[PDF] Top 20 An immersed finite element space and its approximation capability

... [r] ... See full document

... characteristic approximation that is similar to that of MMOC-Galerkin method to handle advection in time and a lowest order mixed finite element spatial ap- proximation for diffusion ...the ... See full document

... penalty immersed finite element (PIFE) method on triangular grids for anisotropic flow models, in which the diffusion coefficient is a piecewise definite-positive ...finite element space is used on ... See full document

... other finite element software libraries sup- port solving equations over immersed manifolds, includ- ing ALBERTA (Schmidt et ...curl-conforming finite element spaces) (Dedner et ... See full document

... a finite size representative volume in which we consider the cell problems (in the ergodic ...a finite element ...a finite number of samples is used. A straightforward combination of ... See full document

... Hyperbolic variational equations are discussed and their existence and uniqueness of weak solution is established over in the last six decades. In this paper the hyperbolic equations (strong formula) can be transformed ... See full document

... 1.3. Critical points. In the Ambrosio–Tortorelli model, Lipschitz regularity of the domain is not required. Since, in practice, it is more convenient to model a pre-existing crack by a slit domain rather than an initial ... See full document

... one-dimensional space-fractional diffusion equation with variable coefficient by fractional Crank-Nicholson method based on the shifted Grünwald formula, and obtained an unconditional stable second-order accurate ... See full document

... the approximation is constructed into subdomains called ...of finite elements linking N nodes and discretizing the solid domain is used for defining the nodal ...of approximation is achieved through ... See full document

... where ϕ is the scalar variable, u the velocity vector, α the diffusion coefficient, r the reaction coefficient and f a source term. The solution strategy for solving such an equation is similar to that used for the ... See full document

... In a locally convex linear topological space every element possesses at least one best approximation with respect to every closed, convex and finite dimensional set.. In a finite dimensi[r] ... See full document

... [4] T. Hughes and L. Franca, “A New Finite Element F mulation for Computational Fluid Dynamics: VII. The Stokes Problem with Various Well-Posed Boundary Con ditions: Symmetric Formulations That Converge for ... See full document

... the immersed boundary (IB) method, which was initially proposed by Peskin to study the blood flow around heart valves ...by finite difference me- thod with periodic boundary conditions; whereas the sub- ... See full document

... this space that impacts the choice of a finite ele- ment discretisation is that it is only necessary for the tangential components of a field v to be continuous across element ...conforming ... See full document

... Abstract In this paper we suggest a fully discretized problem of a model describing two-step chemical ki- netics. The model considered is a system of equations coupling Navier-Stokes equations with three non-linear ... See full document

... developed immersed finite element method operates with a single analysis mesh for solid and fluid that is not subject to any ...finite element mesh is employed it is not subject to any geometrical ... See full document

... The minimization of the generalized Ambrosio–Tortorelli functional can be posed in terms of a variational equality and inequality (see Section 2), the solu- tions of which possess an interior layer in the vicinity of the ... See full document

... the immersed finite element method based on a uniform Cartesian mesh for elasticity equations with discontinuous physical parameters across an ... See full document

... is space truss, a three dimensional element, particularly used as roof for industrial and commercial structure spanning large ...of space truss can be performed by many commercial FEA software ... See full document

... rotations as the primary nodal variables; to satisfy the continuity requirement each node has both deflection and slope as nodal variables. Since there are four nodal variables for the beam element, a cubic ... See full document