6) weak form 弱解形式 1. The electron density,the negative and positive ion density and the space electric field are all calculated by the weak form of finite element method (FEM). 建立棒–板长空气间隙放电的二维模型,导出流注–先导放电的二阶偏微分方程,通过有限元弱解形式(weakform)数值...
The present paper aims at the establishment of the weak form for the boundary value problem of composites with general imperfect interfaces, which is the first key step towards numerically implementing the imperfect interface effects within the framework of finite element. To achieve this objective, ...
Π= 1 2 u i, j C ijkl u k,l dΩ Ω∫ − w i t i dΓ Γ t ∫ − w i b i dΩ Ω∫ δΠ= 0 School of Aerospace, Tsinghua University 3/4 Finite Element Method 5.1 强形式和弱形式 Matrix form u = u x u y ⎡ ⎣ ⎢ ⎤ ⎦ ⎥ ε = [ ε xx ε yy γ...
4.1 强形式和弱形式 Matrix formAxisymmetricPlane strain 4.1 强形式和弱形式 Three Dimensions 第4章 线弹性问题的有限元格式4.2 多维问题的近似函数Approximations for Multidimensional Problems Three-Node Triangular ElementTetrahedral ElementsFour-node Rectangular ElementFour-node Quadrilateral ElementHexahedral Elements...
The present paper aims at the establishment of the weak form for the boundary value problem of composites with general imperfect interfaces, which is the first key step towards numerically implementing the imperfect interface effects within the framework of finite element. To achieve this objective, ...
using Strong FormMesh-Free methodsJURE SLAK ∗ , JoÅ¿ef Stefan Institute and Faculty of Mathematics and Physics, University of Ljubljana,SloveniaGREGOR KOSEC ∗ , JoÅ¿ef Stefan Institute, SloveniaMedusa, a novel library for implementation of strong form mesh-free methods, is described...
Even when neglecting the fluid mechanics, uniqueness of weak solutions in form of a weak-strong uniqueness principle is in general the best one can expect also for interface evolution problems. In this context, this is due to the formation of singularities and topology changes; see already, for...
Two types of Lagrange-Galerkin methods are presented: the strong and weak formulations. The strong form relies mainly on interpolation to achieve high accuracy while the weak form relies primarily on integration. Lagrange-Galerkin schemes offer an increased efficiency by virtue of their less stringent...
Guo B, Babuška I (1986) The hp version of the finite element method. Comput Mech 1(1):21–41 Article Google Scholar Mitchell WF (2016) Performance of hp-adaptive strategies for 3d elliptic problems Tinsley Oden J, Wu W, Ainsworth M (1995) In: Modeling, mesh generation, and adaptive...
strong form technique based on the particular solutions of anisotropic radial basis functions (A-RBFs) is extended to deal with anisotropic problem directly. The A-RBFs are constructed by introducing a special norm associated to the appearing anisotropic tensor and replacing it with the standard ...