Area of contraction of Newton's method applied to a penalty technique for obstacle problems

DOI10.21136/AM.1993.104565zbMath0797.65050OpenAlexW2690183279MaRDI QIDQ1321611

Christian Grossmann, Klaus Böhmer

Publication date: 9 October 1994

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/15763

zbMATH Keywords

Newton methodobstacle probleminequality constraintspenalty methodlinear finite elementsabstract variational problemarea of contraction

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational inequalities (49J40)

Cites Work

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• On the solution of discretized obstacle problems by an adapted penalty method
• Solution of variational inequalities in mechanics
• Application of the Mesh Independence Principle to Mesh Refinement Strategies
• Mixed and Hybrid Finite Element Methods
• Asymptotic Mesh Independence of Newton–Galerkin Methods via a Refined Mysovskii Theorem

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