Petrov, A. G. Algorithm for construction of quadrature formulas with exponential convergence for linear operators acting on periodic functions. (English. Russian original) Zbl 07352190 Russ. Math. 65, No. 2, 75-80 (2021); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 2, 86-92 (2021). Reviewer: Reviewer (Berlin) MSC: 65 65D PDF BibTeX XML Cite \textit{A. G. Petrov}, Russ. Math. 65, No. 2, 75--80 (2021; Zbl 07352190); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 2, 86--92 (2021) Full Text: DOI
Azevedo, A.; Rodrigues, J. F.; Santos, L. Lagrange multipliers for evolution problems with constraints on the derivatives. (English) Zbl 07351206 St. Petersbg. Math. J. 32, No. 3, 435-448 (2021) and Algebra Anal. 32, No. 3, 65-83 (2020). Reviewer: Reviewer (Berlin) MSC: 49J40 49S05 PDF BibTeX XML Cite \textit{A. Azevedo} et al., St. Petersbg. Math. J. 32, No. 3, 435--448 (2021; Zbl 07351206) Full Text: DOI
Luyen, Duong Trong Infinitely many solutions for a fourth-order semilinear elliptic equations perturbed from symmetry. (English) Zbl 07339992 Bull. Malays. Math. Sci. Soc. (2) 44, No. 3, 1701-1725 (2021). Reviewer: Reviewer (Berlin) MSC: 35J40 31B30 35A01 PDF BibTeX XML Cite \textit{D. T. Luyen}, Bull. Malays. Math. Sci. Soc. (2) 44, No. 3, 1701--1725 (2021; Zbl 07339992) Full Text: DOI
Tran Nhat Luan; Tran Thi Khieu; Tra Quoc Khanh A filter method with a priori and a posteriori parameter choice for the regularization of Cauchy problems for biharmonic equations. (English) Zbl 1460.31023 Numer. Algorithms 86, No. 4, 1721-1746 (2021). Reviewer: Reviewer (Berlin) MSC: 31B30 47A52 65F22 65J20 PDF BibTeX XML Cite \textit{Tran Nhat Luan} et al., Numer. Algorithms 86, No. 4, 1721--1746 (2021; Zbl 1460.31023) Full Text: DOI
He, Qihan; Lv, Zongyan Existence and nonexistence of nontrivial solutions for critical biharmonic equations. (English) Zbl 1459.35214 J. Math. Anal. Appl. 495, No. 1, Article ID 124713, 30 p. (2021). Reviewer: Reviewer (Berlin) MSC: 35J91 35J40 31B30 PDF BibTeX XML Cite \textit{Q. He} and \textit{Z. Lv}, J. Math. Anal. Appl. 495, No. 1, Article ID 124713, 30 p. (2021; Zbl 1459.35214) Full Text: DOI
Carstensen, Carsten; Mallik, Gouranga; Nataraj, Neela Nonconforming finite element discretization for semilinear problems with trilinear nonlinearity. (English) Zbl 1460.65145 IMA J. Numer. Anal. 41, No. 1, 164-205 (2021). Reviewer: Reviewer (Berlin) MSC: 65N30 65N15 65N12 31A30 35J61 65J08 PDF BibTeX XML Cite \textit{C. Carstensen} et al., IMA J. Numer. Anal. 41, No. 1, 164--205 (2021; Zbl 1460.65145) Full Text: DOI
Xu, Shipeng A posteriori error estimates for weak Galerkin methods for second order elliptic problems on polygonal meshes. (English) Zbl 1460.65150 Appl. Numer. Math. 161, 510-524 (2021). Reviewer: Reviewer (Berlin) MSC: 65N30 65N15 35J15 76D07 31A30 65N85 PDF BibTeX XML Cite \textit{S. Xu}, Appl. Numer. Math. 161, 510--524 (2021; Zbl 1460.65150) Full Text: DOI
Abdelhak, Hadj; Saker, Hacene Corrigendum to “Integral equations method for solving a biharmonic inverse problem in detection of Robin coefficients”. (English) Zbl 07310810 Appl. Numer. Math. 161, 147 (2021). Reviewer: Reviewer (Berlin) MSC: 35J 45E 65 65N 65R PDF BibTeX XML Cite \textit{H. Abdelhak} and \textit{H. Saker}, Appl. Numer. Math. 161, 147 (2021; Zbl 07310810) Full Text: DOI
Hadj, Abdelhak; Saker, Hacene Integral equations method for solving a biharmonic inverse problem in detection of Robin coefficients. (English) Zbl 1459.31002 Appl. Numer. Math. 160, 436-450 (2021); corrigendum ibid. 161, 147 (2021). Reviewer: Reviewer (Berlin) MSC: 31A30 35J40 35R30 PDF BibTeX XML Cite \textit{A. Hadj} and \textit{H. Saker}, Appl. Numer. Math. 160, 436--450 (2021; Zbl 1459.31002) Full Text: DOI
Abreu Blaya, R. A Riemann jump problem for biharmonic functions in fractal domains. (English) Zbl 1456.31003 Anal. Math. Phys. 11, No. 1, Paper No. 22, 13 p. (2021). Reviewer: Reviewer (Berlin) MSC: 31A30 31A25 PDF BibTeX XML Cite \textit{R. Abreu Blaya}, Anal. Math. Phys. 11, No. 1, Paper No. 22, 13 p. (2021; Zbl 1456.31003) Full Text: DOI
Chen, Shaolin Modulus of continuity and Heinz-Schwarz type inequalities of solutions to biharmonic equations. (Chinese. English summary) Zbl 07338390 Acta Math. Sin., Chin. Ser. 63, No. 5, 505-522 (2020). Reviewer: Reviewer (Berlin) MSC: 26A15 26D10 31A30 PDF BibTeX XML Cite \textit{S. Chen}, Acta Math. Sin., Chin. Ser. 63, No. 5, 505--522 (2020; Zbl 07338390)
Matevossian, Hovik A. Mixed biharmonic Dirichlet-Neumann problem in exterior domains. (English) Zbl 07334132 J. Sib. Fed. Univ., Math. Phys. 13, No. 6, 755-762 (2020). Reviewer: Reviewer (Berlin) MSC: 35J 35P 26D PDF BibTeX XML Cite \textit{H. A. Matevossian}, J. Sib. Fed. Univ., Math. Phys. 13, No. 6, 755--762 (2020; Zbl 07334132) Full Text: DOI MNR
Capistrano-Filho, Roberto de A.; Cavalcante, Márcio; Gallego, Fernando A. Lower regularity solutions of the biharmonic Schrödinger equation in a quarter plane. (English) Zbl 07307881 Pac. J. Math. 309, No. 1, 35-70 (2020). Reviewer: Xingbin Pan (Shanghai) MSC: 35Q55 35A01 35A02 35C15 35G15 35G30 PDF BibTeX XML Cite \textit{R. de A. Capistrano-Filho} et al., Pac. J. Math. 309, No. 1, 35--70 (2020; Zbl 07307881) Full Text: DOI
