Russo, Alessandro; Sukumar, N. Quantitative study of the stabilization parameter in the virtual element method. (English) Zbl 07925998 Beirão da Veiga, Hugo (ed.) et al., Nonlinear differential equations and applications. Portugal-Italy conference on NDEA, Évora, Portugal, July 4–6, 2022. Cham: Springer. CIM Ser. Math. Sci 7, 259-278 (2024). MSC: 65N30 65N12 35B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Licht, Martin W. Symmetry and invariant bases in finite element exterior calculus. (English) Zbl 1545.65439 Found. Comput. Math. 24, No. 4, 1185-1224 (2024). MSC: 65N30 20C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dieci, L.; Difonzo, Fabio V.; Sukumar, N. Nonnegative moment coordinates on finite element geometries. (English) Zbl 1544.65043 Math. Eng. (Springfield) 6, No. 1, Paper No. 4, 99 p. (2024). MSC: 65D18 65N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Qin, Kaikai; Li, Yajuan; Deng, Chongyang Generalized Bézier volumes over simple convex polyhedra. (English) Zbl 07873113 Comput. Aided Geom. Des. 111, Article ID 102338, 24 p. (2024). MSC: 65D17 × Cite Format Result Cite Review PDF Full Text: DOI
Tran, Quang Hung Some applications of signed distances in triangles and circles. (English) Zbl 1527.51006 Beitr. Algebra Geom. 64, No. 4, 877-886 (2023). Reviewer: Cătălin Barbu (Bačau) MSC: 51M04 51M16 51M25 × Cite Format Result Cite Review PDF Full Text: DOI
Maehara, Hiroshi; Martini, Horst An analytic proof of a theorem of Grace. (English) Zbl 1526.51009 J. Geom. 114, No. 3, Paper No. 27, 10 p. (2023). MSC: 51M04 52A15 52B10 × Cite Format Result Cite Review PDF Full Text: DOI
Katsuura, Hidefumi Three collinear points generated by a tetrahedron. (English) Zbl 1521.51006 J. Geom. Graph. 27, No. 1, 29-37 (2023). MSC: 51M04 51M25 × Cite Format Result Cite Review PDF Full Text: Link
Moses, Peter J. C.; Kimberling, Clark Bivariate coordinate systems in triangle geometry. (English) Zbl 1518.51019 J. Geom. 114, No. 1, Paper No. 4, 23 p. (2023). MSC: 51N20 51M15 × Cite Format Result Cite Review PDF Full Text: DOI
Deng, Chongyang; Lai, Ming-Jun On locality of harmonic generalized barycentric coordinates and their application to solution of the Poisson equation. (English) Zbl 1514.65168 Pure Appl. Funct. Anal. 8, No. 2, 477-501 (2023). MSC: 65N30 65N12 35D35 35J15 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Kimberling, Clark; Moses, Peter J. C. Line conjugates in the plane of a triangle. (English) Zbl 1511.51015 Aequationes Math. 97, No. 1, 161-184 (2023). Reviewer: Victor V. Pambuccian (Glendale) MSC: 51N20 51M15 × Cite Format Result Cite Review PDF Full Text: DOI
Aksamit, Nikolas Olson Mapping the shape and dimension of three-dimensional Lagrangian coherent structures and invariant manifolds. (English) Zbl 1536.76013 J. Fluid Mech. 958, Paper No. A11, 22 p. (2023). MSC: 76A99 76D05 76F10 76M27 × Cite Format Result Cite Review PDF Full Text: DOI
Arbogast, Todd; Wang, Chuning Direct serendipity and mixed finite elements on convex polygons. (English) Zbl 1507.65229 Numer. Algorithms 92, No. 2, 1451-1483 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N50 65N12 65D05 58A12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bensad, Alaa eddine; Ikemakhen, Aziz A general construction of spherical barycentric coordinates and applications. (English) Zbl 1524.65091 J. Comput. Appl. Math. 422, Article ID 114945, 14 p. (2023). MSC: 65D18 65D17 68U05 × Cite Format Result Cite Review PDF Full Text: DOI
