ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, ISSN 0044-2267, 08/2016, Volume 96, Issue 8, pp. 956 - 967

The method of dimensionality reduction (MDR) is extended to the axisymmetric frictionless unilateral Hertz‐type contact problem for a viscoelastic half‐space...

Viscoelastic half‐space | contact problem | method of dimensionality reduction | Viscoelastic half-space | MATHEMATICS, APPLIED | CONTACT | MECHANICS | ARTICULAR-CARTILAGE | VIABILITY | Viscoelasticity | Axisymmetric | Reduction | Contact force | Indentation | Half spaces | Mathematical analysis | Indenters | Contact

Viscoelastic half‐space | contact problem | method of dimensionality reduction | Viscoelastic half-space | MATHEMATICS, APPLIED | CONTACT | MECHANICS | ARTICULAR-CARTILAGE | VIABILITY | Viscoelasticity | Axisymmetric | Reduction | Contact force | Indentation | Half spaces | Mathematical analysis | Indenters | Contact

Journal Article

Journal of Global Optimization, ISSN 0925-5001, 6/2016, Volume 65, Issue 2, pp. 309 - 327

In recent times the Douglas–Rachford algorithm has been observed empirically to solve a variety of nonconvex feasibility problems including those of a...

Non-convex | Global convergence | 65K05 | Douglas–Rachford algorithm | Mathematics | 90C26 | Operation Research/Decision Theory | Computer Science, general | Feasibility problem | Optimization | Real Functions | Half-space | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Douglas-Rachford algorithm | ALGORITHM | CONVERGENCE | Analysis | Methods | Algorithms | Studies | Feasibility | Combinatorics | Mathematical analysis | Half spaces | Empirical analysis | Combinatorial analysis | Convergence | Mathematics - Optimization and Control

Non-convex | Global convergence | 65K05 | Douglas–Rachford algorithm | Mathematics | 90C26 | Operation Research/Decision Theory | Computer Science, general | Feasibility problem | Optimization | Real Functions | Half-space | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Douglas-Rachford algorithm | ALGORITHM | CONVERGENCE | Analysis | Methods | Algorithms | Studies | Feasibility | Combinatorics | Mathematical analysis | Half spaces | Empirical analysis | Combinatorial analysis | Convergence | Mathematics - Optimization and Control

Journal Article

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, ISSN 1364-5021, 01/2013, Volume 469, Issue 2149, pp. 20120462 - 20120462

This article revisits the classical problem of horizontal and vertical point loads suddenly applied onto the surface of a homogeneous, elastic half-space, and...

Lamb's problem | Soil dynamics | Green's functions | Earthquake engineering | Seismology | Wave motion | wave motion | soil dynamics | MULTIDISCIPLINARY SCIENCES | seismology | SURFACE | earthquake engineering | PROPAGATION | Poles | Format | Horizontal | Half spaces | Dipoles | Mathematical analysis | Poissons ratio | Lamb

Lamb's problem | Soil dynamics | Green's functions | Earthquake engineering | Seismology | Wave motion | wave motion | soil dynamics | MULTIDISCIPLINARY SCIENCES | seismology | SURFACE | earthquake engineering | PROPAGATION | Poles | Format | Horizontal | Half spaces | Dipoles | Mathematical analysis | Poissons ratio | Lamb

Journal Article

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Full Text
Iterative methods for the split feasibility problem in infinite-dimensional Hilbert spaces

Inverse Problems, ISSN 0266-5611, 10/2010, Volume 26, Issue 10, pp. 105018 - 105018

The split feasibility problem (SFP) (Censor and Elfving 1994 Numer. Algorithms 8 221-39) is to find a point x* with the property that x* is an element of C and...

PROJECTION | MATHEMATICS, APPLIED | LINEAR INVERSE PROBLEMS | SETS | CQ ALGORITHM | PHYSICS, MATHEMATICAL | OPERATORS | Algorithms | Half spaces | Inverse problems | Feasibility | Hilbert space | Iterative methods | Optimization | Convergence

PROJECTION | MATHEMATICS, APPLIED | LINEAR INVERSE PROBLEMS | SETS | CQ ALGORITHM | PHYSICS, MATHEMATICAL | OPERATORS | Algorithms | Half spaces | Inverse problems | Feasibility | Hilbert space | Iterative methods | Optimization | Convergence

Journal Article

Journal of the Mathematical Society of Japan, ISSN 0025-5645, 2012, Volume 64, Issue 2, pp. 561 - 626

In this paper, we proved the generalized resolvent estimate and the maximal L-p-L-q regularity of the Stokes equation with first order boundary condition in...

