Automatic differentiation for solving nonlinear partial differential equations: an efficient operator overloading approach

DOI10.1023/A:1020103610525zbMath1008.65087MaRDI QIDQ1851002

Dirk Roose, Herman Ramon, Engelbert Tijskens, Josse De Baerdemaeker

Publication date: 15 December 2002

Published in: Numerical Algorithms (Search for Journal in Brave)

automatic differentiation mathematical modeling least squares nonlinear PDE Poisson equation finite element algorithm computational efficiency scientific computing

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Nonlinear boundary value problems for linear elliptic equations (35J65) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical differentiation (65D25) Complexity and performance of numerical algorithms (65Y20) Packaged methods for numerical algorithms (65Y15)

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