The Method of Fundamental Solutions for the Direct Elastography Problem in the Human Retina

DOI10.1007/978-3-030-52804-1_5zbMath1454.65182OpenAlexW3090429887MaRDI QIDQ5132507

Pedro Serranho, Sílvia Barbeiro

Publication date: 12 November 2020

Published in: Advances in Trefftz Methods and Their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-52804-1_5

zbMATH Keywords

method of fundamental solutionselastographycoupled acoustic wave propagationelastic displacement model

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Classical linear elasticity (74B05) Biomechanics (92C10) Hydro- and aero-acoustics (76Q05) Biomechanical solid mechanics (74L15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Physiological flows (76Z05) Waves and radiation in optics and electromagnetic theory (78A40) PDEs in connection with mechanics of deformable solids (35Q74) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Cites Work

• On the choice of source points in the method of fundamental solutions
• A three-dimensional acoustics model using the method of fundamental solutions
• The method of fundamental solutions applied to 3D elasticity problems using a continuous collocation scheme
• Extending the method of fundamental solutions to non-homogeneous elastic wave problems
• A fast iterative solver for scattering by elastic objects in layered media
• Stability and convergence of the method of fundamental solutions for Helmholtz problems on analytic domains
• A domain decomposition solver for acoustic scattering by elastic objects in layered media
• Efficient implementation of the MFS: The three scenarios
• The method of fundamental solutions for scattering and radiation problems.
• On the use of quasi-equidistant source points over the sphere surface for the method of fundamental solutions
• The method of fundamental solutions for Helmholtz-type equations in composite materials
• Applicability and applications of the method of fundamental solutions
• On approximation by solutions of partial differential equations
• Fundamental Solutions Method for Elliptic Boundary Value Problems
• On the far-field operator in elastic obstacle scattering
• Inverse acoustic and electromagnetic scattering theory

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