Jhong, Jae-Hwan; Bak, Kwan-Young; Koo, Ja-Yong Penalized polygram regression. (English) Zbl 07643159 J. Korean Stat. Soc. 51, No. 4, 1161-1192 (2022). MSC: 62-XX × Cite Format Result Cite Review PDF Full Text: DOI
Labeurthre, David; Calloo, Ansar; Le Tellier, Romain High-order Wachspress functions on convex polygons through computer algebra. (English) Zbl 07599598 J. Comput. Phys. 470, Article ID 111545, 17 p. (2022). MSC: 65Nxx 65Dxx 74Sxx × Cite Format Result Cite Review PDF Full Text: DOI
Belyaev, A. G.; Fayolle, P.-A. Transfinite barycentric interpolation via Dirichlet energy minimization for conical surfaces. (English. Russian original) Zbl 1500.65002 Comput. Math. Math. Phys. 62, No. 8, 1234-1251 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 8, 1269-1287 (2022). MSC: 65D05 65D18 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Xinjiang; Wang, Yanqiu A conforming quadratic polygonal element and its application to Stokes equations. (English) Zbl 1499.65649 J. Comput. Math. 40, No. 4, 628-652 (2022). MSC: 65N30 65N12 76D07 76M10 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Bensad, Alaa eddine; Ikemakhen, Aziz Hyperbolic barycentric coordinates and applications. (English) Zbl 1493.65041 Comput. Aided Geom. Des. 95, Article ID 102086, 14 p. (2022). MSC: 65D18 × Cite Format Result Cite Review PDF Full Text: DOI
Cao, Juan; Xiao, Yi; Xiao, Yanyang; Chen, Zhonggui; Xue, Fei; Wei, Xiaodong; Zhang, Yongjie Jessica Quadratic serendipity element shape functions on general planar polygons. (English) Zbl 1507.65264 Comput. Methods Appl. Mech. Eng. 392, Article ID 114703, 28 p. (2022). MSC: 65N50 × Cite Format Result Cite Review PDF Full Text: DOI
Vince, John Mathematics for computer graphics. 6th edition. (English) Zbl 1500.68003 Undergraduate Topics in Computer Science. London: Springer (ISBN 978-1-4471-7519-3/pbk; 978-1-4471-7520-9/ebook). xxii, 564 p. (2022). Reviewer: Agnieszka Lisowska (Sosnowiec) MSC: 68-01 68U05 × Cite Format Result Cite Review PDF Full Text: DOI
Lai, Ming-Jun; Lanterman, James Construction of \(C^1\) polygonal splines over quadrilateral partitions. (English) Zbl 07483501 Comput. Aided Geom. Des. 92, Article ID 102063, 42 p. (2022). MSC: 65Dxx × Cite Format Result Cite Review PDF Full Text: DOI
Kiss, Sándor Nagydobai; Moses, Peter J. C.; Kimberling, Clark Properties of the Kiss-Bíró configuration. (English) Zbl 1481.51015 J. Geom. 113, No. 1, Paper No. 10, 23 p. (2022). Reviewer: Victor V. Pambuccian (Glendale) MSC: 51N20 51M15 51M04 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, U-Rae; Han, Wooyong; Jung, Dong-Won; Lee, Jungil; Yu, Chaehyun Reply to comment on “Electrostatic potential of a uniformly charged triangle in barycentric coordinates”. (English) Zbl 1515.78009 Eur. J. Phys. 42, No. 6, Article ID 068002, 4 p. (2021). MSC: 78A30 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, U-Rae; Han, Wooyong; Jung, Dong-Won; Lee, Jungil; Yu, Chaehyun Electrostatic potential of a uniformly charged triangle in barycentric coordinates. (English) Zbl 1545.78004 Eur. J. Phys. 42, No. 4, Article ID 045205, 24 p. (2021). MSC: 78A30 78A35 31A15 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Dalcín, Mario; Kiss, Sándor Nagydobai Some properties of the García reflection triangles. (English) Zbl 1480.51007 J. Geom. Graph. 25, No. 1, 119-126 (2021). Reviewer: Antonin Guilloux (Paris) MSC: 51N20 51M25 × Cite Format Result Cite Review PDF Full Text: Link