Kovalenko, Mikhail D.; Menshova, Irina V.; Kerzhaev, Alexander P.; Yu, Guangming A boundary value problem in the theory of elasticity for a rectangle: exact solutions. (English) Zbl 1455.74014 Z. Angew. Math. Phys. 71, No. 6, Paper No. 199, 20 p. (2020). Reviewer: Reviewer (Berlin) MSC: 74B05 74G05 74G10 74S70 PDF BibTeX XML Cite \textit{M. D. Kovalenko} et al., Z. Angew. Math. Phys. 71, No. 6, Paper No. 199, 20 p. (2020; Zbl 1455.74014) Full Text: DOI
Shen, Yue; Jin, Chang Decoupled mixed element methods for fourth order elliptic optimal control problems with control constraints. (English) Zbl 07296125 Numer. Math., Theory Methods Appl. 13, No. 2, 400-432 (2020). Reviewer: Reviewer (Berlin) MSC: 65N30 65N15 49J20 31A30 49M41 65K15 PDF BibTeX XML Cite \textit{Y. Shen} and \textit{C. Jin}, Numer. Math., Theory Methods Appl. 13, No. 2, 400--432 (2020; Zbl 07296125) Full Text: DOI
Du, Zhihua; Li, Yumei An \({L^p}\) inhomogeneous polyharmonic Neumann problem on Lipschitz domains in \({\mathbb{R}^n}\). (Chinese. English summary) Zbl 07294859 Acta Math. Sci., Ser. A, Chin. Ed. 40, No. 2, 271-287 (2020). Reviewer: Reviewer (Berlin) MSC: 31B10 31B30 35J40 PDF BibTeX XML Cite \textit{Z. Du} and \textit{Y. Li}, Acta Math. Sci., Ser. A, Chin. Ed. 40, No. 2, 271--287 (2020; Zbl 07294859)
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). Reviewer: Reviewer (Berlin) 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
Antonietti, Paola F.; Manzini, G.; Verani, Marco The conforming virtual element method for polyharmonic problems. (English) Zbl 1452.65320 Comput. Math. Appl. 79, No. 7, 2021-2034 (2020). Reviewer: Reviewer (Berlin) MSC: 65N30 65N12 31A30 35J05 PDF BibTeX XML Cite \textit{P. F. Antonietti} et al., Comput. Math. Appl. 79, No. 7, 2021--2034 (2020; Zbl 1452.65320) Full Text: DOI
Li, Weifeng; Dang, Pei; Du, Zhihua; Guo, Guoan; Li, Yumei \(L^p\) polyharmonic Robin problems on Lipschitz domains. (English) Zbl 1452.31015 Complex Var. Elliptic Equ. 65, No. 10, 1777-1791 (2020). Reviewer: Reviewer (Berlin) MSC: 31B30 31B10 35J30 35J40 PDF BibTeX XML Cite \textit{W. Li} et al., Complex Var. Elliptic Equ. 65, No. 10, 1777--1791 (2020; Zbl 1452.31015) Full Text: DOI
Karachik, V. V. Neumann type problems for the polyharmonic equation in ball. (English. Russian original) Zbl 1452.31013 J. Math. Sci., New York 249, No. 6, 974-988 (2020); translation from Probl. Mat. Anal. 103, 143-154 (2020). Reviewer: Reviewer (Berlin) MSC: 31B30 35J30 35J40 PDF BibTeX XML Cite \textit{V. V. Karachik}, J. Math. Sci., New York 249, No. 6, 974--988 (2020; Zbl 1452.31013); translation from Probl. Mat. Anal. 103, 143--154 (2020) Full Text: DOI
Meng, Jian; Mei, Liquan A mixed virtual element method for the vibration problem of clamped Kirchhoff plate. (English) Zbl 07247289 Adv. Comput. Math. 46, No. 5, Paper No. 68, 18 p. (2020). Reviewer: Reviewer (Berlin) MSC: 65N30 65N25 65N15 65N12 74K10 74H15 PDF BibTeX XML Cite \textit{J. Meng} and \textit{L. Mei}, Adv. Comput. Math. 46, No. 5, Paper No. 68, 18 p. (2020; Zbl 07247289) Full Text: DOI
Hu, Jun; Tian, Shudan; Zhang, Shangyou A family of 3D \(H^2\)-nonconforming tetrahedral finite elements for the biharmonic equation. (English) Zbl 1446.65171 Sci. China, Math. 63, No. 8, 1505-1522 (2020). Reviewer: Reviewer (Berlin) MSC: 65N30 65N15 31A30 PDF BibTeX XML Cite \textit{J. Hu} et al., Sci. China, Math. 63, No. 8, 1505--1522 (2020; Zbl 1446.65171) Full Text: DOI
Gutlyanskiĭ, V. Ya.; Nesmelova, O. V.; Ryazanov, V. I. The Dirichlet problem for the Poisson type equations in the plane. (English) Zbl 1449.30085 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2020, No. 5, 10-16 (2020). Reviewer: Reviewer (Berlin) MSC: 30E25 30C62 31A30 PDF BibTeX XML Cite \textit{V. Ya. Gutlyanskiĭ} et al., Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2020, No. 5, 10--16 (2020; Zbl 1449.30085) Full Text: DOI
Thach, Tran Ngoc; Tuan, Nguyen Huy; O’Regan, Donal Regularized solution for a biharmonic equation with discrete data. (English) Zbl 1439.65135 Evol. Equ. Control Theory 9, No. 2, 341-358 (2020). Reviewer: Reviewer (Berlin) MSC: 65N20 35J40 65N12 PDF BibTeX XML Cite \textit{T. N. Thach} et al., Evol. Equ. Control Theory 9, No. 2, 341--358 (2020; Zbl 1439.65135) Full Text: DOI
Karachik, V. V. The Green function of the Dirichlet problem for the triharmonic equation in the ball. (English. Russian original) Zbl 1442.35084 Math. Notes 107, No. 1, 105-120 (2020); translation from Mat. Zametki 107, No. 1, 87-105 (2020). Reviewer: Reviewer (Berlin) MSC: 35J08 35J40 31B30 PDF BibTeX XML Cite \textit{V. V. Karachik}, Math. Notes 107, No. 1, 105--120 (2020; Zbl 1442.35084); translation from Mat. Zametki 107, No. 1, 87--105 (2020) Full Text: DOI
Schnieders, Inka; Sweers, Guido A biharmonic converse to Krein-Rutman: a maximum principle near a positive eigenfunction. (English) Zbl 1441.35082 Positivity 24, No. 3, 677-710 (2020). Reviewer: Reviewer (Berlin) MSC: 35B50 35J40 47B65 PDF BibTeX XML Cite \textit{I. Schnieders} and \textit{G. Sweers}, Positivity 24, No. 3, 677--710 (2020; Zbl 1441.35082) Full Text: DOI
