A Particle-Partition of Unity Method--Part II: Efficient Cover Construction and Reliable Integration

DOI10.1137/S1064827501391588zbMath1011.65069OpenAlexW2062757794MaRDI QIDQ2780597

Michael Griebel, Marc Alexander Schweitzer

Publication date: 15 April 2002

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s1064827501391588

zbMATH Keywords

convergence convection-diffusion equation numerical examples partition of unity Galerkin discretization meshfree method meshless partition of unity method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Initial value problems for second-order parabolic equations (35K15) Initial value problems for second-order hyperbolic equations (35L15)

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