Numerische Mathematik, ISSN 0029-599X, 2015, Volume 130, Issue 1, pp. 151 - 197

We derive a new a posteriori error estimator for the Signorini problem. It generalizes the standard residual-type estimators for unconstrained problems in...

35J86 | 65N15 | 74G15 | 74S05 | 65N30 | VARIATIONAL-INEQUALITIES | ELASTICITY | MATHEMATICS, APPLIED | ELLIPTIC OBSTACLE PROBLEMS | CONTACT PROBLEMS

35J86 | 65N15 | 74G15 | 74S05 | 65N30 | VARIATIONAL-INEQUALITIES | ELASTICITY | MATHEMATICS, APPLIED | ELLIPTIC OBSTACLE PROBLEMS | CONTACT PROBLEMS

Journal Article

Numerische Mathematik, ISSN 0029-599X, 7/2019, Volume 142, Issue 3, pp. 465 - 523

The article focuses on adaptive finite element methods for frictional contact problems. The approach is based on a reformulation of the mixed form of the...

65N15 | 74G15 | 35J86 | Mathematical Methods in Physics | 74S05 | Numerical Analysis | Theoretical, Mathematical and Computational Physics | Mathematical and Computational Engineering | Mathematics, general | Mathematics | Numerical and Computational Physics, Simulation | 65N30 | MATHEMATICS, APPLIED | DISCRETIZATION | POSTERIORI ERROR ESTIMATION | EFFICIENT | ESTIMATORS | FEM

65N15 | 74G15 | 35J86 | Mathematical Methods in Physics | 74S05 | Numerical Analysis | Theoretical, Mathematical and Computational Physics | Mathematical and Computational Engineering | Mathematics, general | Mathematics | Numerical and Computational Physics, Simulation | 65N30 | MATHEMATICS, APPLIED | DISCRETIZATION | POSTERIORI ERROR ESTIMATION | EFFICIENT | ESTIMATORS | FEM

Journal Article

Numerische Mathematik, ISSN 0029-599X, 5/2018, Volume 139, Issue 1, pp. 93 - 120

The tangential-displacement normal-normal-stress (TDNNS) method is a finite element method for mixed elasticity. As the name suggests, the tangential component...

74G15 | Mathematical Methods in Physics | Secondary 74S05 | Numerical Analysis | Theoretical, Mathematical and Computational Physics | Mathematical and Computational Engineering | Mathematics, general | Mathematics | Numerical and Computational Physics, Simulation | Primary 65N30 | ELASTICITY | MATHEMATICS, APPLIED | LIPSCHITZ POLYHEDRA | MIXED FINITE-ELEMENTS | H(CURL) | TRACES | Mathematics - Numerical Analysis

74G15 | Mathematical Methods in Physics | Secondary 74S05 | Numerical Analysis | Theoretical, Mathematical and Computational Physics | Mathematical and Computational Engineering | Mathematics, general | Mathematics | Numerical and Computational Physics, Simulation | Primary 65N30 | ELASTICITY | MATHEMATICS, APPLIED | LIPSCHITZ POLYHEDRA | MIXED FINITE-ELEMENTS | H(CURL) | TRACES | Mathematics - Numerical Analysis

Journal Article

Journal of Mathematical Biology, ISSN 0303-6812, 4/2019, Volume 78, Issue 5, pp. 1277 - 1298

We develop a mathematical model for a small axisymmetric tear in a residually stressed and axially pre-stretched cylindrical tube. The residual stress is...

Arterial dissection | Mathematical and Computational Biology | Axial pre-stretch | Mathematics | 74R99 | 74L15 | Axisymmetric tear | 74G15 | 74B15 | Aortic dissection | Holzapfel–Gasser–Ogden strain-energy | 74E30 | Applications of Mathematics | Incremental deformation | Residual stress | 92C50 | Holzapfel-Gasser-Ogden strain-energy | BIOLOGY | MATHEMATICAL & COMPUTATIONAL BIOLOGY | Physiological aspects | Usage | Models | Mathematical models | Arteries | Axisymmetric | Deformation | Numerical methods | Equilibrium equations | Boundary conditions | Fibers | Strain | Tearing | Energy | Collagen | Aorta | Blood pressure | Dissection | Cylinders

