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We consider a mathematical model of fluid-porous interfaces in a simple channel geometry [4–6]. First, we decouple the full inverse problem into two Dirichlet inverse problems. Then, for the linear problem, we use a decomposition technique to obtain exact formulas for the unknown boundary conditions at points and integral measurements in the continuous and discrete cases. All these techniques are realized to the nonlinear problems on the base of an iterative monotone process. Numerical examples both for linear and nonlinear case are discussed.

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Determination of External Boundary Conditions of a Stationary Nonlinear Problem on Disjoint Intervals at Point Observation

  • 会议论文

  • 发表日期：

    2025年

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  • Miglena N. Koleva,
  • Zorica D. Milovanović Jeknić,
  • Lubin G. Vulkov

摘要

We consider a mathematical model of fluid-porous interfaces in a simple channel geometry [4–6]. First, we decouple the full inverse problem into two Dirichlet inverse problems. Then, for the linear problem, we use a decomposition technique to obtain exact formulas for the unknown boundary conditions at points and integral measurements in the continuous and discrete cases. All these techniques are realized to the nonlinear problems on the base of an iterative monotone process. Numerical examples both for linear and nonlinear case are discussed.