On the solution of 3D problems in physics: from the geometry definition in CAD to the solution by a meshless method

DOI10.1016/J.JCP.2019.05.007zbMath1452.65372OpenAlexW2943903541WikidataQ127941816 ScholiaQ127941816MaRDI QIDQ2222263

Sayed Mohamad Mirfatah, E. Soleimanifar, B. Boroomand

Publication date: 26 January 2021

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2019.05.007

zbMATH Keywords

grid generationpartial differential equationsmeshfreeexponential basis functions3D problems

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (7)

A local collocation method to construct Dirichlet-type absorbing boundary conditions for transient scalar wave propagation problems ⋮ High-order maximum-entropy collocation methods ⋮ A meshfree method for the solution of 2D and 3D second order elliptic boundary value problems in heterogeneous media ⋮ Adaptive quadrature/cubature rule: application to polytopes ⋮ Dirichlet absorbing boundary conditions for classical and peridynamic diffusion-type models ⋮ On the simulation of image-based cellular materials in a meshless style ⋮ Local Dirichlet-type absorbing boundary conditions for transient elastic wave propagation problems

Uses Software

• ISOGAT

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces
• A hierarchical approach to adaptive local refinement in isogeometric analysis
• Comparison of different higher order finite element schemes for the simulation of Lamb waves
• Robustness of isogeometric structural discretizations under severe mesh distortion
• An improved NURBS-based isogeometric analysis with enhanced treatment of essential boundary conditions
• Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
• The finite cell method for three-dimensional problems of solid mechanics
• The generalized finite point method
• A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
• Variational boundary conditions based on the Nitsche method for fitted and unfitted isogeometric discretizations of the mechanically coupled Cahn-Hilliard equation
• Isogeometric collocation: Neumann boundary conditions and contact
• Isogeometric analysis for CSG models
• Isogeometric analysis: an overview and computer implementation aspects
• A meshless method using local exponential basis functions with weak continuity up to a desired order
• OpenCL-based implementation of an unstructured edge-based finite element convection-diffusion solver on graphics hardware
• ISOGEOMETRIC COLLOCATION METHODS
• Exponential basis functions in solution of static and time harmonic elastic problems in a meshless style
• A New Approach to Point Membership Classification in B-rep Solids
• Element‐free Galerkin methods
• Isogeometric Analysis
• A Galerkin least‐squares finite element method for the two‐dimensional Helmholtz equation
• Reproducing kernel particle methods

This page was built for publication: On the solution of 3D problems in physics: from the geometry definition in CAD to the solution by a meshless method