An, Jing; Li, Huiyuan; Zhang, Zhimin Spectral-Galerkin approximation and optimal error estimate for biharmonic eigenvalue problems in circular/spherical/elliptical domains. (English) Zbl 07202175 Numer. Algorithms 84, No. 2, 427-455 (2020). Reviewer: Reviewer (Berlin) MSC: 65N35 65N25 65N15 31A30 PDF BibTeX XML Cite \textit{J. An} et al., Numer. Algorithms 84, No. 2, 427--455 (2020; Zbl 07202175) Full Text: DOI
Li, Chong-Jun; Jia, Yan-Mei A superconvergent nonconforming quadrilateral spline element for biharmonic equation using the B-net method. (English) Zbl 1449.65318 Comput. Appl. Math. 39, No. 2, Paper No. 70, 31 p. (2020). Reviewer: Reviewer (Berlin) MSC: 65N30 65D07 65N12 65N15 PDF BibTeX XML Cite \textit{C.-J. Li} and \textit{Y.-M. Jia}, Comput. Appl. Math. 39, No. 2, Paper No. 70, 31 p. (2020; Zbl 1449.65318) Full Text: DOI
Li, Hao; Bi, Hai; Yang, Yidu The two-grid and multigrid discretizations of the \(C^0\)IPG method for biharmonic eigenvalue problem. (English) Zbl 1437.65173 Discrete Contin. Dyn. Syst., Ser. B 25, No. 5, 1775-1789 (2020). Reviewer: Reviewer (Berlin) MSC: 65N25 65N30 65N55 65N50 65F15 31A30 PDF BibTeX XML Cite \textit{H. Li} et al., Discrete Contin. Dyn. Syst., Ser. B 25, No. 5, 1775--1789 (2020; Zbl 1437.65173) Full Text: DOI
Miao, Di; Zou, Zhihui; Scott, Michael A.; Borden, Michael J.; Thomas, Derek C. Isogeometric Bézier dual mortaring: the enriched Bézier dual basis with application to second- and fourth-order problems. (English) Zbl 1436.65187 Comput. Methods Appl. Mech. Eng. 363, Article ID 112900, 40 p. (2020). Reviewer: Reviewer (Berlin) MSC: 65N30 65D07 65D17 PDF BibTeX XML Cite \textit{D. Miao} et al., Comput. Methods Appl. Mech. Eng. 363, Article ID 112900, 40 p. (2020; Zbl 1436.65187) Full Text: DOI
Bonanno, Gabriele; Chinnì, Antonia; O’Regan, Donal Existence of two non-zero weak solutions for a nonlinear Navier boundary value problem involving the \(p\)-biharmonic. (English) Zbl 1432.35099 Acta Appl. Math. 166, No. 1, 1-10 (2020). Reviewer: Reviewer (Berlin) MSC: 35J92 35A15 35D30 PDF BibTeX XML Cite \textit{G. Bonanno} et al., Acta Appl. Math. 166, No. 1, 1--10 (2020; Zbl 1432.35099) Full Text: DOI
Yousef, A.; Al-Naimi, R. On Toeplitz operators with biharmonic symbols. (English) Zbl 07179240 Bull. Malays. Math. Sci. Soc. (2) 43, No. 2, 1647-1659 (2020). Reviewer: Reviewer (Berlin) MSC: 47B35 PDF BibTeX XML Cite \textit{A. Yousef} and \textit{R. Al-Naimi}, Bull. Malays. Math. Sci. Soc. (2) 43, No. 2, 1647--1659 (2020; Zbl 07179240) Full Text: DOI
Luan, Tran Nhat; Khieu, Tran Thi; Khanh, Tra Quoc Regularized solution of the Cauchy problem for the biharmonic equation. (English) Zbl 1436.31021 Bull. Malays. Math. Sci. Soc. (2) 43, No. 1, 757-782 (2020). Reviewer: Reviewer (Berlin) MSC: 31B30 47A52 65F22 65J20 PDF BibTeX XML Cite \textit{T. N. Luan} et al., Bull. Malays. Math. Sci. Soc. (2) 43, No. 1, 757--782 (2020; Zbl 1436.31021) Full Text: DOI
Tuan, Nguyen Huy; Zhou, Yong; Thach, Tran Ngoc; Can, Nguyen Huu An approximate solution for a nonlinear biharmonic equation with discrete random data. (English) Zbl 1434.65233 J. Comput. Appl. Math. 371, Article ID 112711, 19 p. (2020). Reviewer: Reviewer (Berlin) MSC: 65N21 65N20 31A30 35R30 35R60 65N35 PDF BibTeX XML Cite \textit{N. H. Tuan} et al., J. Comput. Appl. Math. 371, Article ID 112711, 19 p. (2020; Zbl 1434.65233) Full Text: DOI
Wang, Fajie; Fan, Chia-Ming; Hua, Qingsong; Gu, Yan Localized MFS for the inverse Cauchy problems of two-dimensional Laplace and biharmonic equations. (English) Zbl 1433.65338 Appl. Math. Comput. 364, Article ID 124658, 14 p. (2020). Reviewer: Reviewer (Berlin) MSC: 65N80 35R30 35J05 PDF BibTeX XML Cite \textit{F. Wang} et al., Appl. Math. Comput. 364, Article ID 124658, 14 p. (2020; Zbl 1433.65338) Full Text: DOI
Guo, Yuxia; Liu, Ting Lazer-McKenna conjecture for higher order elliptic problem with critical growth. (English) Zbl 1433.35048 Discrete Contin. Dyn. Syst. 40, No. 2, 1159-1189 (2020). Reviewer: Reviewer (Berlin) MSC: 35J30 31B30 35B33 PDF BibTeX XML Cite \textit{Y. Guo} and \textit{T. Liu}, Discrete Contin. Dyn. Syst. 40, No. 2, 1159--1189 (2020; Zbl 1433.35048) Full Text: DOI
Benrabah, A.; Boussetila, N. Modified nonlocal boundary value problem method for an ill-posed problem for the biharmonic equation. (English) Zbl 07348509 Inverse Probl. Sci. Eng. 27, No. 3, 340-368 (2019). Reviewer: Reviewer (Berlin) MSC: 65N20 35B45 35J40 35R25 PDF BibTeX XML Cite \textit{A. Benrabah} and \textit{N. Boussetila}, Inverse Probl. Sci. Eng. 27, No. 3, 340--368 (2019; Zbl 07348509) Full Text: DOI
Turmetov, Batirkhan Khudaĭbergenovich Green function for analogue of Robin problem for polyharmonic equation. (Russian. English summary) Zbl 07281250 Ufim. Mat. Zh. 11, No. 3, 79-88 (2019); translation in Ufa Math. J. 11, No. 3, 78-87 (2019). Reviewer: Reviewer (Berlin) MSC: 35J40 31B30 PDF BibTeX XML Cite \textit{B. K. Turmetov}, Ufim. Mat. Zh. 11, No. 3, 79--88 (2019; Zbl 07281250); translation in Ufa Math. J. 11, No. 3, 78--87 (2019) Full Text: DOI MNR
