Apushkinskaya, Darya; Repin, Sergey Functional a posteriori error estimates for the parabolic obstacle problem. (English) Zbl 1487.35455 Comput. Methods Appl. Math. 22, No. 2, 259-276 (2022). MSC: 35R35 35K20 35K85 PDF BibTeX XML Cite \textit{D. Apushkinskaya} and \textit{S. Repin}, Comput. Methods Appl. Math. 22, No. 2, 259--276 (2022; Zbl 1487.35455) Full Text: DOI arXiv OpenURL
Apushkinskaya, D. E.; Repin, S. I. Biharmonic obstacle problem: guaranteed and computable error bounds for approximate solutions. (English. Russian original) Zbl 1454.35182 Comput. Math. Math. Phys. 60, No. 11, 1823-1838 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 11, 1881-1897 (2020). MSC: 35J86 31B30 PDF BibTeX XML Cite \textit{D. E. Apushkinskaya} and \textit{S. I. Repin}, Comput. Math. Math. Phys. 60, No. 11, 1823--1838 (2020; Zbl 1454.35182); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 11, 1881--1897 (2020) Full Text: DOI arXiv OpenURL
Wolfmayr, Monika A note on functional a posteriori estimates for elliptic optimal control problems. (English) Zbl 1362.65068 Numer. Methods Partial Differ. Equations 33, No. 2, 403-424 (2017). Reviewer: Hans Benker (Merseburg) MSC: 65K10 49J20 49M25 PDF BibTeX XML Cite \textit{M. Wolfmayr}, Numer. Methods Partial Differ. Equations 33, No. 2, 403--424 (2017; Zbl 1362.65068) Full Text: DOI arXiv OpenURL
Harasim, Petr; Valdman, Jan Verification of functional a posteriori error estimates for obstacle problem in 2D. (English) Zbl 1312.49035 Kybernetika 50, No. 6, 978-1002 (2014). MSC: 49M25 49J40 65K15 65L60 74M15 74S05 74K05 PDF BibTeX XML Cite \textit{P. Harasim} and \textit{J. Valdman}, Kybernetika 50, No. 6, 978--1002 (2014; Zbl 1312.49035) Full Text: arXiv Link OpenURL
Harasim, Petr; Valdman, Jan Verification of functional a posteriori error estimates for obstacle problem in \(1D\). (English) Zbl 1278.49035 Kybernetika 49, No. 5, 738-754 (2013). MSC: 49M25 49J40 65K15 65L60 34B15 74K05 74M15 74S05 PDF BibTeX XML Cite \textit{P. Harasim} and \textit{J. Valdman}, Kybernetika 49, No. 5, 738--754 (2013; Zbl 1278.49035) Full Text: arXiv Link OpenURL
Fuchs, M.; Repin, S. Estimates of the deviations from the exact solutions for variational inequalities describing the stationary flow of certain viscous incompressible fluids. (English) Zbl 1357.76062 Math. Methods Appl. Sci. 33, No. 9, 1136-1147 (2010). MSC: 76M25 76D03 35Q35 65K15 76A05 49J40 PDF BibTeX XML Cite \textit{M. Fuchs} and \textit{S. Repin}, Math. Methods Appl. Sci. 33, No. 9, 1136--1147 (2010; Zbl 1357.76062) Full Text: DOI OpenURL
Repin, S. Estimates of deviations from exact solutions of initial boundary value problems for the wave equation. (English. Russian original) Zbl 1206.35160 J. Math. Sci., New York 159, No. 2, 229-240 (2009); translation from Probl. Mat. Anal. 41, 93-106 (2009). MSC: 35L20 35B45 PDF BibTeX XML Cite \textit{S. Repin}, J. Math. Sci., New York 159, No. 2, 229--240 (2009; Zbl 1206.35160); translation from Probl. Mat. Anal. 41, 93--106 (2009) Full Text: DOI OpenURL
Repin, S. Estimates for deviations from exact solutions of some boundary-value problems with incompressibility condition. (English. Russian original) Zbl 1174.35461 St. Petersbg. Math. J. 16, No. 5, 837-862 (2005); translation from Algebra Anal. 16, No. 5, 124-161 (2004). Reviewer: Oleg Dementiev (Chelyabinsk) MSC: 35Q30 65N15 35A35 PDF BibTeX XML Cite \textit{S. Repin}, St. Petersbg. Math. J. 16, No. 5, 837--862 (2005; Zbl 1174.35461); translation from Algebra Anal. 16, No. 5, 124--161 (2004) Full Text: DOI OpenURL