Half space problem | Maximal regularity | Resolvent estimate | Surface tension | Gravity force | Stokes equation | SYSTEM | DOMAIN | SMALL-TIME EXISTENCE | EQUATIONS | maximal regularity | resolvent estimate | surface tension | SURFACE-TENSION | MATHEMATICS | WAVES | gravity force | INTERFACE | FOURIER MULTIPLIER THEOREMS | VISCOUS INCOMPRESSIBLE FLUIDS | half space problem

Half space problem | Maximal regularity | Resolvent estimate | Surface tension | Gravity force | Stokes equation | SYSTEM | DOMAIN | SMALL-TIME EXISTENCE | EQUATIONS | maximal regularity | resolvent estimate | surface tension | SURFACE-TENSION | MATHEMATICS | WAVES | gravity force | INTERFACE | FOURIER MULTIPLIER THEOREMS | VISCOUS INCOMPRESSIBLE FLUIDS | half space problem

Journal Article

Applied Mathematical Modelling, ISSN 0307-904X, 01/2018, Volume 53, pp. 419 - 432

•Love wave propagation in layered viscoelastic materials was analyzed.•Direct Sturm–Liouville problem was formulated and solved numerically.•Love wave...

Eigenvalues | Complex dispersion equation | Elastic waves | Surface acoustic love waves | Sturm–Liouville problem | Viscoelastic waveguides | HIGH-PRESSURE | POROUS LAYER | SENSOR | GRAVITY | PHYSICOCHEMICAL PROPERTIES | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | Sturm-Liouville problem | OLIVE OIL | RAYLEIGH-WAVES | MEDIA | HALF-SPACE | Waveguides | Wave propagation | Seismology | Analysis

Eigenvalues | Complex dispersion equation | Elastic waves | Surface acoustic love waves | Sturm–Liouville problem | Viscoelastic waveguides | HIGH-PRESSURE | POROUS LAYER | SENSOR | GRAVITY | PHYSICOCHEMICAL PROPERTIES | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | Sturm-Liouville problem | OLIVE OIL | RAYLEIGH-WAVES | MEDIA | HALF-SPACE | Waveguides | Wave propagation | Seismology | Analysis

Journal Article

Computers and Geosciences, ISSN 0098-3004, 12/2013, Volume 61, pp. 144 - 151

We present explicit expressions for computing the displacements induced in a homogeneous, linearly elastic half-space by uniform vertical pressure applied over...

Crustal deformation | Numerical techniques | Potential theory | Lithospheric deformation | EARTH | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | GEOSCIENCES, MULTIDISCIPLINARY | MASS | ELASTIC RESPONSE | DRIVEN | DEFORMATION | WATER | Simplification | Half spaces | Rectangles | Mathematical analysis | Mathematical models | Boundaries | Vectors (mathematics) | Flexibility

Crustal deformation | Numerical techniques | Potential theory | Lithospheric deformation | EARTH | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | GEOSCIENCES, MULTIDISCIPLINARY | MASS | ELASTIC RESPONSE | DRIVEN | DEFORMATION | WATER | Simplification | Half spaces | Rectangles | Mathematical analysis | Mathematical models | Boundaries | Vectors (mathematics) | Flexibility

Journal Article

Journal of Mathematical Sciences, ISSN 1072-3374, 7/2019, Volume 240, Issue 2, pp. 184 - 193

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,...

Mathematics, general | Mathematics

Mathematics, general | Mathematics

Journal Article

European Journal of Mechanics / B Fluids, ISSN 0997-7546, 05/2017, Volume 63, pp. 106 - 112

We investigate the hydrodynamic limit of a vapor–noncondensable gas mixture in a pressure gradient between two walls. Earlier papers based on conventional...

Discrete kinetic model | Macroscopic limit | Evaporation and condensation | HALF-SPACE PROBLEM | MIXTURE | PHYSICS, FLUIDS & PLASMAS | KINETIC BOUNDARY-LAYERS | CONTINUUM-LIMIT | PHASE | MECHANICS | MODELS | BOLTZMANN-EQUATION | VAPOR FLOWS

Discrete kinetic model | Macroscopic limit | Evaporation and condensation | HALF-SPACE PROBLEM | MIXTURE | PHYSICS, FLUIDS & PLASMAS | KINETIC BOUNDARY-LAYERS | CONTINUUM-LIMIT | PHASE | MECHANICS | MODELS | BOLTZMANN-EQUATION | VAPOR FLOWS

