Parallel meshfree computation for parabolic equations on graphics hardware

DOI10.1080/00207160.2010.482662zbMath1218.65109OpenAlexW2119962658MaRDI QIDQ3008392

Susumu Nakata

Publication date: 15 June 2011

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2010.482662

zbMATH Keywords

algorithmGalerkin methodheat equationfinite element methodnumerical examplesparallel computationmeshfree methodradial point interpolationgraphics hardware

Mathematics Subject Classification ID

Heat equation (35K05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05)

Related Items (3)

A finite-time convergent dynamic system for solving online simultaneous linear equations ⋮ Solving numerical difficulties for element-free Galerkin analyses ⋮ Solving time-varying nonlinear inequalities using continuous and discrete-time Zhang dynamics

Cites Work

• Meshless element free Galerkin method for unsteady nonlinear heat transfer problems
• Generalizing the finite element method: Diffuse approximation and diffuse elements
• A modified collocation method and a penalty formulation for enforcing the essential boundary conditions in the element free Galerkin method
• A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
• Element‐free Galerkin methods
• A point interpolation meshless method based on radial basis functions
• Meshless Analysis with Non-Uniformly Distributed Nodes Using Hierarchical Cell Structure
• Treatment of material discontinuity in two meshless local Petrov–Galerkin (MLPG) formulations of axisymmetric transient heat conduction
• Meshfree Methods

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