A homotopy method for solving an equation of the type \(-\Delta u=F(u)\)

DOI10.1016/S0294-1449(16)30421-8zbMath0569.65087MaRDI QIDQ1060828

B. George

Publication date: 1984

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1984__1_4_205_0

zbMATH Keywords

Laplace equationPoisson equationhomotopy continuation methodpseudodeterminantpseudo- inverse

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Applications to the sciences (65Z05) Continuation and prolongation of solutions to PDEs (35B60) Numerical methods for partial differential equations, boundary value problems (65N99)

Cites Work

• A convergent process of price adjustment and global Newton methods
• Finding Zeroes of Maps: Homotopy Methods That are Constructive With Probability One
• An Infinite Dimensional Version of Sard's Theorem
• Equivalent Norms for Sobolev Spaces
• Homotopies for computation of fixed points on unbounded regions
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