Arterial dissection | Mathematical and Computational Biology | Axial pre-stretch | Mathematics | 74R99 | 74L15 | Axisymmetric tear | 74G15 | 74B15 | Aortic dissection | Holzapfel–Gasser–Ogden strain-energy | 74E30 | Applications of Mathematics | Incremental deformation | Residual stress | 92C50 | Holzapfel-Gasser-Ogden strain-energy | BIOLOGY | MATHEMATICAL & COMPUTATIONAL BIOLOGY | Physiological aspects | Usage | Models | Mathematical models | Arteries | Axisymmetric | Deformation | Numerical methods | Equilibrium equations | Boundary conditions | Fibers | Strain | Tearing | Energy | Collagen | Aorta | Blood pressure | Dissection | Cylinders

Journal Article

Journal of Mathematical Biology, ISSN 0303-6812, 6/2008, Volume 56, Issue 6, pp. 793 - 825

We present a framework for modeling gliomas growth and their mechanical impact on the surrounding brain tissue (the so-called, mass-effect). We employ an...

Mathematics | 74S10 | 74S20 | 74L15 | 92C55 | 74G15 | 92C10 | 92B05 | 92C15 | 74G75 | Mathematical Biology in General | Applications of Mathematics | 65K99 | 92C50 | BIOMECHANICAL MODEL | PARALLEL PATTERN SEARCH | SOLID TUMOR-GROWTH | WHITE-MATTER | IN-VIVO | BIOLOGY | MATHEMATICAL & COMPUTATIONAL BIOLOGY | CENTRAL-NERVOUS-SYSTEM | OPTIMIZATION | REGISTRATION | DEFORMATION | BRAIN-TUMORS | Growth | Neoplasm Invasiveness | Artificial Intelligence | Humans | Image Interpretation, Computer-Assisted - methods | Brain Neoplasms - pathology | Subtraction Technique | Magnetic Resonance Imaging | Biomechanical Phenomena | Image Processing, Computer-Assisted | Numerical Analysis, Computer-Assisted | Models, Biological | Glioma - pathology | Brain - pathology | Pattern Recognition, Automated | Diffusion

Mathematics | 74S10 | 74S20 | 74L15 | 92C55 | 74G15 | 92C10 | 92B05 | 92C15 | 74G75 | Mathematical Biology in General | Applications of Mathematics | 65K99 | 92C50 | BIOMECHANICAL MODEL | PARALLEL PATTERN SEARCH | SOLID TUMOR-GROWTH | WHITE-MATTER | IN-VIVO | BIOLOGY | MATHEMATICAL & COMPUTATIONAL BIOLOGY | CENTRAL-NERVOUS-SYSTEM | OPTIMIZATION | REGISTRATION | DEFORMATION | BRAIN-TUMORS | Growth | Neoplasm Invasiveness | Artificial Intelligence | Humans | Image Interpretation, Computer-Assisted - methods | Brain Neoplasms - pathology | Subtraction Technique | Magnetic Resonance Imaging | Biomechanical Phenomena | Image Processing, Computer-Assisted | Numerical Analysis, Computer-Assisted | Models, Biological | Glioma - pathology | Brain - pathology | Pattern Recognition, Automated | Diffusion

Journal Article

Applicable Analysis, ISSN 0003-6811, 04/2019, Volume 98, Issue 6, pp. 1085 - 1103

We consider numerical analysis of a variational problem arising from materials science. The target functional is a type of Euler's elastica energy that is...

74G15 | obstacle problem | elastica | convergence | 74G65 | Euler's elastica energy | finite difference method | Euler’s elastica energy | (Formula presented.)-convergence | EXISTENCE | MATHEMATICS, APPLIED | APPROXIMATION | REGULARITY | CURVES | Materials science | Numerical analysis | Adhesive strength | Euler-Lagrange equation | Convergence | Elastica

74G15 | obstacle problem | elastica | convergence | 74G65 | Euler's elastica energy | finite difference method | Euler’s elastica energy | (Formula presented.)-convergence | EXISTENCE | MATHEMATICS, APPLIED | APPROXIMATION | REGULARITY | CURVES | Materials science | Numerical analysis | Adhesive strength | Euler-Lagrange equation | Convergence | Elastica

Journal Article

Journal of Elasticity, ISSN 0374-3535, 3/2018, Volume 131, Issue 1, pp. 1 - 17

We verify the objectivity (invariance to rigid body rotations) ordinary state-based peridynamic models published in the literature that differ in their...

