Second-order finite elements for Hex-Dominant explicit methods in nonlinear solid dynamics
نویسندگان
چکیده
منابع مشابه
Explicit Max Margin Input Feature Selection for Nonlinear SVM using Second Order Methods
Incorporating feature selection in nonlinear SVMs leads to a large and challenging nonconvex minimization problem, which can be prone to suboptimal solutions. We use a second order optimization method that utilizes eigenvalue information and is less likely to get stuck at suboptimal solutions. We devise an alternating optimization approach to tackle the problem efficiently, breaking it down int...
متن کاملSuperconvergence for Second Order Triangular Mixed and Standard Finite Elements
JYV ASKYL A 1996 2 Superconvergence for second order triangular mixed and standard nite elements. Abstract In this paper we will prove that both the second order Raviart-Thomas type mixed nite elements and the quadratic standard nite elements on regular and uniform triangular partitions, are superconvergent with respect to Fortin interpolation. This result implies the superconvergence for quadr...
متن کاملExplicit stable methods for second order parabolic systems ∗
We show that it is possible to construct stable, explicit finite difference approximations for the classical solution of the initial value problem for the parabolic systems of the form ∂tu = A(t,x)u + f on R, where A(t,x) = ∑ ij aij(t,x)∂i∂j + ∑ i bi(t,x)∂i + c(t,x). The numerical scheme relies on an approximation of the elliptic operator A(t,x) on an equidistant mesh by matrices that possess s...
متن کاملExplicit Two-Step Methods for Second-Order Linear IVPs
we present a new type of method for the integration of systems of linear inhomogeneous initial value problems with constant coefficients. Our methods are of hybrid explicit Numerov type. The methods are constructed without the intermediate use of high accuracy interpolatory nodes, since only the Taylor expansion at the internal points is needed. Then we derive the order conditions taking advant...
متن کاملImplicit-explicit multistep finite element methods for nonlinear parabolic problems
We approximate the solution of initial boundary value problems for nonlinear parabolic equations. In space we discretize by finite element methods. The discretization in time is based on linear multistep schemes. One part of the equation is discretized implicitly and the other explicitly. The resulting schemes are stable, consistent and very efficient, since their implementation requires at eac...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Finite Elements in Analysis and Design
سال: 2016
ISSN: 0168-874X
DOI: 10.1016/j.finel.2016.02.008