Concurrent implementation of the optimal incremental approximation method for the adaptive and meshless solution of differential equations

DOI10.1023/B:OPTE.0000005388.31401.82zbMath1048.65112OpenAlexW2135355470MaRDI QIDQ1826359

Michael Kokkolaras, Andrew J. jun. Meade, B. A. Zeldin

Publication date: 6 August 2004

Published in: Optimization and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:opte.0000005388.31401.82

zbMATH Keywords

algorithm numerical results convection-diffusion equation series expansion a posteriori error estimates meshless methods Variational principles error minimization parallel optimization adaptive solutions incremental approximation

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Parallel numerical computation (65Y05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05)

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