Banz, Lothar; Petsche, Jan; Schröder, Andreas \(hp\)-FEM for a stabilized three-field formulation of the biharmonic problem. (English) Zbl 1442.65346 Comput. Math. Appl. 77, No. 9, 2463-2488 (2019). Reviewer: Reviewer (Berlin) MSC: 65N30 65N12 35J40 PDF BibTeX XML Cite \textit{L. Banz} et al., Comput. Math. Appl. 77, No. 9, 2463--2488 (2019; Zbl 1442.65346) Full Text: DOI
Sogn, Jarle; Takacs, Stefan Robust multigrid solvers for the biharmonic problem in isogeometric analysis. (English) Zbl 1442.65432 Comput. Math. Appl. 77, No. 1, 105-124 (2019). Reviewer: Reviewer (Berlin) MSC: 65N55 35J40 PDF BibTeX XML Cite \textit{J. Sogn} and \textit{S. Takacs}, Comput. Math. Appl. 77, No. 1, 105--124 (2019; Zbl 1442.65432) Full Text: DOI
Droniou, Jérôme; Ilyas, Muhammad; Lamichhane, Bishnu P.; Wheeler, Glen E. A mixed finite element method for a sixth-order elliptic problem. (English) Zbl 07208108 IMA J. Numer. Anal. 39, No. 1, 374-397 (2019). Reviewer: Reviewer (Berlin) MSC: 65N30 65N15 35G15 31A30 PDF BibTeX XML Cite \textit{J. Droniou} et al., IMA J. Numer. Anal. 39, No. 1, 374--397 (2019; Zbl 07208108) Full Text: DOI
Führer, Thomas; Heuer, Norbert Fully discrete DPG methods for the Kirchhoff-Love plate bending model. (English) Zbl 1440.74198 Comput. Methods Appl. Mech. Eng. 343, 550-571 (2019). Reviewer: Reviewer (Berlin) MSC: 74K20 35J57 35Q74 65N30 74S05 PDF BibTeX XML Cite \textit{T. Führer} and \textit{N. Heuer}, Comput. Methods Appl. Mech. Eng. 343, 550--571 (2019; Zbl 1440.74198) Full Text: DOI
Rajashekar, Naraveni; Chaudhary, Sudhakar; Srinivas Kumar, V. V. K. Approximation of \(p\)-biharmonic problem using WEB-spline based mesh-free method. (English) Zbl 07168323 Int. J. Nonlinear Sci. Numer. Simul. 20, No. 6, 703-712 (2019). Reviewer: Reviewer (Berlin) MSC: 65N12 65N22 65N30 41A15 35Q90 PDF BibTeX XML Cite \textit{N. Rajashekar} et al., Int. J. Nonlinear Sci. Numer. Simul. 20, No. 6, 703--712 (2019; Zbl 07168323) Full Text: DOI
Nam, Danh Hua Quoc; van Au, Vo; Tuan, Nguyen Huy; O’Regan, Donal Regularization of a final value problem for a nonlinear biharmonic equation. (English) Zbl 1434.65165 Math. Methods Appl. Sci. 42, No. 18, 6672-6685 (2019). Reviewer: Reviewer (Berlin) MSC: 65M32 47J06 47H10 65M30 31B30 35R30 65J20 PDF BibTeX XML Cite \textit{D. H. Q. Nam} et al., Math. Methods Appl. Sci. 42, No. 18, 6672--6685 (2019; Zbl 1434.65165) Full Text: DOI
Ben-Artzi, Matania; Croisille, Jean-Pierre; Fishelov, Dalia A Cartesian compact scheme for the Navier-Stokes equations in streamfunction formulation in irregular domains. (English) Zbl 1434.65107 J. Sci. Comput. 81, No. 3, 1386-1408 (2019). Reviewer: Reviewer (Berlin) MSC: 65M06 76M20 76D05 31A30 65D05 41A05 PDF BibTeX XML Cite \textit{M. Ben-Artzi} et al., J. Sci. Comput. 81, No. 3, 1386--1408 (2019; Zbl 1434.65107) Full Text: DOI
Banz, Lothar; Petsche, Jan; Schröder, Andreas Two stabilized three-field formulations for the biharmonic problem. (English) Zbl 1433.65275 Apel, Thomas (ed.) et al., Advanced finite element methods with applications. Selected papers from the 30th Chemnitz finite element symposium, St. Wolfgang/Strobl, Austria, September 25–27, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 128, 41-55 (2019). Reviewer: Reviewer (Berlin) MSC: 65N30 65N12 65N15 65N50 35J30 31A30 35B45 PDF BibTeX XML Cite \textit{L. Banz} et al., Lect. Notes Comput. Sci. Eng. 128, 41--55 (2019; Zbl 1433.65275) Full Text: DOI
Leadi, Liamidi A.; Toyou, Robert L. Principal eigenvalue for cooperative \((p,q)\)-biharmonic systems. (English) Zbl 1449.35334 J. Partial Differ. Equations 32, No. 1, 33-51 (2019). Reviewer: Reviewer (Berlin) MSC: 35P30 35J58 35J50 35J92 PDF BibTeX XML Cite \textit{L. A. Leadi} and \textit{R. L. Toyou}, J. Partial Differ. Equations 32, No. 1, 33--51 (2019; Zbl 1449.35334) Full Text: DOI
Li, Ruo; Ming, Pingbing; Sun, Zhiyuan; Yang, Fanyi; Yang, Zhijian A discontinuous Galerkin method by patch reconstruction for biharmonic problem. (English) Zbl 1449.65321 J. Comput. Math. 37, No. 4, 524-540 (2019). Reviewer: Reviewer (Berlin) MSC: 65N30 65N15 31A30 65K10 PDF BibTeX XML Cite \textit{R. Li} et al., J. Comput. Math. 37, No. 4, 524--540 (2019; Zbl 1449.65321) Full Text: DOI
Sharaf, Khadijah On a critical fourth order PDE with Navier boundary condition. (English) Zbl 1433.35140 Acta Math. Sin., Engl. Ser. 35, No. 12, 1906-1916 (2019). Reviewer: Reviewer (Berlin) MSC: 35J91 31B30 35J40 35B09 PDF BibTeX XML Cite \textit{K. Sharaf}, Acta Math. Sin., Engl. Ser. 35, No. 12, 1906--1916 (2019; Zbl 1433.35140) Full Text: DOI
Matevosyan, Hovik A. Biharmonic Dirichlet-Farwig problem in exterior domains. (Russian. English summary) Zbl 1427.35031 Sib. Èlektron. Mat. Izv. 16, 1716-1731 (2019). Reviewer: Reviewer (Berlin) MSC: 35J35 35J40 31B30 PDF BibTeX XML Cite \textit{H. A. Matevosyan}, Sib. Èlektron. Mat. Izv. 16, 1716--1731 (2019; Zbl 1427.35031) Full Text: DOI
Monzón, Gabriel A virtual element method for a biharmonic Steklov eigenvalue problem. (English) Zbl 1430.31002 Adv. Pure Appl. Math. 10, No. 4, 325-337 (2019). Reviewer: Reviewer (Berlin) MSC: 31A30 35J40 65N30 PDF BibTeX XML Cite \textit{G. Monzón}, Adv. Pure Appl. Math. 10, No. 4, 325--337 (2019; Zbl 1430.31002) Full Text: DOI
