×

zbMATH — the first resource for mathematics

A box scheme for coupled systems resulting from microsensor thermistor problems. (English) Zbl 0979.78023
Summary: A box approximation scheme is proposed using the lumped mass numerical integration technique on piecewise linear finite element spaces for a coupled nonlinear thermistor system. Existence and uniqueness of the approximation solution are proved via a fixed point theorem, and an \(H^1\)-error analysis is presented.

MSC:
78A55 Technical applications of optics and electromagnetic theory
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
78M25 Numerical methods in optics (MSC2010)
35K65 Degenerate parabolic equations
PDF BibTeX XML Cite