Nguyen, Duc Thai Finite element methods: parallel-sparse statics and eigen-solutions (to appear). 2nd edition. (English) Zbl 07813644 Cham: Springer (ISBN 978-3-031-48787-3/hbk; 978-3-031-48790-3/pbk; 978-3-031-48788-0/ebook). (2024). MSC: 65N30 65N25 65N55 65N50 65-02 65-04 35J25 35P15 65F05 65F10 65F50 65Y05 74S05 76M10 35R02 PDFBibTeX XML
Feng, Fang; Yang, Hui; Zhu, Shengfeng Shape optimization with virtual element method. (English) Zbl 07810067 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107876, 20 p. (2024). MSC: 65N30 65N50 65K10 65K10 65N85 49Q10 49M41 49R05 49J20 49K40 35A15 35J25 76D07 76M21 74B10 PDFBibTeX XMLCite \textit{F. Feng} et al., Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107876, 20 p. (2024; Zbl 07810067) Full Text: DOI
Antonietti, P. F.; Farenga, N.; Manuzzi, E.; Martinelli, G.; Saverio, L. Agglomeration of polygonal grids using graph neural networks with applications to multigrid solvers. (English) Zbl 07784347 Comput. Math. Appl. 154, 45-57 (2024). MSC: 65N30 65N55 35J25 65N12 65N50 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., Comput. Math. Appl. 154, 45--57 (2024; Zbl 07784347) Full Text: DOI arXiv
Kovács, Mihály; Vághy, Mihály András Neumann-Neumann type domain decomposition of elliptic problems on metric graphs. arXiv:2402.05707 Preprint, arXiv:2402.05707 [math.NA] (2024). MSC: 65N55 35R02 65F08 65N22 BibTeX Cite \textit{M. Kovács} and \textit{M. A. Vághy}, ``Neumann-Neumann type domain decomposition of elliptic problems on metric graphs'', Preprint, arXiv:2402.05707 [math.NA] (2024) Full Text: arXiv OA License
Gu, Qiling; Chen, Yanping; Zhou, Jianwei; Huang, Yunqing A two-grid virtual element method for nonlinear variable-order time-fractional diffusion equation on polygonal meshes. (English) Zbl 07761285 Int. J. Comput. Math. 100, No. 11, 2124-2139 (2023). MSC: 65M60 65N30 34K37 65M15 65M55 PDFBibTeX XMLCite \textit{Q. Gu} et al., Int. J. Comput. Math. 100, No. 11, 2124--2139 (2023; Zbl 07761285) Full Text: DOI
Cangiani, Andrea; Dong, Zhaonan; Georgoulis, Emmanuil H. A posteriori error estimates for discontinuous Galerkin methods on polygonal and polyhedral meshes. (English) Zbl 1526.65052 SIAM J. Numer. Anal. 61, No. 5, 2352-2380 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65J10 65N15 65N12 65N50 65N85 41A25 PDFBibTeX XMLCite \textit{A. Cangiani} et al., SIAM J. Numer. Anal. 61, No. 5, 2352--2380 (2023; Zbl 1526.65052) Full Text: DOI arXiv
Abgrall, Rémi; Han Veiga, Maria Neural network-based limiter with transfer learning. (English) Zbl 1524.65699 Commun. Appl. Math. Comput. 5, No. 2, 532-572 (2023). MSC: 65M99 65Y15 65Y20 68T07 35R02 65L06 65M60 PDFBibTeX XMLCite \textit{R. Abgrall} and \textit{M. Han Veiga}, Commun. Appl. Math. Comput. 5, No. 2, 532--572 (2023; Zbl 1524.65699) 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
Antonietti, Paola F.; Berrone, Stefano; Busetto, Martina; Verani, Marco Agglomeration-based geometric multigrid schemes for the virtual element method. (English) Zbl 1512.65290 SIAM J. Numer. Anal. 61, No. 1, 223-249 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65N55 65N50 65N30 65N22 65N12 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., SIAM J. Numer. Anal. 61, No. 1, 223--249 (2023; Zbl 1512.65290) Full Text: DOI arXiv
Arrutselvi, M.; Natarajan, E.; Natarajan, S. Virtual element method for the quasilinear convection-diffusion-reaction equation on polygonal meshes. (English) Zbl 1501.65102 Adv. Comput. Math. 48, No. 6, Paper No. 78, 45 p. (2022). MSC: 65N30 65N55 65N12 65N15 PDFBibTeX XMLCite \textit{M. Arrutselvi} et al., Adv. Comput. Math. 48, No. 6, Paper No. 78, 45 p. (2022; Zbl 1501.65102) Full Text: DOI
Liu, Yi; Chen, Wenbin; Wang, Yanqiu A weak Galerkin mixed finite element method for second order elliptic equations on 2D curved domains. (English) Zbl 1498.65204 Commun. Comput. Phys. 32, No. 4, 1094-1128 (2022). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{Y. Liu} et al., Commun. Comput. Phys. 32, No. 4, 1094--1128 (2022; Zbl 1498.65204) Full Text: DOI arXiv
Kwak, Do Y.; Park, Hyeokjoo A formal construction of a divergence-free basis in the nonconforming virtual element method for the Stokes problem. (English) Zbl 1502.65208 Numer. Algorithms 91, No. 1, 449-471 (2022). MSC: 65N30 65N55 65N12 76D07 76M10 35Q35 PDFBibTeX XMLCite \textit{D. Y. Kwak} and \textit{H. Park}, Numer. Algorithms 91, No. 1, 449--471 (2022; Zbl 1502.65208) Full Text: DOI arXiv
Carstensen, Carsten; Khot, Rekha; Pani, Amiya K. A priori and a posteriori error analysis of the lowest-order NCVEM for second-order linear indefinite elliptic problems. (English) Zbl 1496.65209 Numer. Math. 151, No. 3, 551-600 (2022). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N50 65N12 65N15 35J15 35B45 PDFBibTeX XMLCite \textit{C. Carstensen} et al., Numer. Math. 151, No. 3, 551--600 (2022; Zbl 1496.65209) Full Text: DOI arXiv
Zhao, Lina; Park, Eun-Jae; Kim, Wonjong A staggered cell-centered DG method for the biharmonic Steklov problem on polygonal meshes: a priori and a posteriori analysis. (English) Zbl 1524.65883 Comput. Math. Appl. 117, 216-228 (2022). MSC: 65N30 65N15 65N12 35J40 74K20 31A30 65N85 65N50 35Q74 PDFBibTeX XMLCite \textit{L. Zhao} et al., Comput. Math. Appl. 117, 216--228 (2022; Zbl 1524.65883) Full Text: DOI
