Search Results - numerical methods for inverse problems for boundary value problems involving des~

Fading regularization method for an inverse boundary value problem associated with the biharmonic equation

Authors: Boukraa, Mohamed Aziz Caillé, Laëtitia Delvare, Franck et al.

Contributors: Boukraa, Mohamed Aziz Caillé, Laëtitia Delvare, Franck et al.

Source: Journal of Computational and Applied Mathematics. 457:116285

Subject Terms: Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs, Cauchy problem, Numerical optimization and variational techniques, method of fundamental solutions, biharmonic equation, Numerical methods for inverse problems for boundary value problems involving PDEs, Partial functional-differential equations, [MATH] Mathematics [math], [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], Biharmonic equation, inverse boundary value problems, Inverse boundary value problems, Method of fundamental solutions, Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions, [MATH]Mathematics [math], [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]

File Description: application/xml; application/pdf

Access URL: https://zbmath.org/7958822
https://doi.org/10.1016/j.cam.2024.116285
https://hal.science/hal-04711339v1/document
https://hal.science/hal-04711339v1
https://doi.org/10.1016/j.cam.2024.116285

Numerical resolution of the inverse source problem for EEG using the quasi-reversibility method

Authors: Darbas, Marion Leblond, Juliette Marmorat, Jean-Paul et al.

Contributors: Darbas, Marion Leblond, Juliette Marmorat, Jean-Paul et al.

Source: Inverse Problems. 39:115003

Subject Terms: Inverse problems, Inverse problems for PDEs, best constrained approximation, Numerical methods for inverse problems for boundary value problems involving PDEs, inverse problems, [MATH] Mathematics [math], elliptic PDE, data transmission, 01 natural sciences, 03 medical and health sciences, quasi-reversibility method, 0302 clinical medicine, brain imaging (EEG), [MATH]Mathematics [math], quasi-reversibility, source estimation, 0101 mathematics

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Access URL: https://zbmath.org/7758509
https://doi.org/10.1088/1361-6420/acf9c6
https://inria.hal.science/hal-03880526v2/document
https://inria.hal.science/hal-03880526v2
https://doi.org/10.1088/1361-6420/acf9c6

Computational Inverse Problems for Partial Differential Equations (hybrid meeting).

Source: Oberwolfach Reports; 2021, p1903-1954, 52p

Subject Terms: PARTIAL differential equations, BOUNDARY value problems, NONDESTRUCTIVE testing, MACHINE learning, DIAGNOSTIC imaging

A gaussian process framework for solving forward and inverse problems involving nonlinear partial differential equations.

Authors: Mora, Carlos Yousefpour, Amin Hosseinmardi, Shirin et al.

Source: Computational Mechanics; Apr2025, Vol. 75 Issue 4, p1213-1239, 27p

Subject Terms: ARTIFICIAL neural networks, PARTIAL differential equations, GAUSSIAN processes, INVERSE problems, NONLINEAR differential equations

B-spline Collocation Methods for Solving Linear Two-Point Boundary Value Problems.

Authors: Khalid Ali Khan, Seherish Naz Misro, Md Yushalify

Source: Matematika; Apr2024, Vol. 40 Issue 1, p1-16, 16p

Subject Terms: BOUNDARY value problems, NUMERICAL solutions to boundary value problems, COLLOCATION methods

Towards Nonlinearity: The p -Regularity Theory.

Authors: Bednarczuk, Ewa Brezhneva, Olga Leśniewski, Krzysztof et al.

Source: Entropy; May2025, Vol. 27 Issue 5, p518, 46p

Subject Terms: NONLINEAR differential equations, IMPLICIT functions, PARTIAL differential equations, DIFFERENTIAL equations, BOUNDARY value problems

A Novel Approximation Method for Solving Ordinary Differential Equations Using the Representation of Ball Curves.

Authors: Bhatti, Abdul Hadi Karim, Sharmila Amourah, Ala et al.

Source: Mathematics (2227-7390); Jan2025, Vol. 13 Issue 2, p250, 25p

Subject Terms: ORDINARY differential equations, BOUNDARY value problems, LEAST squares, RESEARCH personnel, ALGORITHMS

ANN-based deep collocation method for natural convection in porous media.

Authors: Kumar, Sumant Kumar, B. V. Rathish Murthy, S. V. S. S. N. V. G. Krishna

Source: Neural Computing & Applications; Apr2024, Vol. 36 Issue 11, p6067-6083, 17p

Subject Terms: COLLOCATION methods, POROUS materials, BOUNDARY value problems, NATURAL heat convection, FEEDFORWARD neural networks, FINITE volume method, NEUMANN boundary conditions

On uniqueness theorems for the inverse problem of electrocardiography in the Sobolev spaces.

Authors: Kalinin, Vitaly Shlapunov, Alexander Ushenin, Konstantin

Source: ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik; Jan2023, Vol. 103 Issue 1, p1-25, 25p

Subject Terms: SOBOLEV spaces, BOUNDARY value problems, ELECTROCARDIOGRAPHY, MATHEMATICAL models

The forward and inverse problems for a fractional boundary value problem.

Authors: Feng, Yaqin Graef, John R. Kong, Lingju et al.