Dell’Accio, Francesco; Di Tommaso, Filomena; Nouisser, Otheman; Siar, Najoua Solving Poisson equation with Dirichlet conditions through multinode Shepard operators. (English) Zbl 1524.65051 Comput. Math. Appl. 98, 254-260 (2021). MSC: 65D05 65N35 41A05 41A63 × Cite Format Result Cite Review PDF Full Text: DOI
Cătinaş, Teodora Nielson interpolation operators on an arbitrary triangle with one curved side. (English) Zbl 1471.41002 BIT 61, No. 3, 757-770 (2021). MSC: 41A05 41A25 41A80 × Cite Format Result Cite Review PDF Full Text: DOI
Il’inskiĭ, Anatoliĭ Serafimovich; Polyanskiĭ, Ivan Sergeevich; Stepanov, Dmitriĭ Evgen’evich On the convergence of the barycentric method in solving internal Dirichlet and Neumann problems in \(\mathbb{R}^2\) for the Helmholtz equation. (Russian. English summary) Zbl 1480.65338 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 31, No. 1, 3-18 (2021). MSC: 65N30 35J05 65N12 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Dell’Accio, Francesco; Di Tommaso, Filomena; Siar, Najoua On the numerical computation of bivariate Lagrange polynomials. (English) Zbl 1469.65064 Appl. Math. Lett. 112, Article ID 106845, 9 p. (2021). MSC: 65D20 65D05 × Cite Format Result Cite Review PDF Full Text: DOI
Kimberling, Clark; Moses, Peter J. C. Permutation ellipses. (English) Zbl 1469.51022 J. Geom. Graph. 24, No. 2, 233-247 (2020). Reviewer: Victor V. Pambuccian (Glendale) MSC: 51N20 51N15 × Cite Format Result Cite Review PDF Full Text: Link
Suren; Moses, Peter J. C.; Kimberling, Clark The Circumcevian-inversion perspector of two triangles. (English) Zbl 1469.51023 J. Geom. Graph. 24, No. 2, 217-232 (2020). Reviewer: Victor V. Pambuccian (Glendale) MSC: 51N20 51N15 × Cite Format Result Cite Review PDF Full Text: Link
Kohn, Kathlén; Ranestad, Kristian Projective geometry of Wachspress coordinates. (English) Zbl 1451.14131 Found. Comput. Math. 20, No. 5, 1135-1173 (2020). Reviewer: Piotr Pokora (Kraków) MSC: 14J70 52B10 52B11 52C35 14N20 14N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kimberling, Clark; Moses, Peter J. C. Mappings from the plane of a triangle to a circumconic. (English) Zbl 1451.51010 J. Geom. Graph. 24, No. 1, 35-47 (2020). Reviewer: Hans-Peter Schröcker (Innsbruck) MSC: 51N20 51N15 51M04 × Cite Format Result Cite Review PDF Full Text: Link
Salamatova, V. Yu.; Liogky, A. A. Method of hyperelastic nodal forces for deformation of nonlinear membranes. (English. Russian original) Zbl 1447.74028 Differ. Equ. 56, No. 7, 950-958 (2020); translation from Differ. Uravn. 56, No. 7, 975-983 (2020). MSC: 74K15 74S05 74G65 74B20 × Cite Format Result Cite Review PDF Full Text: DOI
Deng, Chongyang; Fan, Xiali; Lai, Ming-Jun A minimization approach for constructing generalized barycentric coordinates and its computation. (English) Zbl 07219844 J. Sci. Comput. 84, No. 1, Paper No. 11, 25 p. (2020). MSC: 65Kxx 34Axx × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Weizhang; Wang, Yanqiu Anisotropic mesh quality measures and adaptation for polygonal meshes. (English) Zbl 1436.65200 J. Comput. Phys. 410, Article ID 109368, 33 p. (2020). MSC: 65N50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kimberling, Clark; Moses, Peter Self-inverse Gemini triangles. (English) Zbl 1449.51027 Int. J. Geom. 9, No. 1, 25-39 (2020). MSC: 51N15 51N20 × Cite Format Result Cite Review PDF Full Text: Link