Zhou, Kaiye; Gong, Wei Error estimates for finite element approximation of Dirichlet boundary control for Stokes equations in \(\mathbf{L}^2(\Gamma)\). (English) Zbl 1490.65295 J. Sci. Comput. 91, No. 2, Paper No. 45, 36 p. (2022). MSC: 65N30 65N15 76D05 PDFBibTeX XMLCite \textit{K. Zhou} and \textit{W. Gong}, J. Sci. Comput. 91, No. 2, Paper No. 45, 36 p. (2022; Zbl 1490.65295) Full Text: DOI
Taskinen, Jari Berezin transform and Toeplitz operators on polygonal domains. (English) Zbl 07486025 Complex Var. Elliptic Equ. 67, No. 3, 773-787 (2022). Reviewer: Timothy G. Clos (Kent) MSC: 47B35 44A15 46E15 35K05 35B40 PDFBibTeX XMLCite \textit{J. Taskinen}, Complex Var. Elliptic Equ. 67, No. 3, 773--787 (2022; Zbl 07486025) Full Text: DOI
Eom, Taekang; Lee, Seungjun; Ahn, Hee-Kap Largest similar copies of convex polygons in polygonal domains. (English) Zbl 07799597 Bojańczyk, Mikołaj (ed.) et al., 41st IARCS annual conference on foundations of software technology and theoretical computer science, FSTTCS 2021, virtual conference, December 15–17, 2021. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 213, Article 19, 13 p. (2021). MSC: 68N30 68Qxx PDFBibTeX XMLCite \textit{T. Eom} et al., LIPIcs -- Leibniz Int. Proc. Inform. 213, Article 19, 13 p. (2021; Zbl 07799597) Full Text: DOI
Wang, Haitao A new algorithm for Euclidean shortest paths in the plane. (English) Zbl 07765225 Khuller, Samir (ed.) et al., Proceedings of the 53rd annual ACM SIGACT symposium on theory of computing, STOC ’21, virtual, Italy, June 21–25, 2021. New York, NY: Association for Computing Machinery (ACM). 975-988 (2021). MSC: 68Qxx PDFBibTeX XMLCite \textit{H. Wang}, in: Proceedings of the 53rd annual ACM SIGACT symposium on theory of computing, STOC '21, virtual, Italy, June 21--25, 2021. New York, NY: Association for Computing Machinery (ACM). 975--988 (2021; Zbl 07765225) Full Text: DOI arXiv
Després, B.; Nicolopoulos, A.; Thierry, B. Corners and stable optimized domain decomposition methods for the Helmholtz problem. (English) Zbl 1480.35108 Numer. Math. 149, No. 4, 779-818 (2021). MSC: 35J05 65M55 65N30 PDFBibTeX XMLCite \textit{B. Després} et al., Numer. Math. 149, No. 4, 779--818 (2021; Zbl 1480.35108) Full Text: DOI HAL
Tai, Xue-Cheng; Deng, Liang-Jian; Yin, Ke A multigrid algorithm for maxflow and min-cut problems with applications to multiphase image segmentation. (English) Zbl 1476.65328 J. Sci. Comput. 87, No. 3, Paper No. 101, 22 p. (2021). MSC: 65N55 65K10 65N30 65D18 49J35 68U05 35R02 35R09 PDFBibTeX XMLCite \textit{X.-C. Tai} et al., J. Sci. Comput. 87, No. 3, Paper No. 101, 22 p. (2021; Zbl 1476.65328) Full Text: DOI
Wang, Chunmei; Zikatanov, Ludmil Low regularity primal-dual weak Galerkin finite element methods for convection-diffusion equations. (English) Zbl 1467.65114 J. Comput. Appl. Math. 394, Article ID 113543, 18 p. (2021). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N15 65N12 74N20 35B45 35J50 35J35 PDFBibTeX XMLCite \textit{C. Wang} and \textit{L. Zikatanov}, J. Comput. Appl. Math. 394, Article ID 113543, 18 p. (2021; Zbl 1467.65114) Full Text: DOI arXiv
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). MSC: 65N30 65N15 35J15 76D07 31A30 65N85 PDFBibTeX XMLCite \textit{S. Xu}, Appl. Numer. Math. 161, 510--524 (2021; Zbl 1460.65150) Full Text: DOI
Borio, Andrea; Fumagalli, Alessio; Scialò, Stefano Comparison of the response to geometrical complexity of methods for unstationary simulations in discrete fracture networks with conforming, polygonal, and non-matching grids. (English) Zbl 1453.86005 Comput. Geosci. 25, No. 1, 143-162 (2021). MSC: 86-08 76S05 86A05 PDFBibTeX XMLCite \textit{A. Borio} et al., Comput. Geosci. 25, No. 1, 143--162 (2021; Zbl 1453.86005) Full Text: DOI
Arseneva, Elena; Chiu, Man-Kwun; Korman, Matias; Markovic, Aleksandar; Okamoto, Yoshio; Ooms, Aurélien; van Renssen, André; Roeloffzen, Marcel Rectilinear link diameter and radius in a rectilinear polygonal domain. (English) Zbl 1477.68457 Comput. Geom. 92, Article ID 101685, 11 p. (2021). Reviewer: Agnieszka Lisowska (Sosnowiec) MSC: 68U05 68T40 68W40 PDFBibTeX XMLCite \textit{E. Arseneva} et al., Comput. Geom. 92, Article ID 101685, 11 p. (2021; Zbl 1477.68457) Full Text: DOI arXiv
Klaer, Vincent B.; Moore, Guy D. Global cosmic string networks as a function of tension. (English) Zbl 1492.83065 J. Cosmol. Astropart. Phys. 2020, No. 6, Paper No. 21, 25 p. (2020). MSC: 83C57 83E30 35R02 57R67 81V60 81V25 PDFBibTeX XMLCite \textit{V. B. Klaer} and \textit{G. D. Moore}, J. Cosmol. Astropart. Phys. 2020, No. 6, Paper No. 21, 25 p. (2020; Zbl 1492.83065) Full Text: DOI arXiv
Seibel, Daniel; Weißer, Steffen Recovery-based error estimators for the VEM and BEM-based FEM. (English) Zbl 1454.65172 Comput. Math. Appl. 80, No. 9, 2073-2089 (2020). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N38 65N50 65N15 65N12 PDFBibTeX XMLCite \textit{D. Seibel} and \textit{S. Weißer}, Comput. Math. Appl. 80, No. 9, 2073--2089 (2020; Zbl 1454.65172) Full Text: DOI
Hong, Qi; Li, Jun; Wang, Qi Supplementary variable method for structure-preserving approximations to partial differential equations with deduced equations. (English) Zbl 1452.65160 Appl. Math. Lett. 110, Article ID 106576, 9 p. (2020). MSC: 65M06 65N06 65N85 35R02 35Q35 PDFBibTeX XMLCite \textit{Q. Hong} et al., Appl. Math. Lett. 110, Article ID 106576, 9 p. (2020; Zbl 1452.65160) Full Text: DOI
