On the rate of convergence of solutions in free boundary problems via penalization

Shigeaki Koike; Takahiro Kosugi; Makoto Naito

doi:10.1016/j.jmaa.2017.07.074

On the rate of convergence of solutions in free boundary problems via penalization

Shigeaki Koike^*, Takahiro Kosugi, Makoto Naito

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

The rate of convergence of approximate solutions via penalization for free boundary problems are concerned. A key observation is to obtain global bounds of penalized terms which give necessary estimates on integrations by the nonlinear adjoint method by L.C. Evans.

Original language	English
Pages (from-to)	436-460
Number of pages	25
Journal	Journal of Mathematical Analysis and Applications
Volume	457
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2017.07.074
Publication status	Published - 2018 Jan 1
Externally published	Yes

Keywords

Gradient constraint
Obstacle problem
Penalization
Rate of convergence
Weakly coupled system

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2017.07.074

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title = "On the rate of convergence of solutions in free boundary problems via penalization",

abstract = "The rate of convergence of approximate solutions via penalization for free boundary problems are concerned. A key observation is to obtain global bounds of penalized terms which give necessary estimates on integrations by the nonlinear adjoint method by L.C. Evans.",

keywords = "Gradient constraint, Obstacle problem, Penalization, Rate of convergence, Weakly coupled system",

author = "Shigeaki Koike and Takahiro Kosugi and Makoto Naito",

note = "Funding Information: Supported by Grant-in-Aid for JSPS Research Fellow 16J01494. Publisher Copyright: {\textcopyright} 2017 Elsevier Inc.",

year = "2018",

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doi = "10.1016/j.jmaa.2017.07.074",

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AU - Koike, Shigeaki

AU - Kosugi, Takahiro

AU - Naito, Makoto

PY - 2018/1/1

Y1 - 2018/1/1

N2 - The rate of convergence of approximate solutions via penalization for free boundary problems are concerned. A key observation is to obtain global bounds of penalized terms which give necessary estimates on integrations by the nonlinear adjoint method by L.C. Evans.

AB - The rate of convergence of approximate solutions via penalization for free boundary problems are concerned. A key observation is to obtain global bounds of penalized terms which give necessary estimates on integrations by the nonlinear adjoint method by L.C. Evans.

KW - Gradient constraint

KW - Obstacle problem

KW - Penalization

KW - Rate of convergence

KW - Weakly coupled system

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VL - 457

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EP - 460

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

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On the rate of convergence of solutions in free boundary problems via penalization

Abstract

Keywords

ASJC Scopus subject areas

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