Deng, Chongyang; Chang, Qingjun; Hormann, Kai Iterative coordinates. (English) Zbl 1505.65120 Comput. Aided Geom. Des. 79, Article ID 101861, 12 p. (2020). MSC: 65D18 65D05 68U05 × Cite Format Result Cite Review PDF Full Text: DOI
Kimberling, Clark Polynomial triangle centers on the line at infinity. (English) Zbl 1442.51007 J. Geom. 111, No. 1, Paper No. 10, 11 p. (2020). Reviewer: Sándor Nagydobai Kiss (Satu Mare) MSC: 51N20 51N15 × Cite Format Result Cite Review PDF Full Text: DOI
Bishop, Joseph E.; Sukumar, N. Polyhedral finite elements for nonlinear solid mechanics using tetrahedral subdivisions and dual-cell aggregation. (English) Zbl 1470.74061 Comput. Aided Geom. Des. 77, Article ID 101812, 24 p. (2020). MSC: 74S05 74C15 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Zhihao; Li, Yajuan; Ma, Weiyin; Deng, Chongyang Positive and smooth Gordon-Wixom coordinates. (English) Zbl 1505.65143 Comput. Aided Geom. Des. 74, Article ID 101774, 9 p. (2019). MSC: 65D18 68U05 × Cite Format Result Cite Review PDF Full Text: DOI
Hettinga, Gerben J.; Brals, René; Kosinka, Jiří Colour interpolants for polygonal gradient meshes. (English) Zbl 1505.65122 Comput. Aided Geom. Des. 74, Article ID 101769, 15 p. (2019). MSC: 65D18 65D05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Lukarevski, Martin; Marinescu, Dan Stefan A refinement of the Kooi’s inequality, Mittenpunkt and applications. (English) Zbl 1429.51006 J. Math. Inequal. 13, No. 3, Article No. 13-57, 827-832 (2019). MSC: 51M16 51M04 × Cite Format Result Cite Review PDF Full Text: DOI
Tao, Jiong; Deng, Bailin; Zhang, Juyong A fast numerical solver for local barycentric coordinates. (English) Zbl 1465.65011 Comput. Aided Geom. Des. 70, 46-58 (2019). MSC: 65D05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Il’inskii, A. S.; Polyanskii, I. S. An approximate method for determining the harmonic barycentric coordinates for arbitrary polygons. (English. Russian original) Zbl 1430.45006 Comput. Math. Math. Phys. 59, No. 3, 366-383 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 3, 391-408 (2019). Reviewer: Josef Kofroň (Praha) MSC: 45L05 65R20 × Cite Format Result Cite Review PDF Full Text: DOI
Koncul, Helena Isotomic transformation with respect to a family of triangles. (English) Zbl 1400.51026 Cocchiarella, Luigi (ed.), ICGG 2018 – Proceedings of the 18th international conference on geometry and graphics. 40th anniversary – Milan, Italy, August 3–7, 2018. In 2 volumes. Cham: Springer; Milan: Politecnico de Milano (ISBN 978-3-319-95587-2/pbk; 978-3-319-95588-9/ebook). Advances in Intelligent Systems and Computing 809, 290-297 (2019). MSC: 51N05 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Fangjian; Li, Yi Parameterized inequalities about a point in the plane of a triangle. (English) Zbl 1416.51017 J. Math. Inequal. 12, No. 4, 953-960 (2018). Reviewer: Martin Lukarevski (Skopje) MSC: 51M16 × Cite Format Result Cite Review PDF Full Text: DOI
Cao, Juan; Xiao, Yanyang; Chen, Zhonggui; Wang, Wenping; Bajaj, Chandrajit Functional data approximation on bounded domains using polygonal finite elements. (English) Zbl 1441.65018 Comput. Aided Geom. Des. 63, 149-163 (2018). MSC: 65D10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Hettinga, Gerben J.; Kosinka, Jiří Multisided generalisations of Gregory patches. (English) Zbl 1505.65063 Comput. Aided Geom. Des. 62, 166-180 (2018). MSC: 65D17 65D05 × Cite Format Result Cite Review PDF Full Text: DOI