Journal Article

International Journal for Numerical and Analytical Methods in Geomechanics, ISSN 0363-9061, 06/2014, Volume 38, Issue 9, pp. 925 - 934

SUMMARYThe concentration factor introduced by O. K. Fröhlich is visualized as a procedure for examining the pattern of load transfer from surface loads to the...

integrability of the strains | Boussinesq's solution | load diffusion in a halfspace | compatibility constraints | contact stresses | Fröhlich's concentration factor | uniqueness of solution | elastic nonhomogeneity | Compatibility constraints | Elastic nonhomogeneity | Load diffusion in a halfspace | Uniqueness of solution | Integrability of the strains | Contact stresses | MECHANICS | Frohlich's concentration factor | MATERIALS SCIENCE, MULTIDISCIPLINARY | ENGINEERING, GEOLOGICAL | ELASTIC HALF-SPACE | Stress concentration | Geomechanics | Boussinesq equations | Stress transfer | Mathematical analysis | Continuums | Mathematical models | Strain

integrability of the strains | Boussinesq's solution | load diffusion in a halfspace | compatibility constraints | contact stresses | Fröhlich's concentration factor | uniqueness of solution | elastic nonhomogeneity | Compatibility constraints | Elastic nonhomogeneity | Load diffusion in a halfspace | Uniqueness of solution | Integrability of the strains | Contact stresses | MECHANICS | Frohlich's concentration factor | MATERIALS SCIENCE, MULTIDISCIPLINARY | ENGINEERING, GEOLOGICAL | ELASTIC HALF-SPACE | Stress concentration | Geomechanics | Boussinesq equations | Stress transfer | Mathematical analysis | Continuums | Mathematical models | Strain

Journal Article

Mechanics of Materials, ISSN 0167-6636, 01/2013, Volume 56, pp. 65 - 70

► We consider the contact between a rigid sphere and an elastic half space with surface tension. ► Surface tension affects the pressure distribution on the...

Sphere | Contact problem | Surface tension | MECHANICS | INTERFACE STRESS | NANO-INHOMOGENEITIES | MATERIALS SCIENCE, MULTIDISCIPLINARY | INDENTATION | SOLIDS | ELASTIC HALF-SPACE

Sphere | Contact problem | Surface tension | MECHANICS | INTERFACE STRESS | NANO-INHOMOGENEITIES | MATERIALS SCIENCE, MULTIDISCIPLINARY | INDENTATION | SOLIDS | ELASTIC HALF-SPACE

Journal Article

IEEE Transactions on Geoscience and Remote Sensing, ISSN 0196-2892, 07/2017, Volume 55, Issue 7, pp. 3931 - 3940

To extend hybrid high-frequency shooting and bouncing rays-physical optics (SBR-PO) method to the modeling of electromagnetic (EM) scattering from an object in...

Computational modeling | Electromagnetic scattering | Graphics processing units | Apertures | half-space Green’s function | Green's function methods | Current | shooting and bouncing rays-physical optics (SBR–PO) method | Electromagnetic (EM) scattering | Shooting and bouncing rays-physical optics (SBR-PO) method | Half-space Green's function | GEOCHEMISTRY & GEOPHYSICS | REMOTE SENSING | ALGORITHM | ROUGH-SURFACE | TARGETS | IMAGING SCIENCE & PHOTOGRAPHIC TECHNOLOGY | OBJECT | half-space Green's function | shooting and bouncing rays-physical optics (SBR-PO) method | ENGINEERING, ELECTRICAL & ELECTRONIC | Usage | Computer-generated environments | Computer simulation | Electromagnetic waves | Scattering | Potential theory (Mathematics) | Research | Evaluation | Bouncing | Approximation | Half spaces | Methodology | Shooting | Exact solutions | Optics | Electric currents | Graphics | Fields | Mathematical analysis | Integrals | Physical optics | Computer applications | Frequency | Modelling | Mathematical models | Interactions

Computational modeling | Electromagnetic scattering | Graphics processing units | Apertures | half-space Green’s function | Green's function methods | Current | shooting and bouncing rays-physical optics (SBR–PO) method | Electromagnetic (EM) scattering | Shooting and bouncing rays-physical optics (SBR-PO) method | Half-space Green's function | GEOCHEMISTRY & GEOPHYSICS | REMOTE SENSING | ALGORITHM | ROUGH-SURFACE | TARGETS | IMAGING SCIENCE & PHOTOGRAPHIC TECHNOLOGY | OBJECT | half-space Green's function | shooting and bouncing rays-physical optics (SBR-PO) method | ENGINEERING, ELECTRICAL & ELECTRONIC | Usage | Computer-generated environments | Computer simulation | Electromagnetic waves | Scattering | Potential theory (Mathematics) | Research | Evaluation | Bouncing | Approximation | Half spaces | Methodology | Shooting | Exact solutions | Optics | Electric currents | Graphics | Fields | Mathematical analysis | Integrals | Physical optics | Computer applications | Frequency | Modelling | Mathematical models | Interactions