Large rotations | Classical Mechanics | Elasticity | Peridynamics | Physics | Volume dilatation | 74G15 | Objectivity | 74B05 | Ordinary state-based formulation | 74G65 | Automotive Engineering | 74A45 | 74G70 | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | MATERIALS SCIENCE, MULTIDISCIPLINARY | SOLID MECHANICS | ADAPTIVE REFINEMENT | HORIZON | Formulations | Deformation mechanisms | Rigid-body dynamics | Mathematical models | Poissons ratio | Equations of motion | Stretching

Large rotations | Classical Mechanics | Elasticity | Peridynamics | Physics | Volume dilatation | 74G15 | Objectivity | 74B05 | Ordinary state-based formulation | 74G65 | Automotive Engineering | 74A45 | 74G70 | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | MATERIALS SCIENCE, MULTIDISCIPLINARY | SOLID MECHANICS | ADAPTIVE REFINEMENT | HORIZON | Formulations | Deformation mechanisms | Rigid-body dynamics | Mathematical models | Poissons ratio | Equations of motion | Stretching

Journal Article

International Journal of Solids and Structures, ISSN 0020-7683, 2011, Volume 48, Issue 6, pp. 874 - 883

This paper provides examples of the numerical solution of boundary-value problems in nonlinear magnetoelasticity involving finite geometry based on the...

74G15 | 74F15 | Magnetoelasticity | Finite deformation | Numerical solution | Boundary-value problems | 74B20 | Nonlinear elasticity | MAGNETORHEOLOGICAL ELASTOMERS | MECHANICS | RUBBER-LIKE SOLIDS | DEFORMATIONS | MAGNETIC-FIELD | COMPOSITES | MODEL | Magnetic fields | Boundary value problems | Deformation | Mathematical analysis | Blocking | Shear stress | Nonlinearity | Mathematical models

74G15 | 74F15 | Magnetoelasticity | Finite deformation | Numerical solution | Boundary-value problems | 74B20 | Nonlinear elasticity | MAGNETORHEOLOGICAL ELASTOMERS | MECHANICS | RUBBER-LIKE SOLIDS | DEFORMATIONS | MAGNETIC-FIELD | COMPOSITES | MODEL | Magnetic fields | Boundary value problems | Deformation | Mathematical analysis | Blocking | Shear stress | Nonlinearity | Mathematical models

Journal Article

Advances in Difference Equations, ISSN 1687-1839, 12/2019, Volume 2019, Issue 1, pp. 1 - 15

In this paper, we study the Legendre spectral element method for solving the sine-Gordon equation in one dimension. Firstly, we discretize the equation by...

Leap-frog method | 65M06 | Mathematics | 74G15 | Ordinary Differential Equations | Functional Analysis | 65M70 | Analysis | Sine-Gordon equation | Legendre spectral element method | Difference and Functional Equations | Mathematics, general | Partial Differential Equations | MATHEMATICS | MATHEMATICS, APPLIED | NUMERICAL-SOLUTION | APPROXIMATION | FLOW | Spectral element method | Spectra | Nonlinear programming | Convergence

Leap-frog method | 65M06 | Mathematics | 74G15 | Ordinary Differential Equations | Functional Analysis | 65M70 | Analysis | Sine-Gordon equation | Legendre spectral element method | Difference and Functional Equations | Mathematics, general | Partial Differential Equations | MATHEMATICS | MATHEMATICS, APPLIED | NUMERICAL-SOLUTION | APPROXIMATION | FLOW | Spectral element method | Spectra | Nonlinear programming | Convergence

Journal Article

International Journal of Computer Mathematics, ISSN 0020-7160, 05/2017, Volume 94, Issue 5, pp. 933 - 945

This paper proposes a mathematical method to solve the equilibrium equations of a membrane with rigid and cable boundaries for the so-called prestressing...

74G15 | cable boundary | 74S05 | finite element | Membrane | 74S20 | finite difference | 35J25 | rigid boundary | elliptic problem | MATHEMATICS, APPLIED | MASONRY DOMES | VAULTS | Mathematical problems | Equilibrium | Membranes | Mathematical analysis | Equilibrium equations | Mathematical models | Boundaries | Curvature | Finite difference method | Cables

74G15 | cable boundary | 74S05 | finite element | Membrane | 74S20 | finite difference | 35J25 | rigid boundary | elliptic problem | MATHEMATICS, APPLIED | MASONRY DOMES | VAULTS | Mathematical problems | Equilibrium | Membranes | Mathematical analysis | Equilibrium equations | Mathematical models | Boundaries | Curvature | Finite difference method | Cables

Journal Article

Zeitschrift für angewandte Mathematik und Physik, ISSN 0044-2275, 2/2017, Volume 68, Issue 1, pp. 1 - 18

A 2D elastic problem for a body containing a set of bulk and thin rigid inclusions of arbitrary shapes is considered. It is assumed that rigid inclusions are...