Aleksanyan, Gohar Regularity of the free boundary in the biharmonic obstacle problem. (English) Zbl 1430.35274 Calc. Var. Partial Differ. Equ. 58, No. 6, Paper No. 206, 28 p. (2019). Reviewer: Wenhui Shi (Heidelberg) MSC: 35R35 35J35 31B30 PDF BibTeX XML Cite \textit{G. Aleksanyan}, Calc. Var. Partial Differ. Equ. 58, No. 6, Paper No. 206, 28 p. (2019; Zbl 1430.35274) Full Text: DOI arXiv
Dipierro, Serena; Karakhanyan, Aram L.; Valdinoci, Enrico Limit behaviour of a singular perturbation problem for the biharmonic operator. (English) Zbl 1429.31004 Appl. Math. Optim. 80, No. 3, 679-713 (2019). Reviewer: Reviewer (Berlin) MSC: 31B30 35R35 PDF BibTeX XML Cite \textit{S. Dipierro} et al., Appl. Math. Optim. 80, No. 3, 679--713 (2019; Zbl 1429.31004) Full Text: DOI arXiv
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). Reviewer: Reviewer (Berlin) MSC: 65N38 31A30 65N06 65T50 PDF BibTeX XML Cite \textit{Y. Xie} et al., J. Sci. Comput. 80, No. 3, 1681--1699 (2019; Zbl 1428.65103) Full Text: DOI
Gryshchuk, Serhii V.; Plaksa, Sergiy A. Biharmonic monogenic functions and biharmonic boundary value problems. (English) Zbl 1428.30053 Lindahl, Karl-Olof (ed.) et al., Analysis, probability, applications, and computation. Proceedings of the 11th ISAAC congress, Växjö, Sweden, August 14–18, 2017. Cham: Birkhäuser. Trends Math., 153-160 (2019). Reviewer: Reviewer (Berlin) MSC: 30G35 30E25 30E20 PDF BibTeX XML Cite \textit{S. V. Gryshchuk} and \textit{S. A. Plaksa}, in: Analysis, probability, applications, and computation. Proceedings of the 11th ISAAC congress, Växjö, Sweden, August 14--18, 2017. Cham: Birkhäuser. 153--160 (2019; Zbl 1428.30053) Full Text: DOI
Boudjaj, Loubna; Naji, Ahmed; Ghafrani, Fatima Solving biharmonic equation as an optimal control problem using localized radial basis functions collocation method. (English) Zbl 07110388 Eng. Anal. Bound. Elem. 107, 208-217 (2019). Reviewer: Reviewer (Berlin) MSC: 65 49 PDF BibTeX XML Cite \textit{L. Boudjaj} et al., Eng. Anal. Bound. Elem. 107, 208--217 (2019; Zbl 07110388) Full Text: DOI
Karachik, Valery V.; Turmetov, Batirkhan K. On Green’s function of the Robin problem for the Poisson equation. (English) Zbl 1426.35093 Adv. Pure Appl. Math. 10, No. 3, 203-213 (2019). Reviewer: Andreas Kleefeld (Jülich) MSC: 35J05 35J08 31A30 31A25 PDF BibTeX XML Cite \textit{V. V. Karachik} and \textit{B. K. Turmetov}, Adv. Pure Appl. Math. 10, No. 3, 203--213 (2019; Zbl 1426.35093) Full Text: DOI
Karachik, Valery Green’s function of Dirichlet problem for biharmonic equation in the ball. (English) Zbl 1421.31015 Complex Var. Elliptic Equ. 64, No. 9, 1500-1521 (2019). Reviewer: Reviewer (Berlin) MSC: 31B30 35J40 35J08 35C10 PDF BibTeX XML Cite \textit{V. Karachik}, Complex Var. Elliptic Equ. 64, No. 9, 1500--1521 (2019; Zbl 1421.31015) Full Text: DOI
Karachik, V. V. The Green function of the Dirichlet problem for the biharmonic equation in a ball. (English. Russian original) Zbl 1432.31005 Comput. Math. Math. Phys. 59, No. 1, 66-81 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 1, 71-86 (2019). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 31B30 35J08 PDF BibTeX XML Cite \textit{V. V. Karachik}, Comput. Math. Math. Phys. 59, No. 1, 66--81 (2019; Zbl 1432.31005); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 1, 71--86 (2019) Full Text: DOI
Gong, Yuxuan; Xu, Xiang Inverse random source problem for biharmonic equation in two dimensions. (English) Zbl 07080537 Inverse Probl. Imaging 13, No. 3, 635-652 (2019). Reviewer: Reviewer (Berlin) MSC: 45Q05 60H15 PDF BibTeX XML Cite \textit{Y. Gong} and \textit{X. Xu}, Inverse Probl. Imaging 13, No. 3, 635--652 (2019; Zbl 07080537) Full Text: DOI
Danh, Hua Quoc Nam; O’Regan, Donal; Vo, Van Au; Tran, Binh Thanh; Nguyen, Can Huu Regularization of an initial inverse problem for a biharmonic equation. (English) Zbl 1459.35391 Adv. Difference Equ. 2019, Paper No. 255, 20 p. (2019). Reviewer: Reviewer (Berlin) MSC: 35R30 35R25 PDF BibTeX XML Cite \textit{H. Q. N. Danh} et al., Adv. Difference Equ. 2019, Paper No. 255, 20 p. (2019; Zbl 1459.35391) Full Text: DOI
Chaharlang, Moloud Makvand; Razani, Abdolrahman A fourth order singular elliptic problem involving \(p\)-biharmonic operator. (English) Zbl 1418.35123 Taiwanese J. Math. 23, No. 3, 589-599 (2019). Reviewer: Reviewer (Berlin) MSC: 35J30 35J75 35J50 PDF BibTeX XML Cite \textit{M. M. Chaharlang} and \textit{A. Razani}, Taiwanese J. Math. 23, No. 3, 589--599 (2019; Zbl 1418.35123) Full Text: DOI Euclid
Gryshchuk, S. V.; Plaksa, S. A. Schwartz-type boundary value problems for monogenic functions in a biharmonic algebra. (English) Zbl 1418.30049 Rogosin, Sergei (ed.) et al., Analysis as a life. Dedicated to Heinrich Begehr on the occasion of his 80th birthday. Cham: Birkhäuser. Trends Math., 193-211 (2019). Reviewer: Reviewer (Berlin) MSC: 30G35 31A30 PDF BibTeX XML Cite \textit{S. V. Gryshchuk} and \textit{S. A. Plaksa}, in: Analysis as a life. Dedicated to Heinrich Begehr on the occasion of his 80th birthday. Cham: Birkhäuser. 193--211 (2019; Zbl 1418.30049) Full Text: DOI