Dong, Zhaonan; Georgoulis, Emmanuil H.; Pryer, Tristan Recovered finite element methods on polygonal and polyhedral meshes. (English) Zbl 1446.65165 ESAIM, Math. Model. Numer. Anal. 54, No. 4, 1309-1337 (2020). MSC: 65N30 65N50 65N55 35B45 PDFBibTeX XMLCite \textit{Z. Dong} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 4, 1309--1337 (2020; Zbl 1446.65165) Full Text: DOI arXiv Link
Deng, Yanling; Wang, Fei; Wei, Huayi A posteriori error estimates of virtual element method for a simplified friction problem. (English) Zbl 1442.65360 J. Sci. Comput. 83, No. 3, Paper No. 52, 20 p. (2020). MSC: 65N30 65N50 65N15 65N85 35J86 74M10 74S05 PDFBibTeX XMLCite \textit{Y. Deng} et al., J. Sci. Comput. 83, No. 3, Paper No. 52, 20 p. (2020; Zbl 1442.65360) Full Text: DOI
Banyassady, Bahareh; Chiu, Man-Kwun; Korman, Matias; Mulzer, Wolfgang; van Renssen, André; Roeloffzen, Marcel; Seiferth, Paul; Stein, Yannik; Vogtenhuber, Birgit; Willert, Max Routing in polygonal domains. (English) Zbl 1433.68276 Comput. Geom. 87, Article ID 101593, 9 p. (2020). MSC: 68R10 68M20 68U05 68W40 PDFBibTeX XMLCite \textit{B. Banyassady} et al., Comput. Geom. 87, Article ID 101593, 9 p. (2020; Zbl 1433.68276) Full Text: DOI
Shapeev, Vasiliĭ Pavlovich; Bryndin, Luka Sergeevich; Belyaev, Vasiliĭ Alekseevich Solving elliptic equations in polygonal domains by the least squares collocation method. (Russian. English summary) Zbl 1433.35031 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 12, No. 3, 140-152 (2019). MSC: 35J15 35J40 41A10 65N50 PDFBibTeX XMLCite \textit{V. P. Shapeev} et al., Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 12, No. 3, 140--152 (2019; Zbl 1433.35031) Full Text: DOI MNR
Mannersalo, Paula Toeplitz operators on Bergman spaces of polygonal domains. (English) Zbl 07118119 Proc. Edinb. Math. Soc., II. Ser. 62, No. 4, 1115-1136 (2019). MSC: 47B35 PDFBibTeX XMLCite \textit{P. Mannersalo}, Proc. Edinb. Math. Soc., II. Ser. 62, No. 4, 1115--1136 (2019; Zbl 07118119) Full Text: DOI arXiv
Cioica-Licht, Petru A.; Kim, Kyeong-Hun; Lee, Kijung On the regularity of the stochastic heat equation on polygonal domains in \(\mathbb{R}^2\). (English) Zbl 1433.60050 J. Differ. Equations 267, No. 11, 6447-6479 (2019). MSC: 60H15 35R60 35K05 PDFBibTeX XMLCite \textit{P. A. Cioica-Licht} et al., J. Differ. Equations 267, No. 11, 6447--6479 (2019; Zbl 1433.60050) Full Text: DOI arXiv
Hoskins, Jeremy G.; Rokhlin, Vladimir; Serkh, Kirill On the numerical solution of elliptic partial differential equations on polygonal domains. (English) Zbl 1426.65212 SIAM J. Sci. Comput. 41, No. 4, A2552-A2578 (2019). Reviewer: Manfred Tasche (Rostock) MSC: 65R20 65N35 31A05 31A25 PDFBibTeX XMLCite \textit{J. G. Hoskins} et al., SIAM J. Sci. Comput. 41, No. 4, A2552--A2578 (2019; Zbl 1426.65212) Full Text: DOI
Mu, Lin A priori and a posterior error estimate of new weak Galerkin finite element methods for second order elliptic interface problems on polygonal meshes. (English) Zbl 1422.65403 J. Comput. Appl. Math. 362, 423-442 (2019). MSC: 65N30 65N15 65N85 65N50 35J15 PDFBibTeX XMLCite \textit{L. Mu}, J. Comput. Appl. Math. 362, 423--442 (2019; Zbl 1422.65403) Full Text: DOI
Antonietti, P. F.; Pennesi, G. \(V\)-cycle multigrid algorithms for discontinuous Galerkin methods on non-nested polytopic meshes. (English) Zbl 1410.65092 J. Sci. Comput. 78, No. 1, 625-652 (2019). MSC: 65F10 65M55 65N22 PDFBibTeX XMLCite \textit{P. F. Antonietti} and \textit{G. Pennesi}, J. Sci. Comput. 78, No. 1, 625--652 (2019; Zbl 1410.65092) Full Text: DOI arXiv
Bae, Sang Won; Korman, Matias; Okamoto, Yoshio Computing the geodesic centers of a polygonal domain. (English) Zbl 1506.68172 Comput. Geom. 77, 3-9 (2019). MSC: 68U05 68W40 PDFBibTeX XMLCite \textit{S. W. Bae} et al., Comput. Geom. 77, 3--9 (2019; Zbl 1506.68172) Full Text: DOI arXiv
Arseneva, Elena; Chiu, Man-Kwun; Korman, Matias; Markovic, Aleksandar; Okamoto, Yoshio; Ooms, Aurélien; van Renssen, André; Roeloffzen, Marcel Rectilinear link diameter and radius in a rectilinear polygonal domain. (English) Zbl 07561412 Hsu, Wen-Lian (ed.) et al., 29th international symposium on algorithms and computation, ISAAC 2018, December 16–19, 2018, Jiaoxi, Yilan, Taiwan. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 123, Article 58, 13 p. (2018). MSC: 68Wxx PDFBibTeX XMLCite \textit{E. Arseneva} et al., LIPIcs -- Leibniz Int. Proc. Inform. 123, Article 58, 13 p. (2018; Zbl 07561412) Full Text: DOI
Petrovitch, Michel Adabrah, Anani (ed.); Ranomenjanahary, Roger (ed.); Dragović, Vladimir (ed.) On a property of differential equations integrable using meromorphic double-periodic functions. (Sur une propriété des équations différentielles intégrables à l’aide des fonctions méromorphes doublement periodiques.) (English) Zbl 1474.34612 Theor. Appl. Mech. (Belgrade) 45, No. 1, 121-127 (2018). MSC: 34M05 34M15 PDFBibTeX XMLCite \textit{M. Petrovitch} et al., Theor. Appl. Mech. (Belgrade) 45, No. 1, 121--127 (2018; Zbl 1474.34612) Full Text: DOI
