Biharmonic Obstacle Problem: Guaranteed and Computable Error Bounds for Approximate Solutions

被引：0

作者：

D. E. Apushkinskaya

S. I. Repin

机构：

[1] Saarland University,

[2] Peoples’Friendship University of Russia (RUDN University),undefined

[3] Steklov Institute of Mathematics at St. Petersburg,undefined

[4] University of Jyväskylä,undefined

来源：

Computational Mathematics and Mathematical Physics | 2020年 / 60卷

关键词：

variational inequalities; estimates of the distance to the exact solution; aposteriori estimates;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

引用

页码：1823 / 1838

页数：15

共 34 条

[1]

Lions J.-L.(1967)Variational inequalities Commun. Pure Appl. Math. 20 493-519

[2]

Stampacchia G.(1979)The obstacle problem for the biharmonic operator Ann. Scuola Norm. Sup. Pisa Cl. Sci. 6 151-184

[3]

Caffarelli L. A.(1973)On the regularity of the solution of the biharmonic variational inequality Manuscr. Math. 9 91-103

[4]

Friedman A.(1971)Zum Differenzierbarkeitsproblem bei Variationsungleichungen höherer Ordnung Abh. Math. Sem. Univ. Hamburg 36 140-149

[5]

Frehse J.(1973)The constrained elastic beam Meccanica 8 119-124

[6]

Frehse J.(1977)Remarks on some fourth order variational inequalities Ann. Scuola Norm. Sup. Pisa Cl. Sci. 4 363-371

[7]

Cimatti G.(1982)The two-obstacle problem for the biharmonic operator Pac. J. Math. 103 325-335

[8]

Brézis H.(2019)Regularity of the free boundary in the biharmonic obstacle problem Calc. Var. Partial Differ. Equations 58 206-3350

[9]

Stampacchia G.(2012)A quadratic SIAM J. Numer. Anal. 50 3329-167

[10]

Caffarelli L. A.(1984) interior penalty method for the displacement obstacle problem of clamped Kirchhoff plates IMA J. Numer. Anal. 4 127-485