Mao, Anmin; Wang, Wenqing Signed and sign-changing solutions of bi-nonlocal fourth order elliptic problem. (English) Zbl 1419.35023 J. Math. Phys. 60, No. 5, 051513, 13 p. (2019). Reviewer: Reviewer (Berlin) MSC: 35J30 31B30 35A01 35J35 PDF BibTeX XML Cite \textit{A. Mao} and \textit{W. Wang}, J. Math. Phys. 60, No. 5, 051513, 13 p. (2019; Zbl 1419.35023) Full Text: DOI
Kefi, Khaled; Saoudi, Kamel On the existence of a weak solution for some singular \(p(x)\)-biharmonic equation with Navier boundary conditions. (English) Zbl 1419.35038 Adv. Nonlinear Anal. 8, 1171-1183 (2019). Reviewer: Reviewer (Berlin) MSC: 35J60 35A15 35J35 PDF BibTeX XML Cite \textit{K. Kefi} and \textit{K. Saoudi}, Adv. Nonlinear Anal. 8, 1171--1183 (2019; Zbl 1419.35038) Full Text: DOI
Bhattacharyya, Sombuddha; Ghosh, Tuhin Inverse boundary value problem of determining up to a second order tensor appear in the lower order perturbation of a polyharmonic operator. (English) Zbl 1414.35261 J. Fourier Anal. Appl. 25, No. 3, 661-683 (2019). Reviewer: Reviewer (Berlin) MSC: 35R30 31B20 31B30 35J40 PDF BibTeX XML Cite \textit{S. Bhattacharyya} and \textit{T. Ghosh}, J. Fourier Anal. Appl. 25, No. 3, 661--683 (2019; Zbl 1414.35261) Full Text: DOI
Björn, Anders; Björn, Jana; Li, Xining Sphericalization and \(p\)-harmonic functions on unbounded domains in Ahlfors regular spaces. (English) Zbl 1417.30056 J. Math. Anal. Appl. 474, No. 2, 852-875 (2019). Reviewer: Reviewer (Berlin) MSC: 30L99 31B30 31B15 PDF BibTeX XML Cite \textit{A. Björn} et al., J. Math. Anal. Appl. 474, No. 2, 852--875 (2019; Zbl 1417.30056) Full Text: DOI
Kaur, Deepti; Mohanty, R. K. Two-level implicit high order method based on half-step discretization for 1D unsteady biharmonic problems of first kind. (English) Zbl 1411.65111 Appl. Numer. Math. 139, 1-14 (2019). Reviewer: Reviewer (Berlin) MSC: 65M06 65M12 PDF BibTeX XML Cite \textit{D. Kaur} and \textit{R. K. Mohanty}, Appl. Numer. Math. 139, 1--14 (2019; Zbl 1411.65111) Full Text: DOI
Cammaroto, Filippo; Vilasi, Luca Sequences of weak solutions for a Navier problem driven by the \(p(x)\)-biharmonic operator. (English) Zbl 1415.35111 Minimax Theory Appl. 4, No. 1, 71-85 (2019). Reviewer: Reviewer (Berlin) MSC: 35J35 35J40 PDF BibTeX XML Cite \textit{F. Cammaroto} and \textit{L. Vilasi}, Minimax Theory Appl. 4, No. 1, 71--85 (2019; Zbl 1415.35111) Full Text: Link
Colasuonno, Francesca; Vecchi, Eugenio Symmetry in the composite plate problem. (English) Zbl 1416.35102 Commun. Contemp. Math. 21, No. 2, Article ID 1850019, 34 p. (2019). Reviewer: Reviewer (Berlin) MSC: 35J40 35Q74 74E30 35P30 74K20 PDF BibTeX XML Cite \textit{F. Colasuonno} and \textit{E. Vecchi}, Commun. Contemp. Math. 21, No. 2, Article ID 1850019, 34 p. (2019; Zbl 1416.35102) Full Text: DOI arXiv
Führer, Thomas; Heuer, Norbert; Niemi, Antti H. An ultraweak formulation of the Kirchhoff-Love plate bending model and DPG approximation. (English) Zbl 1416.74083 Math. Comput. 88, No. 318, 1587-1619 (2019). Reviewer: V. Leontiev (Ul’yanovsk) MSC: 74S05 74K20 74G65 65N12 65N30 PDF BibTeX XML Cite \textit{T. Führer} et al., Math. Comput. 88, No. 318, 1587--1619 (2019; Zbl 1416.74083) Full Text: DOI arXiv
Colasuonno, Francesca; Vecchi, Eugenio Symmetry and rigidity for the hinged composite plate problem. (English) Zbl 1423.31003 J. Differ. Equations 266, No. 8, 4901-4924 (2019). Reviewer: Jesús Hernández (Madrid) MSC: 31B30 35J40 35B06 74K20 PDF BibTeX XML Cite \textit{F. Colasuonno} and \textit{E. Vecchi}, J. Differ. Equations 266, No. 8, 4901--4924 (2019; Zbl 1423.31003) Full Text: DOI arXiv
Darhouche, Omar Existence and multiplicity results for a class of Kirchhoff type problems involving the \(p(x)\)-biharmonic operator. (English) Zbl 1413.35014 Bol. Soc. Parana. Mat. (3) 37, No. 2, 23-33 (2019). Reviewer: Reviewer (Berlin) MSC: 35A15 35J35 46E35 PDF BibTeX XML Cite \textit{O. Darhouche}, Bol. Soc. Parana. Mat. (3) 37, No. 2, 23--33 (2019; Zbl 1413.35014) Full Text: Link
Kalmenov, Tynysbek S.; Sadybekov, Makhmud A.; Torebek, Berikbol T. A criterion of solvability of the elliptic Cauchy problem in a multi-dimensional cylindrical domain. (English) Zbl 1408.31002 Complex Var. Elliptic Equ. 64, No. 3, 398-408 (2019). Reviewer: Reviewer (Berlin) MSC: 31A30 31B30 35J40 PDF BibTeX XML Cite \textit{T. S. Kalmenov} et al., Complex Var. Elliptic Equ. 64, No. 3, 398--408 (2019; Zbl 1408.31002) Full Text: DOI
Matevossian, Hovik A. On the polyharmonic Neumann problem in weighted spaces. (English) Zbl 1409.35074 Complex Var. Elliptic Equ. 64, No. 1, 1-7 (2019). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35J30 35J40 31B30 PDF BibTeX XML Cite \textit{H. A. Matevossian}, Complex Var. Elliptic Equ. 64, No. 1, 1--7 (2019; Zbl 1409.35074) Full Text: DOI
Ferrero, Alberto; Lamberti, Pier Domenico Spectral stability for a class of fourth order Steklov problems under domain perturbations. (English) Zbl 1414.35071 Calc. Var. Partial Differ. Equ. 58, No. 1, Paper No. 33, 57 p. (2019). Reviewer: Giovanni Anello (Messina) MSC: 35J40 35B20 35P15 PDF BibTeX XML Cite \textit{A. Ferrero} and \textit{P. D. Lamberti}, Calc. Var. Partial Differ. Equ. 58, No. 1, Paper No. 33, 57 p. (2019; Zbl 1414.35071) Full Text: DOI
