An inverse problem formulation of the immersed‐boundary method
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DOI: 10.1002/fld.4816
Abstract: We formulate the immersed‐boundary method (IBM) as an inverse problem. A control variable is introduced on the boundary of a larger domain that encompasses the target domain. The optimal control is the one that minimizes… read more here.
Keywords: boundary method; problem; inverse problem; immersed boundary ... See more keywords
Inverse problem for Oskolkov's system of equations
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DOI: 10.1002/mma.3807
Abstract: The inverse problem with unknown source function is studied for the nonlinear Oskolkov's system of partial differential equations that describes the dynamics of viscoelastic Kelvin–Voigt fluid. It is reduced to the problem for a first… read more here.
Keywords: problem oskolkov; inverse problem; problem; oskolkov system ... See more keywords
On an inverse problem of reconstructing a subdiffusion process from nonlocal data
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DOI: 10.1002/mma.5498
Abstract: We consider a problem of modeling the thermal diffusion process in a closed metal wire wrapped around a thin sheet of insulation material. The layer of insulation is assumed to be slightly permeable. Therefore, the… read more here.
Keywords: subdiffusion; problem; inverse problem; equation ... See more keywords
Solvability of an inverse problem for discontinuous Sturm–Liouville operators
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DOI: 10.1002/mma.6713
Abstract: In this paper, we consider the Sturm–Liouville equation with the jump conditions inside the interval (0,π). The inverse problem is studied, which consists in recovering operator coefficients from two spectra, corresponding to different boundary conditions.… read more here.
Keywords: problem; inverse problem; sturm liouville; problem discontinuous ... See more keywords
An inverse problem in Lagrangian dynamics based on the preservation of symmetry groups: application to systems with a position-dependent mass
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DOI: 10.1007/s00707-017-1956-7
Abstract: An inverse problem in dynamics is proposed, based on a recently formulated symmetry-preserving perturbation method for Lagrangian systems. Special types of systems obtained from kinetic Lagrangians and with a position-dependent mass in two and three… read more here.
Keywords: inverse problem; dependent mass; position dependent;
An Inverse Problem for Anomalous Diffusion Equation with Bi-Ordinal Hilfer’s Derivative
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DOI: 10.1007/s10559-019-00127-6
Abstract: The author formulates and solves the inverse problem of finding the field function and the source function dependent on the geometric variable for the anomalous diffusion equation with bi-ordinal Hilfer’s fractional derivative and variable direction… read more here.
Keywords: equation ordinal; problem; ordinal hilfer; anomalous diffusion ... See more keywords
On the Numerical Solution to an Inverse Problem of Recovering a Source of Special Type in a Parabolic Equation
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DOI: 10.1007/s10559-020-00278-x
Abstract: We consider an inverse problem of recovering a source of special type in a parabolic equation under initial and boundary conditions. The specificity of the problem is that the identifiable parameters depend only on a… read more here.
Keywords: inverse problem; recovering source; source special; problem recovering ... See more keywords
Unique Solvability of the Three-Dimensional Inverse Problem of Electromagnetic Sounding
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DOI: 10.1007/s10598-018-9417-2
Abstract: The article considers a three-dimensional inverse problem to determine the conductivity distribution in a three-dimensional body embedded in a layered conducting medium. A uniqueness theorem is proved for the class of layered bodies with finitely… read more here.
Keywords: three dimensional; dimensional inverse; inverse problem; unique solvability ... See more keywords
A family of solutions to the inverse problem in gravitation: building a theory around a metric
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DOI: 10.1007/s10714-020-02779-8
Abstract: A method is presented to construct a particular, non-minimally coupled scalar–tensor theory such that a given metric is an exact vacuum solution in that theory. In contrast to the standard approach in studies of gravitational… read more here.
Keywords: gravitation; theory; inverse problem; family solutions ... See more keywords
A Nonlocal Inverse Problem for the Two-Dimensional Heat-Conduction Equation
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DOI: 10.1007/s10958-018-3834-9
Abstract: We consider an inverse problem of determination of the time-dependent leading coefficient of a two-dimensional heat-conduction equation with nonlocal overdetermination condition. The existence and uniqueness conditions are established for the classical solution of the analyzed… read more here.
Keywords: inverse problem; two dimensional; heat conduction; conduction equation ... See more keywords
Contact Problem for a Rigid Punch and an Elastic Half Space as an Inverse Problem
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DOI: 10.1007/s10958-019-04346-2
Abstract: We solve a contact problem of indentation of a punch into an elastic half space with regard for the friction and in the presence of the zones of adhesion, sliding, and separation. The applied approach… read more here.
Keywords: problem; elastic half; punch elastic; inverse problem ... See more keywords