Missing boundary data reconstruction for the heat equation
Amel Ben Abda, Naima Benmeghnia, Rim Guetat
Source abstract
This work is concerned with the boundary data completion problem related to the heat equation in the special case of an annular domain. We first reformulate this inverse problem into an interfacial equation involving Steklov‐Poincaré operator based on fictitious domain decomposition techniques. We present some theoretical results. For solving the problem under consideration, we suggest a new numerical point of view which helps to reduce the computational cost using the Schur complement algorithm. We perform then the convergence analysis of this new approach in the annular domain. Several numerical experiments are shown to illustrate the efficiency of the proposed method.
Evidence graph
No public relationships recorded yet.
Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.