نتایج جستجو برای: adaptive linear element adaline

تعداد نتایج: 852195  

2010
Maciej Paszynski David Pardo Anna Paszynska

The paper presents a parallel direct solver for multi-physics problems. The solver is dedicated for solving problems resulting from adaptive Finite Element Method computations. The concept of finite element is actually replaced by the concept of the node. The computational mesh consists of several nodes, related to element vertices, edges, faces and interiors. The ordering of unknowns in the so...

Journal: :Math. Comput. 2006
Thomas P. Wihler

An adaptive discontinuous Galerkin finite element method for linear elasticity problems is presented. We develop an a posteriori error estimate and prove its robustness with respect to nearly incompressible materials (absence of volume locking). Furthermore, we present some numerical experiments which illustrate the performance of the scheme on adaptively refined meshes.

Journal: :Foundations of Computational Mathematics 2016
Lars Diening Christian Kreuzer Rob P. Stevenson

In this paper, we prove that the standard adaptive finite element method with a (modified) maximum marking strategy is instance optimal for the total error, being the square root of the squared energy error plus the squared oscillation. This result will be derived in the model setting of Poisson’s equation on a polygon, linear finite elements, and conforming triangulations created by newest ver...

2003
Belinda King Naira Hovakimyan

A method is presented for augmenting a finite dimensional linear quadratic Gaussian (LQG) controller for a distributed parameter system with an adaptive output feedback element. The theory is discussed for a problem concerning control of vibrations in a nonlinear structure with bounded disturbance.

1998
PETER MONK

This paper is concerned with the derivation of a priori and a posteriori error bounds for a class of linear functionals arising in electromagnetics which represent the far-field pattern of the scattered electromagnetic field. The a posteriori error bound is implemented into an adaptive finite element algorithm, and a series of numerical experiments is presented.

2010
Philipp Dörsek Jens Markus Melenk Georg Kitzhofer Othmar Koch Gernot Pulverer Christa Simon Ewa B. Weinmüller Ansgar Jüngel Stefan Krause Paola Pietra Stefan Sauter Matthias Langer Harald Woracek Winfried Auzinger Felix Kramer Markus Aurada Samuel Ferraz-Leite Dirk Praetorius Laurent Desvillettes Céline Prévost

We present an a priori analysis of the hp-version of the finite element method for the primal formulation of frictional contact in linear elasticity. We introduce a new limiting case estimate for the interpolation error at Gauss and Gauss-Lobatto quadrature points. An hp-adaptive strategy is presented; numerical results shows that this strategy can lead to exponential convergence.

2004
M. I. Asensio J. M. Cascón L. Ferragut

In this paper we present a-posteriori error estimator for the mixed formulation of linear parabolic problem, used in designing an efficient adaptive algorithm. Our spacetime discretization consist of lowest order Raviart-Thomas finite element over graded meshes, and discontinuous Galerkin method with varying time-steps. Finally, several examples show that the proposed method is efficient and re...

2006
KIM S. BEY

This paper describes a parallel algorithm based on discontinuous hp-finite element approximations of linear, scalar, hyperbolic conservation laws. The paper focuseson the development of an elTcctiveparallel adaptive strategy for such problems. Numerical experimeOlssuggest that these techniques are highly parallelizable and exponentially convergent, thereby yielding cflicien.:yIllany times super...

Journal: :amirkabir international journal of electrical & electronics engineering 2013
m. badiei khuzani gh. moradi

this paper introduces a new method for accelerating current sluggish fem and improving memory demand in fem problems with high node resolution or bulky structures. like most of the numerical methods, fem results to a matrix equation which normally has huge dimension. breaking the main matrix equation into several smaller size matrices, the solving procedure can be accelerated. for implementing ...

2007
Alfred Schmidt Kunibert G. Siebert

ALBERT is an Adaptive multi-Level nite element toolbox using Bisectioning reenement and Error control by Residual Techniques. Its design is based on appropriate data structures holding geometrical, nite element, and algebraic information. Using such data structures, abstract adaptive methods for stationary and time dependent problems, assembly tools for discrete systems, and dimension dependent...

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