptimal estimate摘要:doi:10.1016/j.cam.2004.09.051Dong-yang ShiDepartment of MathematicsShao-chun ChenDepartment of MathematicsIchiro HagiwaraTokyo Institute of TechnologyVIP计算数学(英文版)Dong-yang Shi,Shao-chun Chen,Ichiro Hagiwara.Convergence analysis for a no...
we propose to use the finite element method (FEM) on the non-conforming meshes (see, for example, Soloveichik et al., 2018a; Persova et al., 2020a), which makes it possible to include the sub-layers into the model with the required local mesh refinements without a significant increase...
Coupling Of Non-Conform Finite Elements And Boundary Elements II: A Posteriori Estimates And Adaptive Mesh-Refinement The coupling of nonconforming finite element and boundary element methods was established in Part I of this paper, where quasi-optimal a priori error estim... C Carstensen,SA Funken...
(designated as NC8-A and NC8-B) that are established by the combined use of reduced integration and addition of nonconforming displacement modes are presented in this paper. The results obtained by both NC8-A and NC8-B elements converged to the exact solutions very rapidly as the mesh is...