Source: Applicable Analysis; Nov2018, Vol. 97 Issue 14, p2474-2484, 11p

Subject Terms: BOUNDARY value problems, NUMERICAL analysis, DIRICHLET forms, COMPUTER simulation, NONLINEAR analysis

Explicit block encodings of boundary value problems for many-body elliptic operators

Authors: Tyler Kharazi Ahmad M. Alkadri Jin-Peng Liu et al.

Source: Quantum, Vol 9, p 1764 (2025)

Subject Terms: Physics, QC1-999

File Description: electronic resource

Relation: https://quantum-journal.org/papers/q-2025-06-04-1764/pdf/; https://doaj.org/toc/2521-327X

Access URL: https://doaj.org/article/60f52390479b44f38b3fa2e1e5d42140

Determination of a time-dependent heat transfer coefficient in a nonlinear inverse heat conduction problem.

Authors: Slodička, M. Lesnic, D. Onyango, T.T.M.

Source: Inverse Problems in Science & Engineering; Jan2010, Vol. 18 Issue 1, p65-81, 17p, 3 Graphs

Subject Terms: HEAT transfer, HEAT conduction, BOUNDARY element methods, INVERSE problems, BOUNDARY value problems

A New Formulation of Dynamic Problems in Zener Type Viscoelasticity.

Authors: Bui, H. D. Chaillat, S.

Source: International Review of Mechanical Engineering; Jul2010, Vol. 4 Issue 5, p632-637, 6p

Subject Terms: VISCOELASTICITY, BOUNDARY element methods, INVERSE problems, RADIO frequency, NUMERICAL solutions to boundary value problems, QUANTUM perturbations, SYSTEM identification

Shape optimization methods for the inverse obstacle problem with generalized impedance boundary conditions.

Authors: Caubet, Fabien Dambrine, Marc Kateb, Djalil

Source: Inverse Problems; Nov2013, Vol. 29 Issue 11, p115011-115036, 26p

Subject Terms: ELECTRIC impedance, INVERSE problems, BOUNDARY value problems, OSCILLATIONS, HESSIAN matrices

Inverse geometry heat conduction analysis of functionally graded materials using smoothed fixed grid finite elements.

Authors: Kazemzadeh-Parsi, MohammadJavad Daneshmand, Farhang

Source: Inverse Problems in Science & Engineering; Mar2013, Vol. 21 Issue 2, p235-250, 16p, 11 Diagrams, 1 Graph

Subject Terms: HEAT conduction, INVERSE problems, GEOMETRIC analysis, FINITE element method, TWO-dimensional models, SMOOTHING (Numerical analysis), PARAMETERIZATION, BOUNDARY value problems

An Extended Separation-of-Variable Method for Free Vibration of Rectangular Mindlin Plates.

Authors: Li, Gen Xing, Yufeng Wang, Zekun

Source: International Journal of Structural Stability & Dynamics; Oct2021, Vol. 21 Issue 11, p1-32, 32p

Subject Terms: RECTANGLES, FREE vibration, EIGENVALUE equations, BOUNDARY value problems, MODE shapes, PLATING baths

HIGH-FREQUENCY BOUNDS FOR THE HELMHOLTZ EQUATION UNDER PARABOLIC TRAPPING AND APPLICATIONS IN NUMERICAL ANALYSIS.

Authors: CHANDLER-WILDE, S. N. SPENCE, E. A. GIBBS, A. et al.

Source: SIAM Journal on Mathematical Analysis; 2020, Vol. 52 Issue 1, p845-893, 49p

Subject Terms: HELMHOLTZ equation, NUMERICAL analysis, RESOLVENTS (Mathematics), BOUNDARY element methods, BOUNDARY value problems, TRAPPING, FINITE element method

About identification of defects in an elastic-plastic medium from boundary measurements in the antiplane case.

Authors: Bourgeois, L. Darde, J.

Source: Applicable Analysis; Oct2011, Vol. 90 Issue 10, p1481-1497, 17p, 1 Diagram, 1 Chart, 4 Graphs

Subject Terms: INVERSE problems, ELASTICITY, BOUNDARY value problems, ITERATIVE methods (Mathematics), SET theory, NUMERICAL analysis, MECHANICS (Physics)

From discrete to continuum modelling of boundary value problems in geomechanics: An integrated FEM‐DEM approach.

Authors: Desrues, Jacques Argilaga, Albert Caillerie, Denis et al.

Source: International Journal for Numerical & Analytical Methods in Geomechanics; 4/10/2019, Vol. 43 Issue 5, p919-955, 37p

Subject Terms: BOUNDARY value problems, MATHEMATICAL continuum, DISCRETE element method

Identification of separable sources for advection-diffusion equations with variable diffusion coefficient from boundary measured data.

Authors: Kulbay, M. Mukanova, B. Sebu, C.

Source: Inverse Problems in Science & Engineering; Feb2017, Vol. 25 Issue 2, p279-308, 30p

Subject Terms: ADVECTION-diffusion equations, MATHEMATICAL variables, DIFFUSION coefficients, NUMERICAL solutions to boundary value problems, DISCONTINUOUS coefficients