Belyaev, Alexander; Fayolle, Pierre-Alain On modified Gordon-Wixom interpolation schemes and their applications to nonlinear and exterior domain problems. (English) Zbl 1492.65032 Numer. Algorithms 77, No. 3, 691-708 (2018). MSC: 65D05 41A05 × Cite Format Result Cite Review PDF Full Text: DOI
Vermolen, F. J.; Segal, A. On an integration rule for products of barycentric coordinates over simplexes in \(\mathbb{R}^n\). (English) Zbl 1379.65090 J. Comput. Appl. Math. 330, 289-294 (2018). MSC: 65N30 65N38 × Cite Format Result Cite Review PDF Full Text: DOI Backlinks: MO
Baskar, A. Analysing a few trigonometric solutions for the Fermat-Weber facility location triangle problem with and without repulsion and generalising the solutions. (English) Zbl 1453.90093 Int. J. Math. Oper. Res. 10, No. 2, 150-166 (2017). MSC: 90B80 × Cite Format Result Cite Review PDF Full Text: DOI
Deng, Chongyang; Shi, Feifan The monotonicity of a family of barycentric coordinates for quadrilaterals. (English) Zbl 1418.65020 Comput. Aided Geom. Des. 51, 1-3 (2017). MSC: 65D17 × Cite Format Result Cite Review PDF Full Text: DOI
Lai, Ming-Jun; Lanterman, James A polygonal spline method for general second-order elliptic equations and its applications. (English) Zbl 1385.65058 Fasshauer, Gregory E. (ed.) et al., Approximation theory XV: San Antonio 2016. Selected papers based on the presentations at the international conference, San Antonio, TX, USA, May 22–25, 2016. Cham: Springer (ISBN 978-3-319-59911-3/hbk; 978-3-319-59912-0/ebook). Springer Proceedings in Mathematics & Statistics 201, 119-154 (2017). MSC: 65N30 35J25 65N12 35M10 × Cite Format Result Cite Review PDF Full Text: DOI
Tóth, Ákos Comparison and affine combination of generalized barycentric coordinates for convex polygons. (English) Zbl 1399.52027 Ann. Math. Inform. 47, 185-200 (2017). MSC: 52B55 52A38 65D05 52A10 × Cite Format Result Cite Review PDF Full Text: Link
Zulian, Patrick; Schneider, Teseo; Hormann, Kai; Krause, Rolf Parametric finite elements with bijective mappings. (English) Zbl 1381.65093 BIT 57, No. 4, 1185-1203 (2017). MSC: 65N30 35J05 65N50 × Cite Format Result Cite Review PDF Full Text: DOI
Vince, John Mathematics for computer graphics. 5th edition. (English) Zbl 1375.68005 Undergraduate Topics in Computer Science. London: Springer (ISBN 978-1-4471-7334-2/pbk; 978-1-4471-7336-6/ebook). xix, 505 p. (2017). MSC: 68-01 68U05 × Cite Format Result Cite Review PDF Full Text: DOI
Anisimov, Dmitry; Panozzo, Daniele; Hormann, Kai Blended barycentric coordinates. (English) Zbl 1366.65037 Comput. Aided Geom. Des. 52-53, 205-216 (2017). MSC: 65D18 × Cite Format Result Cite Review PDF Full Text: DOI
Hormann, Kai; Kosinka, Jiří Discretizing Wachspress kernels is safe. (English) Zbl 1366.65021 Comput. Aided Geom. Des. 52-53, 126-134 (2017). MSC: 65D17 × Cite Format Result Cite Review PDF Full Text: DOI
Marinescu, Dan Stefan; Monea, Mihai About a strengthened version of Erdős-Mordell inequality. (English) Zbl 1373.51011 Forum Geom. 17, 197-202 (2017). Reviewer: Mowaffaq Hajja (Amman) MSC: 51M04 51M15 × Cite Format Result Cite Review PDF Full Text: Link
