The description of various steady-state physical processes often leads to elliptic partial differential equations, such as those encountered in stationary heat conduction, diffusion problems, current distribution in conductors, electrostatics, magnetostatics, elastic theory, and percolation theory, among others.

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Finite Difference Methods for Elliptic Equations

  • Zhi-Zhong Sun,
  • Qifeng Zhang,
  • Guang-hua Gao

摘要

The description of various steady-state physical processes often leads to elliptic partial differential equations, such as those encountered in stationary heat conduction, diffusion problems, current distribution in conductors, electrostatics, magnetostatics, elastic theory, and percolation theory, among others.