Approximation of the Bitsadze-Samarskii inverse problem for an elliptic equation with the Dirichlet conditions

DOI10.1134/S0012266113070112zbMath1286.65070WikidataQ115252007 ScholiaQ115252007MaRDI QIDQ2435151

Dmitry Orlovsky, Serguei Piskarev

Publication date: 3 February 2014

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

stabilityconvergenceconsistencyBanach spaceelliptic equationBitsadze-Samarskii conditiondiscrete inverse problemBitsadze-Samarskii inverse problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Numerical solution to inverse problems in abstract spaces (65J22)

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Cites Work

• Inverse problems of potential theory (elliptic, parabolic, hyperbolic, and transport equations)
• Diskrete Approximation von Eigenwertproblemen. II: Konvergenzordnung
• On Bitsadze-Samarskii type nonlocal boundary value problems for elliptic differential and difference equations: well-posedness
• On approximation of inverse problems for abstract elliptic problems
• Approximative methods for nonlinear equations (two approaches to the convergence problem)
• On the approximations of derivatives of integrated semigroups. II
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