Journal of Optimization Theory and Applications, ISSN 0022-3239, 12/2017, Volume 175, Issue 3, pp. 718 - 737

The aim of this paper is to propose a new formulation of the fractional optimal control problems involving Mittag–Leffler nonsingular kernel. By using the...

33E12 | Fractional optimal control | 26A33 | Mathematics | Theory of Computation | Mittag–Leffler kernel | Euler method | Optimization | Fractional calculus | 49K99 | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Applications of Mathematics | Engineering, general | 49XX | SCHEME | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | CALCULUS | MODEL | Mittag-Leffler kernel | EQUATION | Numerical analysis | Economic models | Lagrange multiplier | Boundary value problems | Convolution | Computer simulation | Lagrange multipliers | Mathematical analysis | Optimal control | Calculus of variations

33E12 | Fractional optimal control | 26A33 | Mathematics | Theory of Computation | Mittag–Leffler kernel | Euler method | Optimization | Fractional calculus | 49K99 | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Applications of Mathematics | Engineering, general | 49XX | SCHEME | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | CALCULUS | MODEL | Mittag-Leffler kernel | EQUATION | Numerical analysis | Economic models | Lagrange multiplier | Boundary value problems | Convolution | Computer simulation | Lagrange multipliers | Mathematical analysis | Optimal control | Calculus of variations

Journal Article

2.
Full Text
Computational electromagnetism

: variational formulations, complementarity, edge elements

1998, Electromagnetism, ISBN 0121187101, 375

Computational Electromagnetism refers to the modern concept of computer-aided analysis, and design, of virtually all electric devices such as motors, machines,...

Complementarity (Physics) | Mathematics | Electromagnetism | Calculus of variations | Maxwell equations | Physics

Complementarity (Physics) | Mathematics | Electromagnetism | Calculus of variations | Maxwell equations | Physics

eBook

Nonlinear Dynamics, ISSN 0924-090X, 2015, Volume 80, Issue 1-2, pp. 167 - 175

The fractional variational principles beside the semi-inverse technique are applied to derive the space-time fractional Boussinesq equation. The semi-inverse...

Periodic, Soliton and explosive waves | Space–time fractional Boussinesq equation | Semi-inverse method | Fractional sub-equation method | Fractional variational principles | DERIVATION | CLASSICAL FIELDS | Space-time fractional Boussinesq equation | CALCULUS | MODEL | ENGINEERING, MECHANICAL | AMPLITUDE LONG WAVES | MECHANICS | NONLINEAR DISPERSIVE MEDIA | SYSTEMS | LATTICE | Boussinesq equations | Mathematical analysis | Triangles | Rational functions | Derivatives | Euler-Lagrange equation | Variational principles | Solitary waves | Inverse method | Nonlinearity | Explosions

Periodic, Soliton and explosive waves | Space–time fractional Boussinesq equation | Semi-inverse method | Fractional sub-equation method | Fractional variational principles | DERIVATION | CLASSICAL FIELDS | Space-time fractional Boussinesq equation | CALCULUS | MODEL | ENGINEERING, MECHANICAL | AMPLITUDE LONG WAVES | MECHANICS | NONLINEAR DISPERSIVE MEDIA | SYSTEMS | LATTICE | Boussinesq equations | Mathematical analysis | Triangles | Rational functions | Derivatives | Euler-Lagrange equation | Variational principles | Solitary waves | Inverse method | Nonlinearity | Explosions

Journal Article

Composites Part B, ISSN 1359-8368, 07/2016, Volume 96, pp. 173 - 203

Engineering applications in conventional numerical modeling are investigated by domain decomposition techniques because, generally, structural components do...

