Zobrazeno 1 - 10
of 160
pro vyhledávání: '"Susanne C Brenner"'
Publikováno v:
Results in Applied Mathematics, Vol 17, Iss , Pp 100356- (2023)
We design multigrid methods for an elliptic distributed optimal control problem with pointwise state constraints. They are based on the P1 finite element method from Brenner et al. (2021), where the optimal control problem was reformulated as a varia
Externí odkaz:
https://doaj.org/article/8b41da457b0148819352c340525d6f3d
Publikováno v:
Results in Applied Mathematics, Vol 7, Iss , Pp 100119- (2020)
We design and analyze a cubic C0interior penalty method for linear–quadratic elliptic distributed optimal control problems with pointwise state and control constraints. Numerical results that corroborate the theoretical error estimates are also pre
Externí odkaz:
https://doaj.org/article/9593d51ade8846929378f2cda56ed147
Autor:
Susanne C. Brenner, Li-Yeng Sung
Publikováno v:
Computational Methods in Applied Mathematics. 23:49-63
We establish an interior maximum norm error estimate for the symmetric interior penalty method on planar polygonal domains.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::40bae2522562659a85539768523ec8b2
https://doi.org/10.1515/cmam-2022-0127
https://doi.org/10.1515/cmam-2022-0127
Publikováno v:
Oberwolfach Reports. 18:1651-1674
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6e162d5ae2bb346d7a2e2e8cb65b4891
https://doi.org/10.4171/owr/2021/31
https://doi.org/10.4171/owr/2021/31
Publikováno v:
Computational Methods in Applied Mathematics.
We construct a symmetric interior penalty method for an elliptic distributed optimal control problem with pointwise state constraints on general polygonal domains. The resulting discrete problems are quadratic programs with simple box constraints tha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1da59690513a0f284c7df4bc0c7acb9a
https://doi.org/10.1515/cmam-2022-0148
https://doi.org/10.1515/cmam-2022-0148
Publikováno v:
Mathematical Models and Methods in Applied Sciences. 31:2887-2906
We design and analyze a [Formula: see text] virtual element method for an elliptic distributed optimal control problem with pointwise state constraints. Theoretical estimates and corroborating numerical results are presented.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e3cd7559d3df7a16c2466d18a5089240
https://doi.org/10.1142/s0218202521500640
https://doi.org/10.1142/s0218202521500640
Publikováno v:
Numerical Methods for Partial Differential Equations. 38:102-117
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c42dd10e39e771a04f98f2bcd4473bce
https://doi.org/10.1002/num.22834
https://doi.org/10.1002/num.22834
Publikováno v:
Numerische Mathematik. 148:497-524
We design and analyze a $$C^0$$ C 0 interior penalty method for the approximation of classical solutions of the Dirichlet boundary value problem of the Monge–Ampère equation on convex polygonal domains. The method is based on an enhanced cubic Lag
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ee56fdd5fcb556a147e258851353f0d2
https://doi.org/10.1007/s00211-021-01210-x
https://doi.org/10.1007/s00211-021-01210-x
Publikováno v:
Computational Methods in Applied Mathematics. 21:777-790
We investigate a P 1 P_{1} finite element method for an elliptic distributed optimal control problem with pointwise state constraints and a state equation that includes advective/convective and reactive terms. The convergence of this method can be es
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::405cd01946ded1cb41f117a7b02339b2
https://doi.org/10.1515/cmam-2021-0106
https://doi.org/10.1515/cmam-2021-0106
Publikováno v:
ETNA - Electronic Transactions on Numerical Analysis. 54:234-255
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c2458d9337a507c234b419846752c274
https://doi.org/10.1553/etna_vol54s234
https://doi.org/10.1553/etna_vol54s234