Gerber-Roth, Anthony; Munnier, Alexandre; Ramdani, Karim A reconstruction method for the inverse gravimetric problem. (English) Zbl 1527.31005 SMAI J. Comput. Math. 9, 197-225 (2023). MSC: 31A25 86A22 35R30 PDFBibTeX XMLCite \textit{A. Gerber-Roth} et al., SMAI J. Comput. Math. 9, 197--225 (2023; Zbl 1527.31005) Full Text: DOI
Yang, Dandan; Ma, Pei; Wang, Xiaohuan; Li, Hongyi Nondegeneracy of the bubble solutions for critical equations involving the polyharmonic operator. (English) Zbl 1518.35288 Bound. Value Probl. 2023, Paper No. 20, 7 p. (2023). MSC: 35J30 31B30 35J61 35B33 PDFBibTeX XMLCite \textit{D. Yang} et al., Bound. Value Probl. 2023, Paper No. 20, 7 p. (2023; Zbl 1518.35288) Full Text: DOI
Butzer, P. L.; Stens, R. L. Boundary value problems of potential theory for the exterior ball and the approximation and ergodic behaviour of the solutions. (English) Zbl 1523.35144 J. Approx. Theory 292, Article ID 105916, 12 p. (2023). Reviewer: David Kapanadze (Tbilisi) MSC: 35J25 47D03 47A35 31B05 PDFBibTeX XMLCite \textit{P. L. Butzer} and \textit{R. L. Stens}, J. Approx. Theory 292, Article ID 105916, 12 p. (2023; Zbl 1523.35144) Full Text: DOI arXiv
Zhao, Jikun; Mao, Shipeng; Zhang, Bei; Wang, Fei The interior penalty virtual element method for the biharmonic problem. (English) Zbl 1511.65132 Math. Comput. 92, No. 342, 1543-1574 (2023). MSC: 65N30 65F35 65N85 65N12 31A30 PDFBibTeX XMLCite \textit{J. Zhao} et al., Math. Comput. 92, No. 342, 1543--1574 (2023; Zbl 1511.65132) Full Text: DOI
Ye, Xiu; Zhang, Shangyou A weak divergence CDG method for the biharmonic equation on triangular and tetrahedral meshes. (English) Zbl 1493.65237 Appl. Numer. Math. 178, 155-165 (2022). MSC: 65N30 65N50 65N15 35J05 31A30 PDFBibTeX XMLCite \textit{X. Ye} and \textit{S. Zhang}, Appl. Numer. Math. 178, 155--165 (2022; Zbl 1493.65237) Full Text: DOI
Carron, Gilles; Tewodrose, David A rigidity result for metric measure spaces with Euclidean heat kernel. (Un résultat de rigidité pour les espaces métriques mesurés à noyau de la chaleur Euclidien.) (English. French summary) Zbl 1481.35246 J. Éc. Polytech., Math. 9, 101-154 (2022). MSC: 35K08 31C25 53C21 53C23 PDFBibTeX XMLCite \textit{G. Carron} and \textit{D. Tewodrose}, J. Éc. Polytech., Math. 9, 101--154 (2022; Zbl 1481.35246) Full Text: DOI arXiv
Hamida, S.; Benrabah, A. Regularized solution of an ill-posed biharmonic equation. (English) Zbl 07424507 Rend. Circ. Mat. Palermo (2) 70, No. 3, 1709-1731 (2021). MSC: 47A52 65J20 31A30 74K20 31A25 PDFBibTeX XMLCite \textit{S. Hamida} and \textit{A. Benrabah}, Rend. Circ. Mat. Palermo (2) 70, No. 3, 1709--1731 (2021; Zbl 07424507) Full Text: DOI
Henríquez, Fernando; Schwab, Christoph Shape holomorphy of the Calderón projector for the Laplacian in \(\mathbb{R}^2\). (English) Zbl 1472.45011 Integral Equations Oper. Theory 93, No. 4, Paper No. 43, 40 p. (2021). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 45P05 31A10 35B30 32D05 35A20 65N38 PDFBibTeX XMLCite \textit{F. Henríquez} and \textit{C. Schwab}, Integral Equations Oper. Theory 93, No. 4, Paper No. 43, 40 p. (2021; Zbl 1472.45011) Full Text: DOI