Journal Article

International Journal of Solids and Structures, ISSN 0020-7683, 06/2012, Volume 49, Issue 13, pp. 1588 - 1594

In the present paper, we consider a two-dimensional contact problem of a rigid cylinder indenting on an elastic half space with surface tension. Based on the...

Cylinder | Contact problem | Surface tension | Indentation | ELEMENTS | MECHANICS | INTERFACE STRESS | UNIDIRECTIONAL NANO-COMPOSITES | BEHAVIOR | SOLIDS | INHOMOGENEITIES | ELASTIC HALF-SPACE | Mechanical properties | Hardness | Elastic modulus | Contact pressure | Mathematical models | Contact stresses | Two dimensional | Contact | Cylinders

Cylinder | Contact problem | Surface tension | Indentation | ELEMENTS | MECHANICS | INTERFACE STRESS | UNIDIRECTIONAL NANO-COMPOSITES | BEHAVIOR | SOLIDS | INHOMOGENEITIES | ELASTIC HALF-SPACE | Mechanical properties | Hardness | Elastic modulus | Contact pressure | Mathematical models | Contact stresses | Two dimensional | Contact | Cylinders

Journal Article

Engineering with Computers, ISSN 0177-0667, 1/2018, Volume 34, Issue 1, pp. 77 - 90

In the present paper, a spectral meshless radial point interpolation (SMRPI) technique is applied to solve the Rayleigh–Stokes problem for a heated generalized...

Radial basis function | Finite difference scheme | Systems Theory, Control | Calculus of Variations and Optimal Control; Optimization | Computer-Aided Engineering (CAD, CAE) and Design | Computer Science | Classical Mechanics | Mathematical and Computational Engineering | Spectral meshless radial point interpolation (SMRPI) method | Math. Applications in Chemistry | Rayleigh–Stokes problem | FINITE DIFFERENCE/SPECTRAL APPROXIMATIONS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | GALERKIN MLPG METHOD | SUB-DIFFUSION EQUATION | Rayleigh-Stokes problem | POROUS HALF-SPACE | FLOWS | ENGINEERING, MECHANICAL | Finite element method | Interpolation | Basis functions | Computational fluid dynamics | Splines | Meshless methods | Collocation methods | Spectra | Stokes law (fluid mechanics) | Shape functions | Convergence

Radial basis function | Finite difference scheme | Systems Theory, Control | Calculus of Variations and Optimal Control; Optimization | Computer-Aided Engineering (CAD, CAE) and Design | Computer Science | Classical Mechanics | Mathematical and Computational Engineering | Spectral meshless radial point interpolation (SMRPI) method | Math. Applications in Chemistry | Rayleigh–Stokes problem | FINITE DIFFERENCE/SPECTRAL APPROXIMATIONS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | GALERKIN MLPG METHOD | SUB-DIFFUSION EQUATION | Rayleigh-Stokes problem | POROUS HALF-SPACE | FLOWS | ENGINEERING, MECHANICAL | Finite element method | Interpolation | Basis functions | Computational fluid dynamics | Splines | Meshless methods | Collocation methods | Spectra | Stokes law (fluid mechanics) | Shape functions | Convergence

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 09/2016, Volume 143, pp. 193 - 210

In this paper, the initial–boundary value problem for p-system with damping in half space is studied with a posed mix boundary condition. The fundamental...

Fundamental solution | Symbols of Green’s function | Initial–boundary value problem for p-system | Pointwise estimate | The Green’s function | Initial-boundary value problem for p-system | Symbols of Green's function | The Green's function | EXISTENCE | MATHEMATICS, APPLIED | LARGE-TIME BEHAVIOR | ASYMPTOTIC-BEHAVIOR | MATHEMATICS | COMPRESSIBLE EULER EQUATIONS | IBVP | NONLINEAR DIFFUSION WAVES | PROFILE | POROUS-MEDIA | HYPERBOLIC CONSERVATION-LAWS | CONVERGENCE-RATES | Boundary value problems | Green's functions | Half spaces | Singularities | Mathematical analysis | Nonlinearity | Initial value problems | Boundaries