Karachik, V. V. On representation of Green’s function of the Dirichlet problem for biharmonic equation in a ball. (Russian. English summary) Zbl 1459.31003 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat., Mekh., Fiz. 10, No. 4, 13-22 (2018). Reviewer: Reviewer (Berlin) MSC: 31B30 35J40 35J30 PDF BibTeX XML Cite \textit{V. V. Karachik}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat., Mekh., Fiz. 10, No. 4, 13--22 (2018; Zbl 1459.31003) Full Text: DOI MNR
Yang, Yidu; Bi, Hai; Zhang, Yu The adaptive Ciarlet-Raviart mixed method for biharmonic problems with simply supported boundary condition. (English) Zbl 1429.65280 Appl. Math. Comput. 339, 206-219 (2018). Reviewer: Reviewer (Berlin) MSC: 65N30 35J40 65N15 65N25 PDF BibTeX XML Cite \textit{Y. Yang} et al., Appl. Math. Comput. 339, 206--219 (2018; Zbl 1429.65280) Full Text: DOI
Akel, Mohamed; Aldawsari, Mona Neumann boundary value problems in fan-shaped domains. (English) Zbl 1424.30133 Turk. J. Math. 42, No. 4, 1571-1589 (2018). Reviewer: Reviewer (Berlin) MSC: 30E25 31A30 35J05 35J15 PDF BibTeX XML Cite \textit{M. Akel} and \textit{M. Aldawsari}, Turk. J. Math. 42, No. 4, 1571--1589 (2018; Zbl 1424.30133) Full Text: DOI
Lytvyn, O. M.; Lytvyn, O. O.; Tomanova, I. S. Solving the biharmonic plate bending problem by the Ritz method using explicit formulas for splines of degree 5. (English. Russian original) Zbl 07044066 Cybern. Syst. Anal. 54, No. 6, 944-947 (2018); translation from Kibern. Sist. Anal. 2018, No. 6, 105-109 (2018). Reviewer: Reviewer (Berlin) MSC: 65 05 PDF BibTeX XML Cite \textit{O. M. Lytvyn} et al., Cybern. Syst. Anal. 54, No. 6, 944--947 (2018; Zbl 07044066); translation from Kibern. Sist. Anal. 2018, No. 6, 105--109 (2018) Full Text: DOI
Gutlyanskiĭ, V. Ya.; Nesmelova, O. V.; Ryazanov, V. L. On the regularity of solutions of quasilinear Poisson equations. (English) Zbl 1413.31002 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2018, No. 10, 9-17 (2018). Reviewer: Reviewer (Berlin) MSC: 31A30 35R01 PDF BibTeX XML Cite \textit{V. Ya. Gutlyanskiĭ} et al., Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2018, No. 10, 9--17 (2018; Zbl 1413.31002) Full Text: DOI
Matevossian, O. A. Mixed Dirichlet-Steklov problem for the biharmonic equation in weighted spaces. (English. Russian original) Zbl 1404.35153 J. Math. Sci., New York 234, No. 4, 440-454 (2018); translation from Tr. Semin. Im. I. G. Petrovskogo 31, 87-109 (2016). Reviewer: Reviewer (Berlin) MSC: 35J40 31B30 PDF BibTeX XML Cite \textit{O. A. Matevossian}, J. Math. Sci., New York 234, No. 4, 440--454 (2018; Zbl 1404.35153); translation from Tr. Semin. Im. I. G. Petrovskogo 31, 87--109 (2016) Full Text: DOI
Björn, Anders; Björn, Jana; Sjödin, Tomas The Dirichlet problem for \(p\)-harmonic functions with respect to arbitrary compactifications. (English) Zbl 1401.30066 Rev. Mat. Iberoam. 34, No. 3, 1323-1360 (2018). Reviewer: Reviewer (Berlin) MSC: 30L99 31E05 31B30 PDF BibTeX XML Cite \textit{A. Björn} et al., Rev. Mat. Iberoam. 34, No. 3, 1323--1360 (2018; Zbl 1401.30066) Full Text: DOI
Benrabah, A. Quasi-boundary value method for an ill-posed problem for the homogeneous biharmonic equation. (English) Zbl 1401.31010 Appl. Sci. 20, 36-53 (2018). Reviewer: Reviewer (Berlin) MSC: 31A30 35J30 65L20 PDF BibTeX XML Cite \textit{A. Benrabah}, Appl. Sci. 20, 36--53 (2018; Zbl 1401.31010) Full Text: Link
Zhou, Qing-Mei; Wang, Ke-Qi Multiple solutions to a class of \(p(x)\)-biharmonic differential inclusion problem with no-flux boundary condition. (English) Zbl 1400.35242 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 112, No. 4, 1549-1565 (2018). Reviewer: Reviewer (Berlin) MSC: 35R70 35J20 35J70 PDF BibTeX XML Cite \textit{Q.-M. Zhou} and \textit{K.-Q. Wang}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 112, No. 4, 1549--1565 (2018; Zbl 1400.35242) Full Text: DOI
Abdulhadi, Zayid; Muhanna, Yusuf Abu; Ponnusamy, Saminathan Dirichlet problem, univalency and Schwarz lemma for biharmonic mappings. (English) Zbl 1401.31009 Mediterr. J. Math. 15, No. 4, Paper No. 187, 1-16 (2018). Reviewer: Reviewer (Berlin) MSC: 31A30 31A25 PDF BibTeX XML Cite \textit{Z. Abdulhadi} et al., Mediterr. J. Math. 15, No. 4, Paper No. 187, 1--16 (2018; Zbl 1401.31009) Full Text: DOI arXiv
Jiang, Ying; Wang, Bo; Xu, Yuesheng A fully discrete fast Fourier-Galerkin method solving a boundary integral equation for the biharmonic equation. (English) Zbl 1401.31011 J. Sci. Comput. 76, No. 3, 1594-1632 (2018). Reviewer: Reviewer (Berlin) MSC: 31A30 31A25 65N30 PDF BibTeX XML Cite \textit{Y. Jiang} et al., J. Sci. Comput. 76, No. 3, 1594--1632 (2018; Zbl 1401.31011) Full Text: DOI
Tyni, Teemu; Serov, Valery Scattering problems for perturbations of the multidimensional biharmonic operator. (English) Zbl 06936142 Inverse Probl. Imaging 12, No. 1, 205-227 (2018). Reviewer: Reviewer (Berlin) MSC: 47A40 34A55 81U40 PDF BibTeX XML Cite \textit{T. Tyni} and \textit{V. Serov}, Inverse Probl. Imaging 12, No. 1, 205--227 (2018; Zbl 06936142) Full Text: DOI