Xie, Yaning; Ying, Wenjun; Wang, Wei-Cheng A high-order kernel-free boundary integral method for the biharmonic equation on irregular domains. (English) Zbl 1428.65103 J. Sci. Comput. 80, No. 3, 1681-1699 (2019). MSC: 65N38 31A30 65N06 65T50 PDFBibTeX XMLCite \textit{Y. Xie} et al., J. Sci. Comput. 80, No. 3, 1681--1699 (2019; Zbl 1428.65103) Full Text: DOI
Moore, Stephen Edward Discontinuous Galerkin isogeometric analysis for the biharmonic equation. (English) Zbl 1428.65092 Comput. Math. Appl. 76, No. 4, 673-685 (2018). MSC: 65N30 65N15 65D07 35J40 31A30 PDFBibTeX XMLCite \textit{S. E. Moore}, Comput. Math. Appl. 76, No. 4, 673--685 (2018; Zbl 1428.65092) Full Text: DOI arXiv
Vučković, Đorđe; Vindas, Jasson Ultradistributional boundary values of harmonic functions on the sphere. (English) Zbl 1375.31009 J. Math. Anal. Appl. 457, No. 1, 533-550 (2018). MSC: 31B20 PDFBibTeX XMLCite \textit{Đ. Vučković} and \textit{J. Vindas}, J. Math. Anal. Appl. 457, No. 1, 533--550 (2018; Zbl 1375.31009) Full Text: DOI arXiv Link
Li, Zheng; Zhang, Shuo A stable mixed element method for the biharmonic equation with first-order function spaces. (English) Zbl 1437.35394 Comput. Methods Appl. Math. 17, No. 4, 601-616 (2017). MSC: 35J91 31A30 35J35 65N30 PDFBibTeX XMLCite \textit{Z. Li} and \textit{S. Zhang}, Comput. Methods Appl. Math. 17, No. 4, 601--616 (2017; Zbl 1437.35394) Full Text: DOI
Daripa, Prabir; Ghosh, Aditi The FFTRR-based fast direct algorithms for complex inhomogeneous biharmonic problems with applications to incompressible flows. (English) Zbl 1377.65035 Numer. Algorithms 75, No. 4, 937-971 (2017). Reviewer: T. C. Mohan (Chennai) MSC: 65E05 31A30 76D07 PDFBibTeX XMLCite \textit{P. Daripa} and \textit{A. Ghosh}, Numer. Algorithms 75, No. 4, 937--971 (2017; Zbl 1377.65035) Full Text: DOI
Totik, Vilmos A subharmonicity property of harmonic measures. (English) Zbl 1337.31008 Proc. Am. Math. Soc. 144, No. 5, 2073-2079 (2016). Reviewer: Marius Ghergu (Dublin) MSC: 31A15 31B15 PDFBibTeX XMLCite \textit{V. Totik}, Proc. Am. Math. Soc. 144, No. 5, 2073--2079 (2016; Zbl 1337.31008) Full Text: DOI Link
Oliveira, C. P. Generalized disk polynomial via Laplace integral representation. (English) Zbl 1306.31004 Integral Transforms Spec. Funct. 26, No. 1, 20-35 (2015). MSC: 31B05 33C55 44A10 PDFBibTeX XMLCite \textit{C. P. Oliveira}, Integral Transforms Spec. Funct. 26, No. 1, 20--35 (2015; Zbl 1306.31004) Full Text: DOI
Süli, Endre; Mozolevski, Igor \(hp\)-version interior penalty DGFEMs for the biharmonic equation. (English) Zbl 1173.65360 Comput. Methods Appl. Mech. Eng. 196, No. 13-16, 1851-1863 (2007). MSC: 65N30 31A30 PDFBibTeX XMLCite \textit{E. Süli} and \textit{I. Mozolevski}, Comput. Methods Appl. Mech. Eng. 196, No. 13--16, 1851--1863 (2007; Zbl 1173.65360) Full Text: DOI
Wang, Tongke A mixed finite volume element method based on rectangular mesh for biharmonic equations. (English) Zbl 1057.65088 J. Comput. Appl. Math. 172, No. 1, 117-130 (2004). Reviewer: Gerald W. Hedstrom (Pleasanton) MSC: 65N30 35J40 31A30 65N15 65N50 PDFBibTeX XMLCite \textit{T. Wang}, J. Comput. Appl. Math. 172, No. 1, 117--130 (2004; Zbl 1057.65088) Full Text: DOI