A Posteriori Error Control for Fourth-Order Semilinear Problems with Quadratic Nonlinearity-Reference-Cited by-同舟云学术

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A Posteriori Error Control for Fourth-Order Semilinear Problems with Quadratic Nonlinearity

Published:2024-04-03 Issue:2 Volume:62 Page:919-945
ISSN:0036-1429
Container-title:SIAM Journal on Numerical Analysis
language:en
Short-container-title:SIAM J. Numer. Anal.

Author:

Carstensen Carsten¹,Gräßle Benedikt²,Nataraj Neela³

Affiliation:

1. Department of Mathematics, Humboldt-Universität zu Berlin, 10099 Berlin, Germany, and Distinguished Visiting Professor, Department of Mathematics, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India.

2. Department of Mathematics, Humboldt-Universität zu Berlin, 10099 Berlin, Germany.

3. Department of Mathematics, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India.

Funder

Berlin Mathematical School

SPARC

Science and Engineering Research Board

Deutsche Forschungsgemeinschaft

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Reference28 articles.

1. A $$C^0$$ C 0 interior penalty method for a von Kármán plate

2. C 0 Interior Penalty Methods for Fourth Order Elliptic Boundary Value Problems on Polygonal Domains

3. Guaranteed lower eigenvalue bounds for the biharmonic equation

4. A discrete Helmholtz decomposition with Morley finite element functions and the optimality of adaptive finite element schemes

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