Nitsche Continuity Enforcement for Non-Conforming MeshesA method for modeling a subsurface reservoir system, the method including: generating, with a computer, a background mesh that does not honor at least one subsurface feature included in the subsurface reservoir system; splitting, with a computer...
A methodology to connect two or more non-conforming meshes generated from a geometric model is presented. The problem leads to a variational problem subject to constraints. The emphasis of the work is on constraints construction. Two methods, namely, discrete connection and continuous connection, are...
High-order finite elements constructed over these curved triangles achieve optimal accuracy, which has customarily proven difficult in numerical schemes that adopt nonconforming meshes.Aside from serving as a quick and simple tool for meshing planar curved domains with complex shapes, the method ...
Such configurations can lead to elements with large aspect ratios or non-physical connections, which requires fine tuning of the meshes to improve performance and stability of the solution [38]. It is important to bear in mind that this is even more challenging in 3D and makes stochastic ...
A class of nonconforming finite elements are applied to hyperbolic equation with semidiscretization on anisotropic meshes, the optimal error estimates are derived. 摘要在各向异性条件下,讨论了双曲型方程的一类协调有元逼近,给出了半离散格式下的最优误差佑计。 声明:以上例句、词性分类均由互联网资源自动生...
1.A class of nonconforming finite elements are applied to hyperbolic equation with semidiscretization on anisotropic meshes, the optimal error estimates are derived. 摘要在各向异性条件下,讨论了双曲型方程的一类非协调有限元逼,给出了半离散格式下的最优误差佑计。 声明:以上例句、词性分类均由资源自动生成...
Based on H1-Galerkin mixed finite element method with nonconforming quasi-Wilson element, a numerical approximate scheme is established for pseudo-hyperbolic equations under arbitrary quadrilateral meshes. The corresponding optimal order error estimate is derived by the interpolation technique instead of the...
Dong-yang Shi,Shao-chun Chen,Ichiro Hagiwara.Convergence analysis for a nonconforming membrane element on anisotropic meshes.Journal of Computational Mathematics. 2005Shi D Y, Chen S C, Hagiwara I. Convergence analysis for a nonconforming membrane element on anisotropic meshes. J Comput Math, 2005...
The ability to handle non-conforming meshes is essential for isogeometric finite element systems to avoid manipulations of the geometry model. In general two possible strategies exist. The first one is to enhance the weak form of the potential with additional terms to constrain the deformations of ...
The method of constructing the finite element approximations on these non-conforming hexahedral meshes is proposed. For discretization of the electromagnetic field in time, the implicit three-point scheme “with backward overstepping” is proposed. For solving the finite element SLAE, we use the ...