Reconstructing the membrane detection of a 1D electrostatic-driven MEMS device by the shooting method: convergence analysis and ghost solutions identification

DOI10.1007/s40314-017-0564-4zbMath1402.34031OpenAlexW2791245728MaRDI QIDQ1993438

Alessandra Jannelli, Giovanni Angiulli, Francesco Carlo Morabito, Mario Versaci

Publication date: 5 November 2018

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-017-0564-4

zbMATH Keywords

boundary value problemsshooting methodMEMSelectrostatic actuationboundary semi-linear elliptic problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Inverse problems in equilibrium solid mechanics (74G75) Green's functions for ordinary differential equations (34B27) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Applications of boundary value problems involving ordinary differential equations (34B60)

Related Items

Curvature dependent electrostatic field in the deformable MEMS device: stability and optimal control ⋮ Micropumps for drug delivery systems: a new semi-linear elliptic boundary-value problem ⋮ Curvature-dependent electrostatic field as a principle for modelling membrane MEMS device with fringing field ⋮ MEMS with fringing field: curvature-dependent electrostatic field and numerical techniques for recovering the membrane profile

Uses Software

• Matlab
• ode23
• ode45
• Ode15s
• ode113
• ode23s
• MATLAB ODE suite

Cites Work

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