35J50 | 74S05 | 65N38 | Bulk rigid inclusion | 35Q74 | Theoretical and Applied Mechanics | FEM | Engineering | 74G15 | Mathematical Methods in Physics | 74E05 | Thin rigid inclusion | Variational approach | Numerical algorithm | STRESS-CONCENTRATION | MATHEMATICS, APPLIED | CAVITIES | FIELD | CRACK | LINE INCLUSION | Algorithms

35J50 | 74S05 | 65N38 | Bulk rigid inclusion | 35Q74 | Theoretical and Applied Mechanics | FEM | Engineering | 74G15 | Mathematical Methods in Physics | 74E05 | Thin rigid inclusion | Variational approach | Numerical algorithm | STRESS-CONCENTRATION | MATHEMATICS, APPLIED | CAVITIES | FIELD | CRACK | LINE INCLUSION | Algorithms

Journal Article

Journal of Nonlinear Science, ISSN 0938-8974, 2/2018, Volume 28, Issue 1, pp. 235 - 268

We provide a numerical study of the macroscopic model of Barré et al. (Multiscale Model Simul, 2017, to appear) derived from an agent-based model for a system...

Diffusion approximation | Aggregation–diffusion equation | 65T50 | 82C21 | 82C22 | Theoretical, Mathematical and Computational Physics | Mean-field limit | 65L07 | Classical Mechanics | Economic Theory/Quantitative Economics/Mathematical Methods | Fourier analysis | Bifurcations | Mathematics | Microscopic model | 82C31 | Phase transitions | Dynamical networks | Cross-links | 74G15 | Analysis | Mathematical and Computational Engineering | Kinetic equation | MATHEMATICS, APPLIED | Aggregation-diffusion equation | STATES | EQUATIONS | PHYSICS, MATHEMATICAL | FLOW | MECHANICS | CONTINUUM MODEL | Numerical analysis | Physics - Statistical Mechanics

Diffusion approximation | Aggregation–diffusion equation | 65T50 | 82C21 | 82C22 | Theoretical, Mathematical and Computational Physics | Mean-field limit | 65L07 | Classical Mechanics | Economic Theory/Quantitative Economics/Mathematical Methods | Fourier analysis | Bifurcations | Mathematics | Microscopic model | 82C31 | Phase transitions | Dynamical networks | Cross-links | 74G15 | Analysis | Mathematical and Computational Engineering | Kinetic equation | MATHEMATICS, APPLIED | Aggregation-diffusion equation | STATES | EQUATIONS | PHYSICS, MATHEMATICAL | FLOW | MECHANICS | CONTINUUM MODEL | Numerical analysis | Physics - Statistical Mechanics

Journal Article

Applied Mathematics and Mechanics, ISSN 0253-4827, 9/2018, Volume 39, Issue 9, pp. 1219 - 1238

The purpose of the present study is to examine the impact of initial geometric imperfection on the nonlinear dynamical characteristics of functionally graded...

O242.2 | Classical Mechanics | 82D60 | Mathematics | 82B21 | 82D80 | O32 | 74G15 | 74K20 | 74H45 | nonlinear dynamical characteristics | imperfect functionally graded carbon nanotube-reinforced composite (FG-CNTRC) rectangular plate | Applications of Mathematics | Mathematical Modeling and Industrial Mathematics | geometric imperfection sensitivity | MATHEMATICS, APPLIED | STABILITY | BEAMS | SENSITIVITY | FORCED VIBRATION ANALYSIS | MECHANICS | BUCKLING ANALYSIS | POSTBUCKLING BEHAVIOR | SHELLS | MOLECULAR-DYNAMICS SIMULATIONS | FOUNDATIONS | EFFICIENT | Hamiltonian systems | Usage | Nanotubes | Resonance | Models | Mathematical models | Fibrous composites | Properties

