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On a Semismooth* Newton Method for Solving Generalized Equations
In the paper, a Newton-type method for the solution of generalized equations and the multivalued part of the considered GE. The method is based on the new notion of semismoothness*, which, together with a suitable ...
Pure mathematics
- 2021 •
- Jimp •
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Jimp - Článek v periodiku v databázi Web of Science
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Application of a modified semismooth Newton method to some elasto-plastic problems
a general problem is formulated. The problem can be solved by Newton-like methods. First, the semismooth Newton method is analysed. The local superlinear convergenceis proved a modified semismooth
BA - Obecná matematika
- 2012 •
- Jx •
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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On the Solution of Contact Problems with Tresca Friction by the Semismooth* Newton Method
equation. To its numerical solution we apply the semismooth* Newton method by Gfrerer and Outrata (2019) in which, in contrast to most available Newton-type methods is then reduced to the contact boundary...
Applied mathematics
- 2022 •
- D •
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D - Stať ve sborníku
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On the Solution of Contact Problems with Tresca Friction by the Semismooth* Newton Method
equation. To its numerical solution we apply the semismooth* Newton method by Gfrerer and Outrata (2019) in which, in contrast to most available Newton-type methods is then reduced to the contact boundary...
Pure mathematics
- 2022 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
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On the SCD semismooth* Newton method for generalized equations with application to a class of static contact problems with Coulomb friction
In the paper, a variant of the semismooth* Newton method is developed for the numerical solution of generalized equations, in which the multi-valued part is a so-called SCD (subspace containing derivative) mapping. Under a ...
Pure mathematics
- 2023 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Inexact Newton Methods and Dennis-Moré Theorems for Nonsmooth Generalized Equations
semismooth quasi-Newton type methods and Dennis-Moré theorems for semismooth equations.In this paper we study local convergence of inexact Newton methods for solving the generalized equation in B...
BA - Obecná matematika
- 2015 •
- Jx •
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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NEWTON'S METHOD FOR SOLVING INCLUSIONS USING SET-VALUED APPROXIMATIONS
investigate several iterative schemes such as the inexact Newton's method, the nonsmooth Newton's method for semismooth functions, the inexact proximal point algorithm, etc, a globalization of the New...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Fictitious domain formulations of unilateral problems: analysis and algorithms
is solved by the semismooth Newton method. Numerical experiments confirm the efficiencyThe present article deals with fictitious domain methods for numerical realization of scalar variational inequalities with the...
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A TFETI domain decomposition solver for elastoplastic problems
monotone operator. The semismooth Newton method is applied to solve this nonlinear Tearing and Interconnecting) domain decomposition method. We consider an associated law. Such a model is discretized by the implic...
BA - Obecná matematika
- 2014 •
- Jx •
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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On the Application of the SCD Semismooth* Newton Method to Variational Inequalities of the Second Kind
The paper starts with a description of SCD (subspace containing derivative) mappings and the SCD Newton method for the solution of general inclusions. This method the SCD Newton method with selected splitt...
Pure mathematics
- 2022 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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