Search Results - "Partition of unity method"

A Study of the Partition of Unity-based T3-CNS and T3-DNS Finite Elements in Surface Fitting.

Authors: Istiono, H. Wong, F. T.

Source: Civil Engineering Dimension. Mar2026, Vol. 28 Issue 1, p11-22. 12p.

Subjects: Partition of unity method, Finite element method, Galerkin methods, Numerical analysis, Numerical solutions to partial differential equations

PIP 2 Net: Physics-informed partition penalty deep operator network.

Authors: Mi, Hongjin Lun, Huiqiang Mou, Changhong et al.

Source: Electronic Research Archive. 2026, Vol. 34 Issue 3, p1-29. 29p.

Multivariate data-dependent partition of unity based on Moving Least Squares method.

Authors: Garcés, Inmaculada Ruiz-Álvarez, Juan Yáñez, Dionisio F.

Source: Mathematics & Computers in Simulation. Jul2026, Vol. 245, p610-627. 18p.

Subjects: Partition of unity method, Least squares, Discontinuous functions, Curve fitting, Iterative methods (Mathematics), Numerical solutions to partial differential equations

A Partition of Unity Method for a Fourth‐Order Variational Inequality of the Second Kind.

Authors: Bard Davis, Christopher Zhang, Yi

Source: Numerical Methods for Partial Differential Equations. Jul2025, Vol. 41 Issue 4, p1-13. 13p.

Subjects: Partition of unity method, Variational inequalities (Mathematics), Energy function, Error analysis in mathematics

A localized approach for nonlinear high-dimensional generalized Benjamin-Bona-Mahony-Burgers equation on regular and irregular domains.

Authors: Balootaki, Parisa Ahmadi Fardi, Mojtaba Azarnavid, Babak

Source: Soft Computing - A Fusion of Foundations, Methodologies & Applications. Apr2026, Vol. 30 Issue 4, p2175-2188. 14p.

Subjects: Partition of unity method, Radial basis functions, Partial differential equations, Numerical analysis

On the PU-Pettis Integral in Banach Space.

Authors: Vicedo-Flores, Ann Leslie O. Flores, Greig Bates C.

Source: CMU Journal of Science. 2025, Vol. 29 Issue 2, p5-10. 6p.

Numerical modeling of the ion‐acoustic solitary waves arising in nonlinear dispersive system.

Authors: Nikan, Omid Yang, Yin Avazzadeh, Zakieh

Source: Mathematical Methods in the Applied Sciences. May2025, Vol. 48 Issue 7, p7661-7675. 15p.

A compact direct RBF-PU method for nonlinear volterra integro-differential equations with tempered kernels.

Authors: Fardi, Mojtaba Baleanu, Dumitru Raeisi, Banafsheh

Source: International Journal of Computer Mathematics. Jul2026, Vol. 103 Issue 7, p1484-1510. 27p.

Chebyshev Smoothing With Adaptive Block‐FSAI Preconditioners for the Multilevel Solution of Higher‐Order Problems With the Partition of Unity Method.

Authors: Recio, Pablo Jiménez Schweitzer, Marc Alexander

Source: Numerical Linear Algebra with Applications. Jun2026, Vol. 33 Issue 3, p1-27. 27p.

A radial basis function partition of unity for coupled Klein–Gordon–Zakarov equations: A radial basis function partition of unity for coupled...: M. S. Barikbin.

Authors: Barikbin, Mohammad Saeed¹ (AUTHOR) ms.barikbin@iau.ac.ir

Source: Computational & Applied Mathematics. Mar2025, Vol. 44 Issue 2, p1-23. 23p.

A study on the numerical solution of the Sobolev equation with a Burgers-type nonlinearity on two-dimensional irregular domains using the local RBF partition of unity method.

Authors: Fardi, Mojtaba Azarnavid, Babak

Source: Computational & Applied Mathematics. Feb2025, Vol. 44 Issue 1, p1-46. 46p.

A Least Squares Polynomial‐Based Partition of Unity Method for Tempered‐Type Integro‐Differential Equations.

Authors: Fardi, Mojtaba Baleanu, Dumitru

Source: Mathematical Methods in the Applied Sciences. 3/15/2026, Vol. 49 Issue 4, p2709-2728. 20p.

Some Aspects of Teaching Improper Integrals in an Electronic Environment.

Authors: Todorova-Lazarova, Valentina Petrova Todorov, Todor Dimitrov

Source: Mathematics (2227-7390). Sep2024, Vol. 12 Issue 17, p2732. 12p.

Simulation of Ginzburg–Landau equation via rational RBF partition of unity approach.

Authors: Abbaszadeh, Mostafa Salec, AliReza Bagheri Aal-Ezirej, Taghreed Abdul-Kareem Hatim

Source: Optical & Quantum Electronics. Jan2024, Vol. 56 Issue 1, p1-18. 18p.

Subjects: Radial basis functions, Partition of unity method, Collocation methods, Mathematical forms, Partial differential equations, Differential equations

XFEM based thermo-elastic numerical analysis of FGMs with various discontinuities.

Authors: Mishra, Kundan Lal, Achchhe Sutaria, B.M.

Source: Mechanics Based Design of Structures & Machines. 2023, Vol. 51 Issue 12, p6998-7029. 32p.

Subjects: Mechanical loads, Partition of unity method, Numerical analysis, Fracture mechanics, Functionally gradient materials

Utilizing differential quadrature-based RBF partition of unity collocation method to simulate distributed-order time fractional Cable equation.

Authors: Biranvand, Nader Ebrahimijahan, Ali

Source: Computational & Applied Mathematics. Feb2024, Vol. 43 Issue 1, p1-26. 26p.

Analysis of transient free surface seepage flow using numerical manifold method.

Authors: Jia, Zhen Zheng, Hong

Source: Computers & Mathematics with Applications. Jul2025, Vol. 189, p129-143. 15p.

Subjects: Partition of unity method, Free surfaces, Finite element method, Transient analysis, Degrees of freedom

Exploring computationally efficient stable numerical techniques for fractional Keller–Segel system modeling chemotaxis.

Authors: Sagar, B Saha Ray, S.

Source: Mathematics & Computers in Simulation. Jun2025, Vol. 232, p50-74. 25p.

Subjects: Partition of unity method, Radial basis functions, Caputo fractional derivatives, Partition functions, Finite difference method, Meshfree methods

A fault detection method based on partition of unity and kernel approximation.

Authors: Mirzaei, Davoud Soodbakhsh, Navid

Source: Numerical Algorithms. Aug2023, Vol. 93 Issue 4, p1759-1794. 36p.

Adaptive hyperparameter selection in kernel-based partition of unity methods by global optimization techniques.

Authors: Cavoretto, Roberto De Rossi, Alessandra Haider, Adeeba et al.

Source: Soft Computing - A Fusion of Foundations, Methodologies & Applications. Apr2025, Vol. 29 Issue 7, p3733-3748. 16p.

Subjects: Partition of unity method, Computational mathematics, Global optimization, Radial basis functions, Mathematical optimization