Barba, Luis; Hoffmann, Michael; Korman, Matias; Pilz, Alexander Convex hulls in polygonal domains. (English) Zbl 1477.68458 Eppstein, David (ed.), 16th Scandinavian symposium and workshops on algorithm theory. SWAT 2018, June 18–20, 2018, Malmö University, Malmö, Sweden. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 101, Article 8, 13 p. (2018). MSC: 68U05 52A01 68W40 PDFBibTeX XMLCite \textit{L. Barba} et al., LIPIcs -- Leibniz Int. Proc. Inform. 101, Article 8, 13 p. (2018; Zbl 1477.68458) Full Text: DOI
Mozafari, Amirhossein; Shermer, Thomas C. Transmitting particles in a polygonal domain by repulsion. (English) Zbl 1521.68241 Kim, Donghyun (ed.) et al., Combinatorial optimization and applications. 12th international conference, COCOA 2018, Atlanta, GA, USA, December 15–17, 2018. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11346, 495-508 (2018). MSC: 68U05 68W40 PDFBibTeX XMLCite \textit{A. Mozafari} and \textit{T. C. Shermer}, Lect. Notes Comput. Sci. 11346, 495--508 (2018; Zbl 1521.68241) Full Text: DOI
Bi, Hai; Yang, Yidu; Yu, Yuanyuan; Han, Jiayu New error estimates for linear triangle finite elements in the Steklov eigenvalue problem. (English) Zbl 1424.65216 J. Comput. Math. 36, No. 5, 682-692 (2018). MSC: 65N25 65N15 65N30 PDFBibTeX XMLCite \textit{H. Bi} et al., J. Comput. Math. 36, No. 5, 682--692 (2018; Zbl 1424.65216) Full Text: DOI
Wang, Haitao On the geodesic centers of polygonal domains. (English) Zbl 1427.68338 J. Comput. Geom. 9, No. 1, 131-190 (2018). Reviewer: Krzystof Gdawiec (Sosnowiec) MSC: 68U05 68W40 PDFBibTeX XMLCite \textit{H. Wang}, J. Comput. Geom. 9, No. 1, 131--190 (2018; Zbl 1427.68338) Full Text: DOI
Zhou, Fangfang; Ma, Heping Legendre-Chebyshev spectral element method for heat conduction equations on polygonal domain. (Chinese. English summary) Zbl 1424.65200 Commun. Appl. Math. Comput. 32, No. 2, 402-408 (2018). MSC: 65M70 65M12 PDFBibTeX XMLCite \textit{F. Zhou} and \textit{H. Ma}, Commun. Appl. Math. Comput. 32, No. 2, 402--408 (2018; Zbl 1424.65200) Full Text: DOI
Ammari, Kaïs; Shel, Farhat Stability of a tree-shaped network of strings and beams. (English) Zbl 1405.35237 Math. Methods Appl. Sci. 41, No. 17, 7915-7935 (2018). MSC: 35R02 35Q74 35M33 35B40 93D15 74K05 74K10 PDFBibTeX XMLCite \textit{K. Ammari} and \textit{F. Shel}, Math. Methods Appl. Sci. 41, No. 17, 7915--7935 (2018; Zbl 1405.35237) Full Text: DOI arXiv
Arioli, Mario; Benzi, Michele A finite element method for quantum graphs. (English) Zbl 1462.65176 IMA J. Numer. Anal. 38, No. 3, 1119-1163 (2018). MSC: 65N30 65N55 65F08 65F10 05C10 81Q35 35R02 PDFBibTeX XMLCite \textit{M. Arioli} and \textit{M. Benzi}, IMA J. Numer. Anal. 38, No. 3, 1119--1163 (2018; Zbl 1462.65176) Full Text: DOI
Antonietti, Paola F.; Verani, Marco A multigrid algorithm for the \(p\)-version of the virtual element method. (English) Zbl 1397.65249 ESAIM, Math. Model. Numer. Anal. 52, No. 1, 337-364 (2018). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N55 65F10 65F08 PDFBibTeX XMLCite \textit{P. F. Antonietti} and \textit{M. Verani}, ESAIM, Math. Model. Numer. Anal. 52, No. 1, 337--364 (2018; Zbl 1397.65249) Full Text: DOI arXiv
Xu, Wenfang; Zikatanov, Ludmil T. Adaptive aggregation on graphs. (English) Zbl 1432.65178 J. Comput. Appl. Math. 340, 718-730 (2018). MSC: 65N55 65N30 35R02 PDFBibTeX XMLCite \textit{W. Xu} and \textit{L. T. Zikatanov}, J. Comput. Appl. Math. 340, 718--730 (2018; Zbl 1432.65178) Full Text: DOI arXiv
Burton, Benjamin; Chambers, Erin; van Kreveld, Marc; Meulemans, Wouter; Ophelders, Tim; Speckmann, Bettina Computing optimal homotopies over a spiked plane with polygonal boundary. (English) Zbl 1442.68250 Pruhs, Kirk (ed.) et al., 25th European symposium on algorithms, ESA 2017, Vienna, Austria, September 4–6, 2017. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 87, Article 23, 14 p. (2017). MSC: 68U05 68W25 PDFBibTeX XMLCite \textit{B. Burton} et al., LIPIcs -- Leibniz Int. Proc. Inform. 87, Article 23, 14 p. (2017; Zbl 1442.68250) Full Text: DOI
Sinai, Ya. G.; Vinogradov, I. Eigenfunctions of Laplacians in some two-dimensional domains. (English) Zbl 1516.35274 Blokh, Alexander M. (ed.) et al., Dynamical systems, ergodic theory, and probability. In memory of Kolya Chernov. Conference dedicated to the memory of Nikolai Chernov, University of Alabama at Birmingham, Birmingham, AL, USA, May 18–20, 2015. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 698, 195-199 (2017). MSC: 35P05 35J25 PDFBibTeX XMLCite \textit{Ya. G. Sinai} and \textit{I. Vinogradov}, Contemp. Math. 698, 195--199 (2017; Zbl 1516.35274) Full Text: DOI
Antonietti, Paola F.; Houston, Paul; Hu, Xiaozhe; Sarti, Marco; Verani, Marco Multigrid algorithms for \(hp\)-version interior penalty discontinuous Galerkin methods on polygonal and polyhedral meshes. (English) Zbl 1421.65029 Calcolo 54, No. 4, 1169-1198 (2017). Reviewer: Vit Dolejsi (Praha) MSC: 65N30 65N55 65N12 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., Calcolo 54, No. 4, 1169--1198 (2017; Zbl 1421.65029) Full Text: DOI arXiv
Du, Yingyu; Chen, Qinghua The adaptive Crouzeix-Raviart element method for convection-diffusion eigenvalue problems. (English) Zbl 1378.65174 Int. J. Numer. Methods Appl. 16, No. 1, 27-50 (2017). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N25 65N30 65N15 35P15 PDFBibTeX XMLCite \textit{Y. Du} and \textit{Q. Chen}, Int. J. Numer. Methods Appl. 16, No. 1, 27--50 (2017; Zbl 1378.65174) Full Text: DOI arXiv
