Results 31 to 40 of about 267 (138)

An Adaptive Multilevel Approach to Parabolic Equations III.

open access: yes, 1991
Part III of the paper is devoted to the construction of an adaptive FEM solver in two spatial dimensions, which is able to handle the singularly perturbed elliptic problems arising from discretization in time.
Bornemann, Folkmar A.
core   +1 more source

Goal-oriented adaptive finite element methods with optimal computational complexity. [PDF]

open access: yesNumer Math (Heidelb), 2023
Becker R   +3 more
europepmc   +1 more source

© Hindawi Publishing Corp. L∞-ERROR ESTIMATE FOR A SYSTEM OF ELLIPTIC QUASIVARIATIONAL INEQUALITIES

open access: yes, 2001
We deal with the numerical analysis of a system of elliptic quasivariational inequal-ities (QVIs). Under W2,p(Ω)-regularity of the continuous solution, a quasi-optimal L∞-convergence of a piecewise linear finite element method is established, involv-ing ...
M. Haiour, S. Saadi, M. Boulbrachene
core  

A hybrid numerical method approach for the two-dimensional coupled Burgers’ equations with nonlinearity preservation

open access: yesMathematical and Computer Modelling of Dynamical Systems
In this study, we develop a novel hybrid numerical method based on the finite element method and finite difference method for solving the two-dimensional coupled Burgers’ equations.
Aysenur Busra Cakay, Selmahan Selim
doaj   +1 more source

Convergence of a finite element method for non-parametric mean curvature flow

open access: yes, 1993
Convergence for the spatial discretization by linear finite elements of the non-parametric mean curvature flow is proved under natural regularity assumptions on the continuous solution.
Bonn Univ. (Germany). Sonderforschungsbereich 256 -Nichtlineare Partielle Differentialgleichungen   +2 more
core  

DUAL FUNCTIONS FOR A PARALLEL ADAPTIVE METHOD

open access: yes, 2006
. In this paper, we investigate the effects of pollution error on the performance of the parallel adaptive finite element technique proposed by Bank and Holst in 2000.
Randolph E. Bank   +4 more
core  

RİJİT ZEMİN ÜZERİNE OTURMUŞ ÖNGERİLMELİ PLAĞIN ZORLANMIŞ TİTREŞİM PROBLEMİNİN SONLU ELEMAN MODELLENMESİ

open access: yesSüleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2009
Özet: Rijit yarı-düzlem üzerine oturmuş öngerilmeli şerit plağın zorlanmış titreşim probleminin üç boyutlu doğrusallaştırılmış elastodinamik teorisi çerçevesinde matematik formülasyonu verilmiştir.
Mustafa ERÖZ
doaj  

Postprocessing and Higher Order Convergence of Mixed Finite Element Approximations of Biharmonic Eigenvalue Problems ⋆

open access: yes, 2008
A new procedure for accelerating the convergence of mixed finite element approximations of the eigenpairs and of the biharmonic operator is proposed. It is based on a postprocessing technique that involves an additional solution of a source problem on an
A. B. Andreev   +2 more
core  

A LOCAL COMPUTATIONAL SCHEME FOR HIGHER ORDER FINITE ELEMENT EIGENVALUE APPROXIMATIONS ∗

open access: yes, 2008
. Based on some coupled discretizations, a local computational scheme is proposed and analyzed in this paper for a class of higher order finite element eigenvalue approximations. Its efficiency is proven by theoretical and numerical evidences.
Aihui Zhou, Lihua Shen, Xiaoying Dai
core  

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