A New Variational Approach for Inverse Source Problems

DOI10.4208/nmtma.OA-2017-0124zbMath1449.35006OpenAlexW2918107832WikidataQ128340193 ScholiaQ128340193MaRDI QIDQ5210313

Jun Zou, Shi Shu, Qiya Hu

Publication date: 22 January 2020

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/nmtma.oa-2017-0124

zbMATH Keywords

stabilityconvergencevariational approachinverse source problem

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (4)

Stochastic Convergence of Regularized Solutions and Their Finite Element Approximations to Inverse Source Problems ⋮ Solving an inverse source problem by deep neural network method with convergence and error analysis ⋮ Efficient adaptive step-size formulation of an optimized two-step hybrid block method for directly solving general second-order initial-value problems ⋮ A total variation regularization method for inverse source problem with uniform noise

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