Hangelbroek, Thomas C. On a polyharmonic Dirichlet problem and boundary effects in surface spline approximation. (English) Zbl 1400.31005 SIAM J. Math. Anal. 50, No. 4, 4616-4654 (2018). Reviewer: Reviewer (Berlin) MSC: 31B30 41A15 65D07 PDF BibTeX XML Cite \textit{T. C. Hangelbroek}, SIAM J. Math. Anal. 50, No. 4, 4616--4654 (2018; Zbl 1400.31005) Full Text: DOI arXiv
Wang, Fanglei; Ru, Yuanfang; An, Tianqing Nontrivial solutions for a fourth-order elliptic equation of Kirchhoff type via Galerkin method. (English) Zbl 1395.35093 J. Fixed Point Theory Appl. 20, No. 2, Paper No. 71, 9 p. (2018). Reviewer: Reviewer (Berlin) MSC: 35J60 65N30 PDF BibTeX XML Cite \textit{F. Wang} et al., J. Fixed Point Theory Appl. 20, No. 2, Paper No. 71, 9 p. (2018; Zbl 1395.35093) Full Text: DOI
Kefi, Khaled; Rădulescu, Vicenţiu D. Small perturbations of nonlocal biharmonic problems with variable exponent and competing nonlinearities. (English) Zbl 1402.35131 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 29, No. 3, 439-463 (2018). Reviewer: Patrick Winkert (Berlin) MSC: 35J92 35J58 PDF BibTeX XML Cite \textit{K. Kefi} and \textit{V. D. Rădulescu}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 29, No. 3, 439--463 (2018; Zbl 1402.35131) Full Text: DOI
Zhang, Shuo; Xi, Yingxia; Ji, Xia A multi-level mixed element method for the eigenvalue problem of biharmonic equation. (English) Zbl 1395.65132 J. Sci. Comput. 75, No. 3, 1415-1444 (2018). Reviewer: Reviewer (Berlin) MSC: 65N25 65N30 47B07 35Q74 65N55 35P15 74B10 74K20 65F15 PDF BibTeX XML Cite \textit{S. Zhang} et al., J. Sci. Comput. 75, No. 3, 1415--1444 (2018; Zbl 1395.65132) Full Text: DOI arXiv
Li, Hao; Yang, Yidu \(C^0\mathrm{IPG}\) adaptive algorithms for the biharmonic eigenvalue problem. (English) Zbl 1402.65146 Numer. Algorithms 78, No. 2, 553-567 (2018). Reviewer: Adhemar Bultheel (Leuven) MSC: 65N25 65N30 65F15 31A30 PDF BibTeX XML Cite \textit{H. Li} and \textit{Y. Yang}, Numer. Algorithms 78, No. 2, 553--567 (2018; Zbl 1402.65146) Full Text: DOI
Karachik, V. V. Solving a problem of Robin type for biharmonic equation. (English. Russian original) Zbl 1394.31003 Russ. Math. 62, No. 2, 34-48 (2018); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2018, No. 2, 39-53 (2018). Reviewer: Reviewer (Berlin) MSC: 31B30 31B20 35B40 PDF BibTeX XML Cite \textit{V. V. Karachik}, Russ. Math. 62, No. 2, 34--48 (2018; Zbl 1394.31003); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2018, No. 2, 39--53 (2018) Full Text: DOI
Cho, D.; Pavarino, L. F.; Scacchi, S. Isogeometric Schwarz preconditioners for the biharmonic problem. (English) Zbl 1448.65260 ETNA, Electron. Trans. Numer. Anal. 49, 81-102 (2018). Reviewer: Reviewer (Berlin) MSC: 65N55 65N30 65F10 65F08 65D07 31A30 PDF BibTeX XML Cite \textit{D. Cho} et al., ETNA, Electron. Trans. Numer. Anal. 49, 81--102 (2018; Zbl 1448.65260) Full Text: DOI Link
Rachh, M.; Askham, T. Integral equation formulation of the biharmonic Dirichlet problem. (English) Zbl 1391.31004 J. Sci. Comput. 75, No. 2, 762-781 (2018). Reviewer: Reviewer (Berlin) MSC: 31A10 31A30 65R20 65N99 PDF BibTeX XML Cite \textit{M. Rachh} and \textit{T. Askham}, J. Sci. Comput. 75, No. 2, 762--781 (2018; Zbl 1391.31004) Full Text: DOI
Tyni, Teemu Recovery of singularities from a backscattering Born approximation for a biharmonic operator in 3D. (English) Zbl 06866432 Inverse Probl. 34, No. 4, Article ID 045007, 10 p. (2018). Reviewer: Reviewer (Berlin) MSC: 41 31 PDF BibTeX XML Cite \textit{T. Tyni}, Inverse Probl. 34, No. 4, Article ID 045007, 10 p. (2018; Zbl 06866432) Full Text: DOI
Mohanty, R. K.; Kaur, D. Compact difference scheme with high accuracy for one-dimensional unsteady quasi-linear biharmonic problem of second kind: application to physical problems. (Russian, English) Zbl 1399.65163 Sib. Zh. Vychisl. Mat. 21, No. 1, 65-82 (2018); translation in Numer. Analysis Appl. 11, No. 1, 45-59 (2018). Reviewer: Reviewer (Berlin) MSC: 65M06 35Q53 65M12 35K55 PDF BibTeX XML Cite \textit{R. K. Mohanty} and \textit{D. Kaur}, Sib. Zh. Vychisl. Mat. 21, No. 1, 65--82 (2018; Zbl 1399.65163); translation in Numer. Analysis Appl. 11, No. 1, 45--59 (2018) Full Text: DOI
Zamolo, Riccardo; Parussini, Lucia; Pediroda, Valentino Distributed Lagrange multiplier functions for fictitious domain method with spectral/hp element discretization. (English) Zbl 1398.65182 J. Sci. Comput. 74, No. 2, 805-825 (2018). Reviewer: Reviewer (Berlin) MSC: 65L10 65N35 PDF BibTeX XML Cite \textit{R. Zamolo} et al., J. Sci. Comput. 74, No. 2, 805--825 (2018; Zbl 1398.65182) Full Text: DOI
Antonietti, P. F.; Manzini, G.; Verani, M. The fully nonconforming virtual element method for biharmonic problems. (English) Zbl 1381.65090 Math. Models Methods Appl. Sci. 28, No. 2, 387-407 (2018). Reviewer: Reviewer (Berlin) MSC: 65N30 65N15 35J30 PDF BibTeX XML Cite \textit{P. F. Antonietti} et al., Math. Models Methods Appl. Sci. 28, No. 2, 387--407 (2018; Zbl 1381.65090) Full Text: DOI arXiv