Espinoza-Loyola, E.; Karlovich, Yu. I. \(C^{\ast}\)-algebras of Bergman type operators with piecewise continuous coefficients over bounded polygonal domains. (English) Zbl 1381.47077 Maz’ya, Vladimir (ed.) et al., Recent trends in operator theory and partial differential equations. The Roland Duduchava anniversary volume. Basel: Birkhäuser/Springer (ISBN 978-3-319-47077-1/hbk; 978-3-319-47079-5/ebook). Operator Theory: Advances and Applications 258, 145-171 (2017). MSC: 47L15 47G10 47L30 PDFBibTeX XMLCite \textit{E. Espinoza-Loyola} and \textit{Yu. I. Karlovich}, Oper. Theory: Adv. Appl. 258, 145--171 (2017; Zbl 1381.47077) Full Text: DOI
Del Magno, Gianluigi; Markarian, Roberto On the Bernoulli property of planar hyperbolic billiards. (English) Zbl 1381.37046 Commun. Math. Phys. 350, No. 3, 917-955 (2017). Reviewer: Anatoly Martynyuk (Kyïv) MSC: 37D50 70F35 37A25 PDFBibTeX XMLCite \textit{G. Del Magno} and \textit{R. Markarian}, Commun. Math. Phys. 350, No. 3, 917--955 (2017; Zbl 1381.37046) Full Text: DOI
Chang, K. C.; Shao, Sihong; Zhang, Dong Nodal domains of eigenvectors for 1-Laplacian on graphs. (English) Zbl 1366.35204 Adv. Math. 308, 529-574 (2017). MSC: 35R02 35J05 35P05 PDFBibTeX XMLCite \textit{K. C. Chang} et al., Adv. Math. 308, 529--574 (2017; Zbl 1366.35204) Full Text: DOI arXiv
Hackbusch, Wolfgang Theory and numerical analysis of elliptic differential equations. 4th revised edition. (Theorie und Numerik elliptischer Differentialgleichungen.) (German) Zbl 1360.65257 Heidelberg: Springer Spektrum (ISBN 978-3-658-15357-1/pbk; 978-3-658-15358-8/ebook). xiii, 400 p. (2017). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65Nxx 65-01 35-01 35Jxx 76D07 PDFBibTeX XMLCite \textit{W. Hackbusch}, Theorie und Numerik elliptischer Differentialgleichungen. 4th revised edition. Heidelberg: Springer Spektrum (2017; Zbl 1360.65257) Full Text: DOI
Radygin, V. M.; Polanskiĭ, I. S. Modified method of successive conformal mappings of polygonal domains. (Russian. English summary) Zbl 07606818 Vestn. Tomsk. Gos. Univ., Mat. Mekh. 2016, No. 1(39), 25-35 (2016). MSC: 65-XX 30-XX PDFBibTeX XMLCite \textit{V. M. Radygin} and \textit{I. S. Polanskiĭ}, Vestn. Tomsk. Gos. Univ., Mat. Mekh. 2016, No. 1(39), 25--35 (2016; Zbl 07606818) Full Text: DOI MNR
Tsvetkova, A. V. Distribution of energy of solutions of the wave equation on singular spaces of constant curvature and on a homogeneous tree. (English) Zbl 1364.35403 Russ. J. Math. Phys. 23, No. 4, 536-550 (2016). MSC: 35R02 35L05 35J05 35P05 PDFBibTeX XMLCite \textit{A. V. Tsvetkova}, Russ. J. Math. Phys. 23, No. 4, 536--550 (2016; Zbl 1364.35403) Full Text: DOI
Han, Zhong-Jie; Zuazua, Enrique Decay rates for \(1-d\) heat-wave planar networks. (English) Zbl 1355.35023 Netw. Heterog. Media 11, No. 4, 655-692 (2016). MSC: 35B40 35B07 93B07 93D20 78A05 35R02 PDFBibTeX XMLCite \textit{Z.-J. Han} and \textit{E. Zuazua}, Netw. Heterog. Media 11, No. 4, 655--692 (2016; Zbl 1355.35023) Full Text: DOI
Duczek, Sascha; Gabbert, Ulrich The finite cell method for polygonal meshes: poly-FCM. (English) Zbl 1398.65296 Comput. Mech. 58, No. 4, 587-618 (2016). MSC: 65N30 74S05 65N12 65D18 65N50 PDFBibTeX XMLCite \textit{S. Duczek} and \textit{U. Gabbert}, Comput. Mech. 58, No. 4, 587--618 (2016; Zbl 1398.65296) Full Text: DOI
Apel, Thomas; Nicaise, Serge; Pfefferer, Johannes Discretization of the Poisson equation with non-smooth data and emphasis on non-convex domains. (English) Zbl 1353.65117 Numer. Methods Partial Differ. Equations 32, No. 5, 1433-1454 (2016). Reviewer: Dana Černá (Liberec) MSC: 65N30 65N12 35J05 65N15 PDFBibTeX XMLCite \textit{T. Apel} et al., Numer. Methods Partial Differ. Equations 32, No. 5, 1433--1454 (2016; Zbl 1353.65117) Full Text: DOI arXiv
Wischerhoff, Marius; Plonka, Gerlind Reconstruction of polygonal shapes from sparse Fourier samples. (English) Zbl 1362.94012 J. Comput. Appl. Math. 297, 117-131 (2016). Reviewer: Manfred Tasche (Rostock) MSC: 94A12 42B10 65D20 PDFBibTeX XMLCite \textit{M. Wischerhoff} and \textit{G. Plonka}, J. Comput. Appl. Math. 297, 117--131 (2016; Zbl 1362.94012) Full Text: DOI
Abam, Mohammad Ali; Adeli, Marjan; Homapour, Hamid; Asadollahpoor, Pooya Zafar Geometric spanners for points inside a polygonal domain. (English) Zbl 1378.68143 Arge, Lars (ed.) et al., 31st international symposium on computational geometry, SoCG’15, Eindhoven, Netherlands, June 22–25, 2015. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik (ISBN 978-3-939897-83-5). LIPIcs – Leibniz International Proceedings in Informatics 34, 186-197 (2015). MSC: 68U05 05C85 PDFBibTeX XMLCite \textit{M. A. Abam} et al., LIPIcs -- Leibniz Int. Proc. Inform. 34, 186--197 (2015; Zbl 1378.68143) Full Text: DOI
Gopalakrishnan, Jay; Schöberl, Joachim Degree and wavenumber [in]dependence of Schwarz preconditioner for the DPG method. (English) Zbl 1352.65506 Kirby, Robert M. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2014. Selected papers from the ICOSAHOM conference, June 23–27, 2014, Salt Lake City, UT, USA. Cham: Springer (ISBN 978-3-319-19799-9/hbk; 978-3-319-19800-2/ebook). Lecture Notes in Computational Science and Engineering 106, 257-265 (2015). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 65N30 65F08 35J05 65N50 PDFBibTeX XMLCite \textit{J. Gopalakrishnan} and \textit{J. Schöberl}, Lect. Notes Comput. Sci. Eng. 106, 257--265 (2015; Zbl 1352.65506) Full Text: DOI
