[图书][B] A posteriori estimates for partial differential equations

S Repin - 2008 - degruyter.com
Bibliography Page 1 Bibliography [1] Y. Achdou, C. Bernardi, and F. Coquel, A priori and a
posteriori analysis of finite volume dis- cretizations of Darcy’s equations, Numer. Math. 96 (2003) …

An a posteriori error estimator for a quadratic C0-interior penalty method for the biharmonic problem

SC Brenner, T Gudi, L Sung - IMA Journal of Numerical Analysis, 2010 - academic.oup.com
An a posteriori error estimator for a quadratic C0-interior penalty method for the biharmonic
problem Page 1 IMA Journal of Numerical Analysis (2010) 30, 777–798 doi:10.1093/imanum/drn057 …

[图书][B] Accuracy verification methods: Theory and algorithms

O Mali, P Neittaanmäki, S Repin - 2013 - books.google.com
The importance of accuracy verification methods was understood at the very beginning of
the development of numerical analysis. Recent decades have seen a rapid growth of results …

A posteriori error estimates for the Morley plate bending element

LB da Veiga, J Niiranen, R Stenberg - Numerische Mathematik, 2007 - Springer
Numerische Mathematik Page 1 Numer. Math. (2007) 106:165–179 DOI 10.1007/s00211-007-0066-1
Numerische Mathematik A posteriori error estimates for the Morley plate bending element L …

A family of C0 finite elements for Kirchhoff plates II: Numerical results

LB da Veiga, J Niiranen, R Stenberg - Computer methods in applied …, 2008 - Elsevier
A new family of C0 Kirchhoff plate elements has been introduced by the authors in the
theoretical counterpart of the present paper; A family of C0finite elements for Kirchhoff plates …

Spectral mixed Galerkin method for state constrained optimal control problem governed by the first bi-harmonic equation

J Zhou, D Yang - International Journal of Computer Mathematics, 2011 - Taylor & Francis
An optimal control problem governed by the first bi-harmonic equation with the integral
constraint for the state and its spectral approximations based on a mixed formulation are …

A posteriori error analysis for the Morley plate element with general boundary conditions

L Beirão da Veiga, J Niiranen… - International journal for …, 2010 - Wiley Online Library
This paper introduces and analyses a local, residual‐based a posteriori error indicator for
the Morley finite element method of the biharmonic Kirchhoff plate bending problem. In the …

A posteriori estimates for conforming Kirchhoff plate elements

T Gustafsson, R Stenberg, J Videman - SIAM Journal on Scientific Computing, 2018 - SIAM
We derive a residual a posteriori estimator for the Kirchhoff plate bending problem. We
consider the problem with a combination of clamped, simply supported, and free boundary …

[HTML][HTML] Ciarlet–Raviart mixed finite element approximation for an optimal control problem governed by the first bi-harmonic equation

W Cao, D Yang - Journal of computational and applied mathematics, 2009 - Elsevier
The Ciarlet–Raviart mixed finite element approximation is constructed to solve the
constrained optimal control problem governed by the first bi-harmonic equation. The …

Residual‐based a posteriori error estimator for the mixed finite element approximation of the biharmonic equation

T Gudi - Numerical Methods for Partial Differential Equations, 2011 - Wiley Online Library
A reliable and efficient residual‐based a posteriori error estimator is derived for the Ciarlet‐
Raviart mixed finite element method for the biharmonic equation on polygonal domains. The …