Validated constructive error estimations for biharmonic problems

Takehiko Kinoshita, Yoshitaka Watanabe, Mitsuhiro T. Nakao

    Research output: Contribution to journalArticlepeer-review

    Abstract

    This paper presents some constructive error estimates for two-dimensional biharmonic equations by using verified computational techniques. These estimations are expected to provide valuable information for computer-assisted proofs of nonlinear biharmonic problems. Several numerical examples that confirm the effectiveness are reported.

    Original languageEnglish
    Pages (from-to)168-177
    Number of pages10
    JournalReliable Computing
    Volume25
    Publication statusPublished - 2017

    All Science Journal Classification (ASJC) codes

    • Software
    • Computational Mathematics
    • Applied Mathematics

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