Nowicka, Monika; Witkowski, Alfred A refinement of the right-hand side of the Hermite-Hadamard inequality for simplices. (English) Zbl 1370.26051 Aequationes Math. 91, No. 1, 121-128 (2017). Reviewer: László Losonczi (Debrecen) MSC: 26D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Renjie; Gotsman, Craig On pseudo-harmonic barycentric coordinates. (English) Zbl 1418.65016 Comput. Aided Geom. Des. 44, 15-35 (2016). MSC: 65D17 65D10 × Cite Format Result Cite Review PDF Full Text: DOI
Kosinka, Jiří; Bartoň, Michael Convergence of barycentric coordinates to barycentric kernels. (English) Zbl 1418.65022 Comput. Aided Geom. Des. 43, 200-210 (2016). MSC: 65D17 65D10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Anisimov, Dmitry; Deng, Chongyang; Hormann, Kai Subdividing barycentric coordinates. (English) Zbl 1418.65013 Comput. Aided Geom. Des. 43, 172-185 (2016). MSC: 65D17 65D10 × Cite Format Result Cite Review PDF Full Text: DOI
Kiss, Sándor Nagydobai Equal area triangles inscribed in a triangle. (English) Zbl 1372.51009 Int. J. Geom. 5, No. 1, 19-30 (2016). Reviewer: Antonio M. Oller (Zaragoza) MSC: 51M04 × Cite Format Result Cite Review PDF Full Text: Link
Capitán, Francisco Javier García; Yiu, Paul Three mutually tangent congruent circles tangent to the sidelines of a triangle. (English) Zbl 1370.51004 Int. J. Geom. 5, No. 1, 15-18 (2016). MSC: 51M04 51M15 × Cite Format Result Cite Review PDF Full Text: Link
Pouvreau, David; Eupherte, Rémy Some barypolygonal sequences. (Suites barypolygonales quelconques.) (French) Zbl 1365.52015 Quadrature 102, 32-43 (2016). MSC: 52B05 51M15 × Cite Format Result Cite Review PDF
Pouvreau, David Regular barypolygonal sequences. (Suites barypolygonales régulières.) (French) Zbl 1365.52014 Quadrature 100, 16-19 (2016). MSC: 52B05 51M15 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF Full Text: DOI
Gillette, Andrew; Rand, Alexander; Bajaj, Chandrajit Construction of scalar and vector finite element families on polygonal and polyhedral meshes. (English) Zbl 1348.65163 Comput. Methods Appl. Math. 16, No. 4, 667-683 (2016). MSC: 65N30 41A30 65D05 41A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Braouezec, Yann; Grunspan, Cyril A new elementary geometric approach to option pricing bounds in discrete time models. (English) Zbl 1346.91226 Eur. J. Oper. Res. 249, No. 1, 270-280 (2016). MSC: 91G20 × Cite Format Result Cite Review PDF Full Text: DOI
Van Doat Dang; Thi Thao Nguyen Sufficient conditions for a real polynomial to be a sum of squares of polynomials. (English) Zbl 1398.12004 Kodai Math. J. 39, No. 2, 253-275 (2016). Reviewer: Alexander Kovačec (Coimbra) MSC: 12D15 52B20 90C25 90C51 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Altintaş, Abdilkadir Some collinearities in the heptagonal triangle. (English) Zbl 1347.51001 Forum Geom. 16, 249-256 (2016). Reviewer: Antonio M. Oller (Zaragoza) MSC: 51M04 × Cite Format Result Cite Review PDF Full Text: Link
Gillette, Andrew; Rand, Alexander Interpolation error estimates for harmonic coordinates on polytopes. (English) Zbl 1343.31004 ESAIM, Math. Model. Numer. Anal. 50, No. 3, 651-676 (2016). MSC: 31B05 35J05 65D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Guessab, Allal Generalized barycentric coordinates and Jensen type inequalities on convex polytopes. (English) Zbl 1339.41031 J. Nonlinear Convex Anal. 17, No. 3, 527-547 (2016). MSC: 41A36 41A63 41A80 47A58 × Cite Format Result Cite Review PDF Full Text: Link