Tereshchenko, V. M.; Koriukalov, O. V. Searching shortest paths on a set of geometric objects. (Ukrainian. English summary) Zbl 1363.90030 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2015, No. 3, 131-140 (2015). MSC: 90B10 90B06 PDFBibTeX XMLCite \textit{V. M. Tereshchenko} and \textit{O. V. Koriukalov}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2015, No. 3, 131--140 (2015; Zbl 1363.90030)
Apel, Thomas; Mateos, Mariano; Pfefferer, Johannes; Rösch, Arnd On the regularity of the solutions of Dirichlet optimal control problems in polygonal domains. (English) Zbl 1330.49037 SIAM J. Control Optim. 53, No. 6, 3620-3641 (2015). MSC: 49N60 49N10 49J20 PDFBibTeX XMLCite \textit{T. Apel} et al., SIAM J. Control Optim. 53, No. 6, 3620--3641 (2015; Zbl 1330.49037) Full Text: DOI arXiv
Rukavishnikov, V. A.; Nikolaev, S. G. On the \(R_\nu\)-generalized solution of the Lamé system with corner singularity. (English. Russian original) Zbl 1328.35033 Dokl. Math. 92, No. 1, 421-423 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 463, No. 2, 137-139 (2015). MSC: 35J25 PDFBibTeX XMLCite \textit{V. A. Rukavishnikov} and \textit{S. G. Nikolaev}, Dokl. Math. 92, No. 1, 421--423 (2015; Zbl 1328.35033); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 463, No. 2, 137--139 (2015) Full Text: DOI
D’Urso, Maria Grazia; Marmo, Francesco Vertical stress distribution in isotropic half-spaces due to surface vertical loadings acting over polygonal domains. (English) Zbl 1322.74052 ZAMM, Z. Angew. Math. Mech. 95, No. 1 (2015). MSC: 74L10 74G70 74S05 PDFBibTeX XML Full Text: DOI
Mimura, Yoshifumi A priori bounds of stationary solutions of two dimensional Keller-Segel system on polygonal domains. (English) Zbl 1340.35050 Differ. Integral Equ. 28, No. 3-4, 347-360 (2015). Reviewer: Ramzet M. Dzhafarov (Donetsk) MSC: 35J61 35J25 35B45 92C17 35B44 PDFBibTeX XMLCite \textit{Y. Mimura}, Differ. Integral Equ. 28, No. 3--4, 347--360 (2015; Zbl 1340.35050)
Ali-Ziane, Tarik; Ferhoune, Zahia; Zair, Ouahiba Null controllability for the semilinear heat equation in a non-smooth domain. (Nulle contrôlanilité d’équation de la chaleur semilinéaire dans un domaine non régulier.) (English. French summary) Zbl 1307.93065 C. R., Math., Acad. Sci. Paris 353, No. 3, 229-234 (2015). MSC: 93B05 93C20 35K05 47N20 PDFBibTeX XMLCite \textit{T. Ali-Ziane} et al., C. R., Math., Acad. Sci. Paris 353, No. 3, 229--234 (2015; Zbl 1307.93065) Full Text: DOI
Barrett, John W.; Prigozhin, Leonid Sandpiles and superconductors: Nonconforming linear finite element approximations for mixed formulations of quasi-variational inequalities. (English) Zbl 1312.65105 IMA J. Numer. Anal. 35, No. 1, 1-38 (2015). Reviewer: Jan Lovíšek (Bratislava) MSC: 65K15 49N15 49J40 49M25 PDFBibTeX XMLCite \textit{J. W. Barrett} and \textit{L. Prigozhin}, IMA J. Numer. Anal. 35, No. 1, 1--38 (2015; Zbl 1312.65105) Full Text: DOI arXiv
Cohen, Michael B.; Fasy, Brittany Terese; Miller, Gary L.; Nayyeri, Amir; Peng, Richard; Walkington, Noel Solving 1-Laplacians in nearly linear time: collapsing and expanding a topological ball. (English) Zbl 1428.65070 Chekuri, Chandra (ed.), Proceedings of the 25th annual ACM-SIAM symposium on discrete algorithms, SODA 2014, Portland, OR, USA, January 5–7, 2014. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM); New York, NY: Association for Computing Machinery (ACM). 204-216 (2014). MSC: 65N22 65N55 35R02 65F10 65F08 65F35 05C50 PDFBibTeX XMLCite \textit{M. B. Cohen} et al., in: Proceedings of the 25th annual ACM-SIAM symposium on discrete algorithms, SODA 2014, Portland, OR, USA, January 5--7, 2014. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM); New York, NY: Association for Computing Machinery (ACM). 204--216 (2014; Zbl 1428.65070) Full Text: DOI Link
Lu, Zhiqin; Rowlett, Julie The fundamental gap and one-dimensional collapse. (English) Zbl 1349.35300 Albin, Pierre (ed.) et al., Geometric and spectral analysis. CRM workshops on ‘Geometry of eigenvalues and eigenfunctions, June 4–8, 2012’, ‘Manifolds of metrics and probabilistic methods in geometry and analysis’, July 2–6, 2012, ‘Spectral invariants on non-compact and singular spaces’, July 23–27, 2012, Centre de Recherches Mathématiques, Montréal, Canada. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1043-8/pbk; 978-1-4704-2059-8/ebook). Contemporary Mathematics 630. Centre de Recherches Mathématiques Proceedings, 223-246 (2014). MSC: 35Q35 58J50 76Q05 35P15 PDFBibTeX XMLCite \textit{Z. Lu} and \textit{J. Rowlett}, Contemp. Math. 630, 223--246 (2014; Zbl 1349.35300) Full Text: DOI
Castro, Luís P.; Duduchava, Roland; Speck, Frank-Olme Diffraction from polygonal-conical screens, an operator approach. (English) Zbl 1322.78008 Bastos, M. Amélia (ed.) et al., Operator theory, operator algebras and applications. Selected papers based on the presentations at the workshop WOAT 2012, Lisbon, Portugal, September 11–14, 2012. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0815-6/hbk; 978-3-0348-0816-3/ebook). Operator Theory: Advances and Applications 242, 113-137 (2014). MSC: 78A45 47G30 PDFBibTeX XMLCite \textit{L. P. Castro} et al., Oper. Theory: Adv. Appl. 242, 113--137 (2014; Zbl 1322.78008) Full Text: DOI Link
