Continuation and multi-grid for nonlinear elliptic systems
Recently the authors have developed and successfully applied a continuation technique for the numerical solution of parameter-dependent nonlinear elliptic boundary value problems. The method was integrated into an existing multi-grid package based on an adaptive finite element discretization. An extension to nonlinear systems of differential equations is considered. Since one important field of application is the VLSI device simulation we discuss this problem and present preliminary numerical results for a MOSFET device.
KeywordsContinuation Method Device Simulation Single Precision Nonlinear Elliptic System Continuation Technique
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