A parabolic multiscale inverse problem approached via homogenization: a numerical method

DOI10.1016/j.jmaa.2024.129073MaRDI QIDQ6664112

Raúl Gormaz, Jorge Alonso San Martín, Carlos Conca, Vicente Ocqueteau

Publication date: 16 January 2025

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

inverse problemshomogenizationnumerical analysismultiscale modeling

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Qualitative properties of solutions to partial differential equations (35Bxx)

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
• Superconvergence analysis of approximate boundary-flux calculations
• Correctors for the homogenization of the wave and heat equations
• Numerical methods for multiscale inverse problems
• COUPLING HETEROGENEOUS MULTISCALE FEM WITH RUNGE–KUTTA METHODS FOR PARABOLIC HOMOGENIZATION PROBLEMS: A FULLY DISCRETE SPACETIME ANALYSIS
• Numerical Homogenization and Model Order Reduction for Multiscale Inverse Problems
• Lipschitz stability in the determination of the principal part of a parabolic equation
• Exact and Approximate Controllability for Distributed Parameter Systems
• Heat equation with temperature-dependent conductivity coefficients and macroscopic properties of microheterogeneous media

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