Results 61 to 70 of about 2,088 (219)
Numerical Analysis of a Benjamin–Bona–Mahony Type Equation in a Noncylindrical Domain
Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 818-834, 30 January 2026.ABSTRACT Numerical analysis and simulation for the approximate solution of a Benjamin–Bona–Mahony type equation defined in a noncylindrical domain are presented in this article. The approximate problem is defined using the linearized Crank–Nicolson Galerkin method, which results in a linear algebraic system at each time step while maintaining quadratic
Vania Cristina Machado +2 more
wiley +1 more source
Macromolecular Theory and Simulations, Volume 35, Issue 1, January 2026.A novel approach that integrates AI‐based methodology, laboratory experimentation, and field application experience to accurately predict the lifespan of elastomeric materials in harsh downhole environments. ABSTRACT This paper presents a physics‐driven neural network (PINN) model to capture the constitutive behavior, elongation at break (EAB), modulus,
Aref Ghaderi +6 more
wiley +1 more source
High frequency modes meshfree analysis of Reissner–Mindlin plates
Journal of Science: Advanced Materials and Devices, 2016 Finite element method (FEM) is well used for modeling plate structures. Meshfree methods, on the other hand, applied to the analysis of plate structures lag a little behind, but their great advantages and potential benefits of no meshing prompt continued
Tinh Quoc Bui +4 more
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AIP Advances, 2021 In this paper, a novel meshfree approach is proposed for the three-dimensional free vibration analysis of laminated composite combination shells. The three-dimensional theory of elasticity is applied to the formulation for free vibration analysis of ...
Songhun Kwak, Kwanghun Kim
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Adaptive meshless centres and RBF stencils for Poisson equation
, 2011 We consider adaptive meshless discretisation of the Dirichlet problem for Poisson equation based on numerical differentiation stencils obtained with the help of radial basis functions. New meshless stencil selection and adaptive refinement algorithms are
Oleg Davydov +3 more
core +1 more source
Study on the Post‐Target Effect of Polyurea‐Coated Aluminum Plate Subjected to High‐Velocity Impact
Advances in Polymer Technology, Volume 2026, Issue 1, 2026.High‐velocity fragment impact on aircraft thin‐walled aluminum alloy structures typically induces severe debris cloud generation, which causes widespread secondary damage to internal equipment and greatly impairs structural survivability and post‐damage repairability.
Yi-tao Wang +6 more
wiley +1 more source
An Overview of Meshfree Collocation Methods
CoRRWe provide a comprehensive overview of meshfree collocation methods for numerically approximating differential operators on continuously labeled unstructured point clouds. Meshfree collocation methods do not require a computational grid or mesh. Instead, they approximate smooth functions and their derivatives at potentially irregularly distributed ...
Tomás Halada +5 more
openaire +2 more sources
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.This paper introduces a new numerical method for solving a class of two‐dimensional fractional partial Volterra integral equations (2DFPVIEs). Our approach uses Lucas polynomials (LPs) to construct operational matrices (OMs) that effectively transform the complex fractional‐order equations into a more manageable system of algebraic equations.
S. S. Gholami +4 more
wiley +1 more source
MathematicsOver the last two decades, meshfree Galerkin methods have become increasingly popular in solid and fluid mechanics applications. A variety of these methods have been developed, each incorporating unique meshfree approximation schemes to enhance their ...
Hongtao Yang, Hao Wang, Bo Li
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