Floater, Michael S.; Lai, Ming-Jun Polygonal spline spaces and the numerical solution of the Poisson equation. (English) Zbl 1416.65474 SIAM J. Numer. Anal. 54, No. 2, 797-824 (2016). MSC: 65N35 65D07 35J05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Hajja, M.; Hayajneh, M.; Martini, H. More characterizations of certain special families of simplices. (English) Zbl 1335.52024 Result. Math. 69, No. 1-2, 23-47 (2016). Reviewer: Agota H. Temesvári (Pécs) MSC: 52B11 52B12 52B15 51M20 52B10 × Cite Format Result Cite Review PDF Full Text: DOI
Wachspress, Eugene Rational bases and generalized barycentrics. Applications to finite elements and graphics. (English) Zbl 1332.65004 Cham: Springer (ISBN 978-3-319-21613-3/hbk; 978-3-319-21614-0/ebook). xxi, 292 p. (2016). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65-02 65D05 65L60 65Y15 × Cite Format Result Cite Review PDF Full Text: DOI
Deng, Chongyang; Zhu, Fangyan; Liu, Jianzhen The limit of a family of barycentric coordinates for quadrilaterals. (English) Zbl 1417.65078 Comput. Aided Geom. Des. 38, 38-39 (2015). MSC: 65D17 × Cite Format Result Cite Review PDF Full Text: DOI
Floater, Michael S. The inverse of a rational bilinear mapping. (English) Zbl 1375.65025 Comput. Aided Geom. Des. 33, 46-50 (2015). MSC: 65D17 × Cite Format Result Cite Review PDF Full Text: DOI
Dyer, Ramsay; Vegter, Gert; Wintraecken, Mathijs Riemannian simplices and triangulations. (English) Zbl 1380.57029 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, 255-269 (2015). MSC: 57Q15 × Cite Format Result Cite Review PDF Full Text: DOI
Averkov, Gennadiy; Krümpelmann, Jan; Nill, Benjamin Largest integral simplices with one interior integral point: solution of Hensley’s conjecture and related results. (English) Zbl 1378.52014 Adv. Math. 274, 118-166 (2015). Reviewer: Edwin León Cardenal (Zacatecas) MSC: 52B20 52B12 52A38 14M25 90C11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kim, Hyun-Gyu; Sohn, Dongwoo A new finite element approach for solving three-dimensional problems using trimmed hexahedral elements. (English) Zbl 1352.65519 Int. J. Numer. Methods Eng. 102, No. 9, 1527-1553 (2015). MSC: 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Babiker, Hassan; Janeczko, Stanisław Combinatorial representation of tetrahedral chains. (English) Zbl 1359.52026 Commun. Inf. Syst. 15, No. 3, 331-359 (2015). Reviewer: Christian Richter (Jena) MSC: 52C45 05B40 05E18 51M20 52B10 52B12 52C17 × Cite Format Result Cite Review PDF Full Text: DOI
Nowicka, Monika; Witkowski, Alfred A refinement of the left-hand side of Hermite-Hadamard inequality for simplices. (English) Zbl 1336.26040 J. Inequal. Appl. 2015, Paper No. 373, 6 p. (2015). MSC: 26D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dyer, Ramsay; Vegter, Gert; Wintraecken, Mathijs Riemannian simplices and triangulations. (English) Zbl 1333.57036 Geom. Dedicata 179, 91-138 (2015). Reviewer: Ioan Pop (Iaşi) MSC: 57R05 57Q05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cuomo, Salvatore; Galletti, Ardelio; Giunta, Giulio; Marcellino, Livia Piecewise Hermite interpolation via barycentric coordinates. (English) Zbl 1326.41003 Ric. Mat. 64, No. 2, 303-319 (2015). MSC: 41A05 65D05 68U05 × Cite Format Result Cite Review PDF Full Text: DOI
Hess, Albrecht Transforming tripolar into barycentric coordinates. (English) Zbl 1328.51006 Forum Geom. 15, 253-261 (2015). MSC: 51M04 51M25 51M05 × Cite Format Result Cite Review PDF Full Text: Link