Aichholzer, Oswin; Hackl, Thomas; Korman, Matias; Pilz, Alexander; Vogtenhuber, Birgit Geodesic-preserving polygon simplification. (English) Zbl 1331.68239 Int. J. Comput. Geom. Appl. 24, No. 4, 307-323 (2014). MSC: 68U05 68P05 PDFBibTeX XMLCite \textit{O. Aichholzer} et al., Int. J. Comput. Geom. Appl. 24, No. 4, 307--323 (2014; Zbl 1331.68239) Full Text: DOI arXiv
Menezes, Ana A half-space theorem for ideal Scherk graphs in \(M \times \mathbb R\). (English) Zbl 1309.53005 Mich. Math. J. 63, No. 4, 675-685 (2014). MSC: 53A10 53C42 PDFBibTeX XMLCite \textit{A. Menezes}, Mich. Math. J. 63, No. 4, 675--685 (2014; Zbl 1309.53005) Full Text: DOI arXiv Euclid
Lindner, Felix Singular behavior of the solution to the stochastic heat equation on a polygonal domain. (English) Zbl 1306.60090 Stoch. Partial Differ. Equ., Anal. Comput. 2, No. 2, 146-195 (2014). MSC: 60H15 35B65 35R60 46E35 PDFBibTeX XMLCite \textit{F. Lindner}, Stoch. Partial Differ. Equ., Anal. Comput. 2, No. 2, 146--195 (2014; Zbl 1306.60090) Full Text: DOI arXiv
Aleksanyan, Hayk; Shahgholian, Henrik; Sjölin, Per Applications of Fourier analysis in homogenization of Dirichlet problem. III: Polygonal domains. (English) Zbl 1331.35030 J. Fourier Anal. Appl. 20, No. 3, 524-546 (2014). MSC: 35B27 42B20 PDFBibTeX XMLCite \textit{H. Aleksanyan} et al., J. Fourier Anal. Appl. 20, No. 3, 524--546 (2014; Zbl 1331.35030) Full Text: DOI arXiv
Guo, Ben-Yu; Yu, Xu-Hong Composite spectral method for exterior problems with polygonal obstacles. (English) Zbl 1304.65255 J. Sci. Comput. 59, No. 2, 439-472 (2014). MSC: 65N35 35J25 65N55 65N12 PDFBibTeX XMLCite \textit{B.-Y. Guo} and \textit{X.-H. Yu}, J. Sci. Comput. 59, No. 2, 439--472 (2014; Zbl 1304.65255) Full Text: DOI
Cheng, Xiaoliang; Zheng, Xuan An iterative algorithm for elliptic variational inequalities of the second kind. (English) Zbl 1298.65106 Int. J. Comput. Math. 91, No. 3, 480-489 (2014). Reviewer: Jan Lovíšek (Bratislava) MSC: 65K15 49J40 49M25 74M10 74M15 74S05 PDFBibTeX XMLCite \textit{X. Cheng} and \textit{X. Zheng}, Int. J. Comput. Math. 91, No. 3, 480--489 (2014; Zbl 1298.65106) Full Text: DOI
Cangiani, Andrea; Georgoulis, Emmanuil H.; Houston, Paul \(hp\)-version discontinuous Galerkin methods on polygonal and polyhedral meshes. (English) Zbl 1298.65167 Math. Models Methods Appl. Sci. 24, No. 10, 2009-2041 (2014). Reviewer: Constantin Popa (Constanţa) MSC: 65N30 65N50 65N55 35J05 PDFBibTeX XMLCite \textit{A. Cangiani} et al., Math. Models Methods Appl. Sci. 24, No. 10, 2009--2041 (2014; Zbl 1298.65167) Full Text: DOI
Mazzucato, Anna L.; Nistor, Victor; Qu, Qingqin Quasi-optimal rates of convergence for the generalized finite element method in polygonal domains. (English) Zbl 1295.65115 J. Comput. Appl. Math. 263, 466-477 (2014). MSC: 65N30 35J25 65N12 65N15 35R05 PDFBibTeX XMLCite \textit{A. L. Mazzucato} et al., J. Comput. Appl. Math. 263, 466--477 (2014; Zbl 1295.65115) Full Text: DOI
Bassi, Francesco; Botti, Lorenzo; Colombo, Alessandro Agglomeration-based physical frame dG discretizations: an attempt to be mesh free. (English) Zbl 1291.65335 Math. Models Methods Appl. Sci. 24, No. 8, 1495-1539 (2014). MSC: 65N30 65N50 65N55 PDFBibTeX XMLCite \textit{F. Bassi} et al., Math. Models Methods Appl. Sci. 24, No. 8, 1495--1539 (2014; Zbl 1291.65335) Full Text: DOI
Davis, Christopher-Ian Raphaël; Fornberg, Bengt A spectrally accurate numerical implementation of the Fokas transform method for Helmholtz-type PDEs. (English) Zbl 1291.65083 Complex Var. Elliptic Equ. 59, No. 4, 564-577 (2014). MSC: 65E05 65R10 35C15 31A10 35J25 PDFBibTeX XMLCite \textit{C.-I. R. Davis} and \textit{B. Fornberg}, Complex Var. Elliptic Equ. 59, No. 4, 564--577 (2014; Zbl 1291.65083) Full Text: DOI
Bayili, Gilbert; Sawadogo, Somdouda; Traoré, Oumar; Gouba, Elisée Cancellation of the singularities of the heat equation restricted to a finite bandwich. (English) Zbl 1295.35012 Afr. Diaspora J. Math. 16, No. 1, 82-89 (2013). MSC: 35A20 35B65 35K05 PDFBibTeX XMLCite \textit{G. Bayili} et al., Afr. Diaspora J. Math. 16, No. 1, 82--89 (2013; Zbl 1295.35012) Full Text: Euclid
Wu, Yu Mao; Jiang, Li Jun; Chew, Weng Cho Computing highly oscillatory physical optics integral on the polygonal domain by an efficient numerical steepest descent path method. (English) Zbl 1286.78007 J. Comput. Phys. 236, 408-425 (2013). MSC: 78M25 42B20 PDFBibTeX XMLCite \textit{Y. M. Wu} et al., J. Comput. Phys. 236, 408--425 (2013; Zbl 1286.78007) Full Text: DOI
De Coster, Colette; Nicaise, Serge Lower and upper solutions for the heat equation on a polygonal domain of \(\mathbb {R}^2\). (English) Zbl 1299.35176 Differ. Integral Equ. 26, No. 5-6, 603-622 (2013). Reviewer: Hana Petzeltova (Praha) MSC: 35K58 35B65 PDFBibTeX XMLCite \textit{C. De Coster} and \textit{S. Nicaise}, Differ. Integral Equ. 26, No. 5--6, 603--622 (2013; Zbl 1299.35176)