Fundamental solution | Symbols of Green’s function | Initial–boundary value problem for p-system | Pointwise estimate | The Green’s function | Initial-boundary value problem for p-system | Symbols of Green's function | The Green's function | EXISTENCE | MATHEMATICS, APPLIED | LARGE-TIME BEHAVIOR | ASYMPTOTIC-BEHAVIOR | MATHEMATICS | COMPRESSIBLE EULER EQUATIONS | IBVP | NONLINEAR DIFFUSION WAVES | PROFILE | POROUS-MEDIA | HYPERBOLIC CONSERVATION-LAWS | CONVERGENCE-RATES | Boundary value problems | Green's functions | Half spaces | Singularities | Mathematical analysis | Nonlinearity | Initial value problems | Boundaries

Journal Article

International Journal of Solids and Structures, ISSN 0020-7683, 08/2013, Volume 50, Issue 16-17, pp. 2620 - 2630

In the literature, it has been demonstrated that residual surface stress and surface elasticity are two equally important parts of surface stress theory and...

Surface effect | Size dependence | Scaling law | Boussinesq problem | Contact mechanics | ENERGY | NANO-INHOMOGENEITIES | INDENTATION | DEPENDENT ELASTIC STATE | MECHANICS | INTERFACE STRESS | FILMS | SOLIDS | HALF-SPACE | STRAIN | NANOWIRES | Nanotechnology | Stresses | Boussinesq equations | Mathematical analysis | Elasticity | Mathematical models | Stiffness | Nanostructure | Contact

Surface effect | Size dependence | Scaling law | Boussinesq problem | Contact mechanics | ENERGY | NANO-INHOMOGENEITIES | INDENTATION | DEPENDENT ELASTIC STATE | MECHANICS | INTERFACE STRESS | FILMS | SOLIDS | HALF-SPACE | STRAIN | NANOWIRES | Nanotechnology | Stresses | Boussinesq equations | Mathematical analysis | Elasticity | Mathematical models | Stiffness | Nanostructure | Contact

Journal Article

Applied Mathematical Modelling, ISSN 0307-904X, 02/2013, Volume 37, Issue 3, pp. 762 - 775

In this work, we consider the problem of a half space in the context of the theory of generalized thermoelasticity with one relaxation time. Realistically, the...

White noise | Stochastic simulation | Generalized thermoelasticity | Half-space | CRACK | 2 RELAXATION-TIMES | THICK PLATE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | TEMPERATURE DISTRIBUTION | SOLIDS | SURFACE | HEAT-CONDUCTION | 2-DIMENSIONAL PROBLEM | Asymptotic expansions | Approximation | Boundary conditions | Thermoelasticity | Inverse | Mathematical models | Laplace transforms | Stochasticity

White noise | Stochastic simulation | Generalized thermoelasticity | Half-space | CRACK | 2 RELAXATION-TIMES | THICK PLATE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | TEMPERATURE DISTRIBUTION | SOLIDS | SURFACE | HEAT-CONDUCTION | 2-DIMENSIONAL PROBLEM | Asymptotic expansions | Approximation | Boundary conditions | Thermoelasticity | Inverse | Mathematical models | Laplace transforms | Stochasticity

Journal Article

Journal of Differential Equations, ISSN 0022-0396, 12/2017, Volume 263, Issue 11, pp. 7372 - 7411

In this paper, we consider the half space problem for Euler equations with damping in 3-D. We restudy the fundamental solution for the Cauchy problem to obtain...

Half space problem | Pointwise structure | Green's function | Euler equations | Symbols in transformed domain | EXISTENCE | LARGE-TIME BEHAVIOR | P-SYSTEM | THROUGH POROUS-MEDIA | FLOW | ASYMPTOTIC-BEHAVIOR | MATHEMATICS | NONLINEAR DIFFUSION WAVES | BOUNDARY VALUE-PROBLEM | HYPERBOLIC CONSERVATION-LAWS | CONVERGENCE-RATES

Half space problem | Pointwise structure | Green's function | Euler equations | Symbols in transformed domain | EXISTENCE | LARGE-TIME BEHAVIOR | P-SYSTEM | THROUGH POROUS-MEDIA | FLOW | ASYMPTOTIC-BEHAVIOR | MATHEMATICS | NONLINEAR DIFFUSION WAVES | BOUNDARY VALUE-PROBLEM | HYPERBOLIC CONSERVATION-LAWS | CONVERGENCE-RATES

Journal Article