Susmaga, Robert; Szczęch, Izabela Can interestingness measures be usefully visualized? (English) Zbl 1322.68194 Int. J. Appl. Math. Comput. Sci. 25, No. 2, 323-336 (2015). MSC: 68T30 × Cite Format Result Cite Review PDF Full Text: DOI
Floater, Michael S. Optimality of a gradient bound for polyhedral Wachspress coordinates. (English) Zbl 1360.65278 Boissonnat, Jean-Daniel (ed.) et al., Curves and surfaces. 8th international conference, Paris, France, June 12–18, 2014. Revised selected papers. Cham: Springer (ISBN 978-3-319-22803-7/pbk; 978-3-319-22804-4/ebook). Lecture Notes in Computer Science 9213, 210-215 (2015). MSC: 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Kosinka, Jiří; Bartoň, Michael Convergence of Wachspress coordinates: from polygons to curved domains. (English) Zbl 1319.65013 Adv. Comput. Math. 41, No. 3, 489-505 (2015). MSC: 65D17 65D05 × Cite Format Result Cite Review PDF Full Text: DOI
Talischi, Cameron A family of \(H(\mathrm{div})\) finite element approximations on polygonal meshes. (English) Zbl 1328.65248 SIAM J. Sci. Comput. 37, No. 2, A1067-A1088 (2015). MSC: 65N30 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Floater, Michael S. Generalized barycentric coordinates and applications. (English) Zbl 1317.65065 Acta Numerica 24, 161-214 (2015). Reviewer: Laurian Ioan Piscoran (Baia Mare) MSC: 65D18 × Cite Format Result Cite Review PDF Full Text: DOI
Do, Tan Duc; Waldron, Shayne Multivariate Bernstein operators and redundant systems. (English) Zbl 1375.41003 J. Approx. Theory 192, 215-233 (2015). MSC: 41A10 41A36 65D17 15A18 42C15 × Cite Format Result Cite Review PDF Full Text: DOI
Lakså, Arne Surfaces from curves on triangular surfaces in barycentric coordinates. (English) Zbl 1440.65031 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 9th international conference, LSSC 2013, Sozopol, Bulgaria, June 3–7, 2013. Revised selected papers. Berlin: Springer. Lect. Notes Comput. Sci. 8353, 619-627 (2014). MSC: 65D17 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Juyong; Deng, Bailin; Liu, Zishun; Patanè, Giuseppe; Bouaziz, Sofien; Hormann, Kai; Liu, Ligang Local barycentric coordinates. (English) Zbl 1396.65071 ACM Trans. Graph. 33, No. 6, Article No. 188, 12 p. (2014). MSC: 65D18 × Cite Format Result Cite Review PDF Full Text: DOI Link
Bishop, J. E. A displacement-based finite element formulation for general polyhedra using harmonic shape functions. (English) Zbl 1352.74326 Int. J. Numer. Methods Eng. 97, No. 1, 1-31 (2014). MSC: 74S05 65N30 × Cite Format Result Cite Review PDF Full Text: DOI Link
Guessab, Allal Approximations of differentiable convex functions on arbitrary convex polytopes. (English) Zbl 1334.65037 Appl. Math. Comput. 240, 326-338 (2014). MSC: 65D15 65D18 26B25 41A45 × Cite Format Result Cite Review PDF Full Text: DOI
Guessab, Allal; Guessab, Florian Symmetrization, convexity and applications. (English) Zbl 1334.26029 Appl. Math. Comput. 240, 149-160 (2014). MSC: 26B25 26D15 52B11 × Cite Format Result Cite Review PDF Full Text: DOI
Hormann, Kai Barycentric interpolation. (English) Zbl 1323.41004 Fasshauer, Gregory E. (ed.) et al., Approximation theory XIV: San Antonio 2013. Selected papers based on the presentations at the international conference, San Antonio, TX, USA, April 7–10, 2013. Cham: Springer (ISBN 978-3-319-06403-1/hbk; 978-3-319-06404-8/ebook). Springer Proceedings in Mathematics & Statistics 83, 197-218 (2014). MSC: 41A05 41A25 41A20 × Cite Format Result Cite Review PDF Full Text: DOI