O242.2 | Classical Mechanics | 82D60 | Mathematics | 82B21 | 82D80 | O32 | 74G15 | 74K20 | 74H45 | nonlinear dynamical characteristics | imperfect functionally graded carbon nanotube-reinforced composite (FG-CNTRC) rectangular plate | Applications of Mathematics | Mathematical Modeling and Industrial Mathematics | geometric imperfection sensitivity | MATHEMATICS, APPLIED | STABILITY | BEAMS | SENSITIVITY | FORCED VIBRATION ANALYSIS | MECHANICS | BUCKLING ANALYSIS | POSTBUCKLING BEHAVIOR | SHELLS | MOLECULAR-DYNAMICS SIMULATIONS | FOUNDATIONS | EFFICIENT | Hamiltonian systems | Usage | Nanotubes | Resonance | Models | Mathematical models | Fibrous composites | Properties

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 11/2016, Volume 171, Issue 2, pp. 422 - 439

In this paper, we present a novel numerical solution procedure for semicoercive hemivariational inequalities. As a concrete example, we consider a unilateral...

Smoothing approximation | Hemivariational inequality | 74S05 | Mathematics | Theory of Computation | Finite element discretization | 74M15 | Semicoercivity | Optimization | Unilateral contact | 74G15 | Pseudomonotone bifunction | Calculus of Variations and Optimal Control; Optimization | Plus function | Applications of Mathematics | Engineering, general | Operation Research/Decision Theory | MATHEMATICS, APPLIED | NONCOERCIVE HEMIVARIATIONAL INEQUALITIES | COERCIVE | DISCRETIZATION | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | EQUILIBRIUM PROBLEMS | REGULARIZATION | Aerospace engineering | Studies | Finite element analysis | Data smoothing | Mathematical analysis | Friction | Inequalities | Concrete blocks | Benchmarking | Mathematical models | Elastic deformation | Contact

Smoothing approximation | Hemivariational inequality | 74S05 | Mathematics | Theory of Computation | Finite element discretization | 74M15 | Semicoercivity | Optimization | Unilateral contact | 74G15 | Pseudomonotone bifunction | Calculus of Variations and Optimal Control; Optimization | Plus function | Applications of Mathematics | Engineering, general | Operation Research/Decision Theory | MATHEMATICS, APPLIED | NONCOERCIVE HEMIVARIATIONAL INEQUALITIES | COERCIVE | DISCRETIZATION | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | EQUILIBRIUM PROBLEMS | REGULARIZATION | Aerospace engineering | Studies | Finite element analysis | Data smoothing | Mathematical analysis | Friction | Inequalities | Concrete blocks | Benchmarking | Mathematical models | Elastic deformation | Contact

Journal Article

Afrika Matematika, ISSN 1012-9405, 6/2018, Volume 29, Issue 3, pp. 435 - 449

In this article, our main motivation is to present two-step with memory iterative methods for solving nonlinear equations. We attempted to convert the existing...

74G15 | 34G20 | With memory scheme | Mathematics, general | Mathematics Education | Iterative method | Mathematics | History of Mathematical Sciences | Applications of Mathematics | Computational efficiency | Hermite interpolation polynomial | Numerical result

74G15 | 34G20 | With memory scheme | Mathematics, general | Mathematics Education | Iterative method | Mathematics | History of Mathematical Sciences | Applications of Mathematics | Computational efficiency | Hermite interpolation polynomial | Numerical result

Journal Article

Advances in Computational Mathematics, ISSN 1019-7168, 8/2016, Volume 42, Issue 4, pp. 995 - 1012

In this paper, Haar wavelets method is used to solve Poisson equations in the presence of interfaces where the solution itself may be discontinuous. The...

Visualization | 74G15 | Computational Mathematics and Numerical Analysis | Mathematical and Computational Biology | Differential equation | Haar wavelet | Mathematics | Mathematical Modeling and Industrial Mathematics | Computational Science and Engineering | Irregular domain | 35J25 | 76M22 | SPECTRAL COLLOCATION | MATHEMATICS, APPLIED | BIHARMONIC-EQUATIONS | FINITE-DIFFERENCE METHOD | BOUNDARY | Poisson's equation | Wavelet transforms | Analysis

Visualization | 74G15 | Computational Mathematics and Numerical Analysis | Mathematical and Computational Biology | Differential equation | Haar wavelet | Mathematics | Mathematical Modeling and Industrial Mathematics | Computational Science and Engineering | Irregular domain | 35J25 | 76M22 | SPECTRAL COLLOCATION | MATHEMATICS, APPLIED | BIHARMONIC-EQUATIONS | FINITE-DIFFERENCE METHOD | BOUNDARY | Poisson's equation | Wavelet transforms | Analysis

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 9/2014, Volume 162, Issue 3, pp. 754 - 778

This paper presents a study of regularization techniques of nondifferentiable optimization with focus to the application to a special class of hemivariational...

