منابع مشابه
Obstacle avoidance for an autonomous vehicle using force field method
This paper presents a force field concept for guiding a vehicle at a high speed maneuver. This method is similar to potential field method. In this paper, motion constrains like vehicles velocity, distance to obstacle and tire conditions and such lane change conditions as zero slop condition and zero lateral acceleration are discussed. After that, possible equations as vehicles path ar...
متن کاملAn L1 Penalty Method for General Obstacle Problems
We construct an efficient numerical scheme for solving obstacle problems in divergence form. The numerical method is based on a reformulation of the obstacle in terms of an L1-like penalty on the variational problem. The reformulation is an exact regularizer in the sense that for a large (but finite) penalty parameter, we recover the exact solution. Our formulation is applied to classical ellip...
متن کاملCubic splines method for solving fourth-order obstacle problems
In this paper, we develop a new cubic spline method for computing approximate solution of a system of fourth-order boundary value problems associated with obstacle, unilateral and contact problems. It is shown that the present method is of order two and gives approximations which are better than those produced by some other collocation, finite difference and spline methods. Numerical examples a...
متن کاملA Penalty Method for Some Nonlinear Variational Obstacle Problems∗
We formulate a penalty method for the obstacle problem associated with a nonlinear variational principle. It is proven that the solution to the relaxed variational problem (in both the continuous and discrete settings) is exact for finite parameter values above some calculable quantity. To solve the relaxed variational problem, an accelerated forward-backward method is used, which ensures conve...
متن کاملA posteriori estimators for obstacle problems by the hypercircle method
A posteriori error estimates for the obstacle problem are established in the framework of the hypercircle method. To this end, we provide a general theorem of Prager– Synge type. There is now no generic constant in the main term of the estimate. Moreover, the role of edge terms is elucidated, and the analysis also applies to other types of a posteriori error estimators for obstacle problems.
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: Zeitschrift für Analysis und ihre Anwendungen
سال: 2002
ISSN: 0232-2064
DOI: 10.4171/zaa/1075