Bae, Sang Won; Korman, Matias; Okamoto, Yoshio The geodesic diameter of polygonal domains. (English) Zbl 1298.52013 Discrete Comput. Geom. 50, No. 2, 306-329 (2013). MSC: 52B05 53C22 58E10 68Q25 PDFBibTeX XMLCite \textit{S. W. Bae} et al., Discrete Comput. Geom. 50, No. 2, 306--329 (2013; Zbl 1298.52013) Full Text: DOI arXiv
Wollner, Winnifried A priori error estimates for optimal control problems with constraints on the gradient of the state on nonsmooth polygonal domains. (English) Zbl 1272.49054 Bredies, Kristian (ed.) et al., Control and optimization with PDE constraints. Based on the international workshop on control and optimization of PDEs, Mariatrost, Austria, October 10–14, 2011. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0630-5/hbk; 978-3-0348-0631-2/ebook). ISNM. International Series of Numerical Mathematics 164, 193-215 (2013). MSC: 49M25 65N30 65N12 PDFBibTeX XMLCite \textit{W. Wollner}, ISNM, Int. Ser. Numer. Math. 164, 193--215 (2013; Zbl 1272.49054) Full Text: DOI
Gugat, M.; Sokolowski, J. A note on the approximation of Dirichlet boundary control problems for the wave equation on curved domains. (English) Zbl 1273.49009 Appl. Anal. 92, No. 10, 2200-2214 (2013). Reviewer: Gheorghe Aniculăesei (Iaşi) MSC: 49J20 35L05 35L53 PDFBibTeX XMLCite \textit{M. Gugat} and \textit{J. Sokolowski}, Appl. Anal. 92, No. 10, 2200--2214 (2013; Zbl 1273.49009) Full Text: DOI
Shel, Farhat Exponential stability of a network of elastic and thermoelastic materials. (English) Zbl 1267.35241 Math. Methods Appl. Sci. 36, No. 8, 869-879 (2013). MSC: 35R02 35B40 35L05 35M33 93D20 PDFBibTeX XMLCite \textit{F. Shel}, Math. Methods Appl. Sci. 36, No. 8, 869--879 (2013; Zbl 1267.35241) Full Text: DOI
Ammari, Kaïs; Mercier, Denis; Régnier, Virginie; Valein, Julie Spectral analysis and stabilization of a chain of serially connected Euler-Bernoulli beams and strings. (English) Zbl 1264.35032 Commun. Pure Appl. Anal. 11, No. 2, 785-807 (2012). MSC: 35B35 35R02 47A10 93D15 93D20 74K10 74K05 PDFBibTeX XMLCite \textit{K. Ammari} et al., Commun. Pure Appl. Anal. 11, No. 2, 785--807 (2012; Zbl 1264.35032) Full Text: DOI arXiv
Gerasimov, Tymofiy; Stylianou, Athanasios; Sweers, Guido Corners give problems when decoupling fourth order equations into second order systems. (English) Zbl 1260.35040 SIAM J. Numer. Anal. 50, No. 3, 1604-1623 (2012). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 35J40 35J50 74G15 74K20 PDFBibTeX XMLCite \textit{T. Gerasimov} et al., SIAM J. Numer. Anal. 50, No. 3, 1604--1623 (2012; Zbl 1260.35040) Full Text: DOI
Ku, Jaeun; Schatz, Alfred H. Local a posteriori estimates on a nonconvex polygonal domain. (English) Zbl 1251.65160 SIAM J. Numer. Anal. 50, No. 2, 906-924 (2012). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{J. Ku} and \textit{A. H. Schatz}, SIAM J. Numer. Anal. 50, No. 2, 906--924 (2012; Zbl 1251.65160) Full Text: DOI
Bae, Sang Won; Okamoto, Yoshio Querying two boundary points for shortest paths in a polygonal domain. (English) Zbl 1266.65033 Comput. Geom. 45, No. 7, 284-293 (2012). Reviewer: Jason Hanson (Redmond) MSC: 65D18 68U05 PDFBibTeX XMLCite \textit{S. W. Bae} and \textit{Y. Okamoto}, Comput. Geom. 45, No. 7, 284--293 (2012; Zbl 1266.65033) Full Text: DOI
Wachs, Anthony PeliGRIFF, a parallel DEM-DLM/FD direct numerical simulation tool for 3D particulate flows. (English) Zbl 1269.76088 J. Eng. Math. 71, No. 1, 131-155 (2011). MSC: 76M25 76T20 65Y05 PDFBibTeX XMLCite \textit{A. Wachs}, J. Eng. Math. 71, No. 1, 131--155 (2011; Zbl 1269.76088) Full Text: DOI
De Coster, Colette; Nicaise, Serge Singular behavior of the solution of the Cauchy-Dirichlet heat equation in weighted \(L^p\)-Sobolev spaces. (English) Zbl 1235.35059 Bull. Belg. Math. Soc. - Simon Stevin 18, No. 5, 769-780 (2011). MSC: 35B65 35K05 35K20 PDFBibTeX XMLCite \textit{C. De Coster} and \textit{S. Nicaise}, Bull. Belg. Math. Soc. - Simon Stevin 18, No. 5, 769--780 (2011; Zbl 1235.35059) Full Text: Euclid
Fornberg, Bengt; Flyer, Natasha A numerical implementation of Fokas boundary integral approach: Laplace’s equation on a polygonal domain. (English) Zbl 1226.65099 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 467, No. 2134, 2983-3003 (2011). MSC: 65N38 35J05 PDFBibTeX XMLCite \textit{B. Fornberg} and \textit{N. Flyer}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 467, No. 2134, 2983--3003 (2011; Zbl 1226.65099) Full Text: DOI
Brenner, S. C.; Cui, J.; Gudi, T.; Sung, L.-Y. Multigrid algorithms for symmetric discontinuous Galerkin methods on graded meshes. (English) Zbl 1229.65224 Numer. Math. 119, No. 1, 21-47 (2011). Reviewer: Gisbert Stoyan (Budapest) MSC: 65N55 65N30 65N50 35J05 65N15 65N12 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., Numer. Math. 119, No. 1, 21--47 (2011; Zbl 1229.65224) Full Text: DOI
Lindner, Felix Approximation and regularity of stochastic PDEs. (English) Zbl 1260.60003 Berichte aus der Mathematik. Aachen: Shaker Verlag; Dresden: Univ. Dresden, Fakultät Mathematik und Naturwissenschaften (Diss.) (ISBN 978-3-8440-0172-3/pbk). ii, 141 p. (2011). MSC: 60-02 60H15 60H35 60G51 46E35 PDFBibTeX XMLCite \textit{F. Lindner}, Approximation and regularity of stochastic PDEs. Aachen: Shaker Verlag; Dresden: Univ. Dresden, Fakultät Mathematik und Naturwissenschaften (Diss.) (2011; Zbl 1260.60003) Full Text: Link