Results 31 to 40 of about 637 (177)
MLPG analysis method for local buckling of ship opening beams
ObjectivesIn order to solve the problems of the local buckling effect and obvious structural response and buckling failure force caused by high concentrated load, a meshless numerical method is proposed to simulate the problem.MethodsBased on discrete ...
Yu DUANMU +3 more
doaj +1 more source
Meshless Local Petrov-Galerkin Method in Anisotropic Elasticity
A meshless method based on the local Petrov-Galerkin approach is proposed for solution of static and elastodynamic problems in a homogeneous anisotropic medium. The Heaviside step function is used as the test functions in the local weak form. It is leading to derive local boundary integral equations (LBIEs).
Sladek, J., Sladek, V., Atluri, S. N.
openaire +2 more sources
Mesh Processing Non‐Meshes via Neural Displacement Fields
Abstract Mesh processing pipelines are mature, but adapting them to newer non‐mesh surface representations—which enable fast rendering with compact file size—requires costly meshing or transmitting bulky meshes, negating their core benefits for streaming applications.
Yuta Noma +4 more
wiley +1 more source
Interpolated Adaptive Linear Reduced Order Modeling for Deformation Dynamics
Abstract Linear reduced‐order modeling (ROM) is widely used for efficient simulation of deformation dynamics, but its accuracy is often limited by the fixed linearization of the reduced mapping. We propose a new adaptive strategy for linear ROM that allows the reduced mapping to vary dynamically in response to the evolving deformation state ...
Y. Tao, M. Chiaramonte, P. Fernandez
wiley +1 more source
Fast Nodal Hessian Computation for Peridynamic Fracture Simulation
A fast, exact nodal Hessian computation for Non‐Ordinary State‐Based Peridynamics is introduced through analytical simplification and a warp‐centric GPU strategy. The method accelerates preconditioned solvers and Vertex Block Descent, enabling interactive fracture simulation with physical accuracy.
Yuxiong Qin +2 more
wiley +1 more source
Meshless Modelling of Laminate Mindlin Plates under Dynamic Loads
Collocation method and Galerkin method have been dominant in the existing meshless methods. A meshless local Petrov-Galerkin (MLPG) method is applied to solve laminate plate problems described by the Reissner-Mindlin theory for transient dynamic loads ...
Milan Zmindak, Daniel Riecky
doaj +1 more source
Imposing boundary conditions in the meshless local Petrov–Galerkin method
A particular meshless method, named meshless local Petrov-Galerkin is investigated. To treat the essential boundary condition problem, an alternative approach is proposed. The basic idea is to merge the best features of two different methods of shape function generation: the moving least squares (MLS) and the radial basis functions with polynomial ...
A.R. Fonseca +3 more
openaire +1 more source
A Hybrid‐High Order Method for Fracture Modelling
ABSTRACT In this work we introduce a new Hybrid High‐Order method for the numerical simulation of fracture propagation based on phase‐field models. The proposed method: supports general meshes made of polygonal/polyhedral elements, which provides great flexibility in mesh design and adaptation; can accommodate large variations of both the displacement ...
Alessandra Crippa +4 more
wiley +1 more source
A collocation meshless method based on local optimal point interpolation
AbstractThis paper deals with the use of the local optimal point interpolating (LOPI) formula in solving partial differential equations (PDEs) with a collocation method. LOPI is an interpolating formula constructed by localization of optimal point interpolation formulas that reproduces polynomials and verifies the delta Kronecker property.
Zuppa, Carlos, Cardona, Alberto
openaire +3 more sources
Local Polynomial Regression and Filtering for a Versatile Mesh‐Free PDE Solver
A high‐order, mesh‐free finite difference method for solving differential equations is presented. Both derivative approximation and scheme stabilisation is carried out by parametric or non‐parametric local polynomial regression, making the resulting numerical method accurate, simple and versatile. Numerous numerical benchmark tests are investigated for
Alberto M. Gambaruto
wiley +1 more source