Smoothing approximation | 74S05 | Mathematics | Theory of Computation | Finite element discretization | 74R99 | 74M15 | Optimization | Delamination problem | 74G15 | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Hemivariational inequalities | Plus function | Applications of Mathematics | Engineering, general | MATHEMATICS, APPLIED | COMPLEMENTARITY | FRICTIONAL CONTACT | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | SMOOTHING NEWTON METHOD | CONTACT PROBLEMS | CONVERGENCE | NONSMOOTH | Laminated materials | Methods | Aerospace engineering | Delaminating | Inequalities | Mathematical models | Composite structures | Regularization | Delamination | Convergence

Smoothing approximation | 74S05 | Mathematics | Theory of Computation | Finite element discretization | 74R99 | 74M15 | Optimization | Delamination problem | 74G15 | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Hemivariational inequalities | Plus function | Applications of Mathematics | Engineering, general | MATHEMATICS, APPLIED | COMPLEMENTARITY | FRICTIONAL CONTACT | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | SMOOTHING NEWTON METHOD | CONTACT PROBLEMS | CONVERGENCE | NONSMOOTH | Laminated materials | Methods | Aerospace engineering | Delaminating | Inequalities | Mathematical models | Composite structures | Regularization | Delamination | Convergence

Journal Article

18.
Full Text
Numerical technique for solving truss and plane problems for a new class of elastic bodies

Acta Mechanica, ISSN 0001-5970, 11/2016, Volume 227, Issue 11, pp. 3147 - 3176

It is customary to use a displacement-based formulation to seek solutions to boundary value problems for its computational efficacy. In displacement-based...

Engineering | Vibration, Dynamical Systems, Control | 74G15 | Classical and Continuum Physics | Engineering Thermodynamics, Heat and Mass Transfer | Theoretical and Applied Mechanics | 74B20 | 74G70 | 74S30 | Continuum Mechanics and Mechanics of Materials | Structural Mechanics | ELLIPTIC PROBLEMS | MECHANICS | MODELS | STABILITY | SOLIDS | FINITE-ELEMENT METHODS | SMALL STRAIN | Mathematical problems | Numerical analysis | Materials elasticity | Stresses | Constitutive relationships | Effectiveness | Planes | Mathematical analysis | Equilibrium equations | Mathematical models | Displacement

Engineering | Vibration, Dynamical Systems, Control | 74G15 | Classical and Continuum Physics | Engineering Thermodynamics, Heat and Mass Transfer | Theoretical and Applied Mechanics | 74B20 | 74G70 | 74S30 | Continuum Mechanics and Mechanics of Materials | Structural Mechanics | ELLIPTIC PROBLEMS | MECHANICS | MODELS | STABILITY | SOLIDS | FINITE-ELEMENT METHODS | SMALL STRAIN | Mathematical problems | Numerical analysis | Materials elasticity | Stresses | Constitutive relationships | Effectiveness | Planes | Mathematical analysis | Equilibrium equations | Mathematical models | Displacement

Journal Article

Electronic Journal of Statistics, ISSN 1935-7524, 2018, Volume 12, Issue 1, pp. 851 - 889

We derive explicit bounds for the computation of normalizing constants Z for log-concave densities pi = e(-U)/Z w.r.t. the Lebesgue measure on R-d . Our...

Annealed importance sampling | Bayes factor | Normalizing constants | Unadjusted langevin algorithm | STATISTICS & PROBABILITY | annealed importance sampling | Unadjusted Langevin Algorithm | FREE-ENERGY | Methodology | Applications | Statistics | Statistics Theory

Annealed importance sampling | Bayes factor | Normalizing constants | Unadjusted langevin algorithm | STATISTICS & PROBABILITY | annealed importance sampling | Unadjusted Langevin Algorithm | FREE-ENERGY | Methodology | Applications | Statistics | Statistics Theory

Journal Article