C. Numerical analysis | Strong Formulation Finite Element Method | A. Layered structures | B. Vibration | C. Computational modeling | Vibration | Computational modeling | THERMO-ELASTIC COMPOSITE | DYNAMIC STIFFNESS METHOD | HIGHER-ORDER THEORIES | MATERIALS SCIENCE, COMPOSITES | DIFFERENTIAL QUADRATURE METHOD | LOCAL GDQ METHOD | Numerical analysis | DOUBLY-CURVED SHELLS | ENGINEERING, MULTIDISCIPLINARY | Layered structures | A-POSTERIORI SHEAR | FUNCTIONALLY GRADED PLATES | FINITE-ELEMENT-METHOD | FREE-VIBRATION ANALYSIS | Laminated materials | Analysis | Computer-generated environments | Computer simulation | Finite element method | Discontinuity | Methodology | Mathematical analysis | Mathematical models | Polynomials | Mapping | Blending effects

C. Numerical analysis | Strong Formulation Finite Element Method | A. Layered structures | B. Vibration | C. Computational modeling | Vibration | Computational modeling | THERMO-ELASTIC COMPOSITE | DYNAMIC STIFFNESS METHOD | HIGHER-ORDER THEORIES | MATERIALS SCIENCE, COMPOSITES | DIFFERENTIAL QUADRATURE METHOD | LOCAL GDQ METHOD | Numerical analysis | DOUBLY-CURVED SHELLS | ENGINEERING, MULTIDISCIPLINARY | Layered structures | A-POSTERIORI SHEAR | FUNCTIONALLY GRADED PLATES | FINITE-ELEMENT-METHOD | FREE-VIBRATION ANALYSIS | Laminated materials | Analysis | Computer-generated environments | Computer simulation | Finite element method | Discontinuity | Methodology | Mathematical analysis | Mathematical models | Polynomials | Mapping | Blending effects

Journal Article

Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 12/2017, Volume 327, pp. 352 - 368

In this paper we present an accurate stabilized FIC-FEM formulation for the multidimensional steady-state advection–diffusion–absorption equation. The...

Finite element method | Finite increment calculus | Advection–diffusion–absorption | MAXIMUM PRINCIPLE | LEAST-SQUARES METHOD | FINITE-ELEMENT METHODS | CONVECTION-DOMINATED FLOWS | HIGH REYNOLDS-NUMBERS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | Advection-diffusion-absorption | ENGINEERING, MULTIDISCIPLINARY | INCOMPRESSIBLE FLOWS | POINT METHOD | COMPUTATIONAL FLUID-DYNAMICS | PETROV-GALERKIN METHODS | CALCULUS FORMULATION | Differential equations | Models matemàtics | Mètodes en elements finits | Fluid dynamics | Dinàmica de fluids | Física | Anàlisi numèrica | Matemàtiques i estadística | Mathematical models | Àrees temàtiques de la UPC | Física de fluids

Finite element method | Finite increment calculus | Advection–diffusion–absorption | MAXIMUM PRINCIPLE | LEAST-SQUARES METHOD | FINITE-ELEMENT METHODS | CONVECTION-DOMINATED FLOWS | HIGH REYNOLDS-NUMBERS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | Advection-diffusion-absorption | ENGINEERING, MULTIDISCIPLINARY | INCOMPRESSIBLE FLOWS | POINT METHOD | COMPUTATIONAL FLUID-DYNAMICS | PETROV-GALERKIN METHODS | CALCULUS FORMULATION | Differential equations | Models matemàtics | Mètodes en elements finits | Fluid dynamics | Dinàmica de fluids | Física | Anàlisi numèrica | Matemàtiques i estadística | Mathematical models | Àrees temàtiques de la UPC | Física de fluids

Journal Article

Mathematical Programming, ISSN 0025-5610, 10/2015, Volume 153, Issue 1, pp. 5 - 11

In this note, we consider the permutahedron, the convex hull of all permutations of $$\{1,2\ldots ,n\}$$ { 1 , 2 … , n } . We show how to obtain an extended...

Compact formulations | 90C10 | Mathematical Methods in Physics | Extended formulations | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | Theoretical, Mathematical and Computational Physics | Sorting networks | Mathematics | Permutahedron | Combinatorics | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Studies | Geometry | Optimization algorithms | Theorems | Mathematical models | Mathematical programming | Networks | Mathematical analysis | Inequalities | Texts | Constants | Hulls (structures) | Optimization | Sorting

Compact formulations | 90C10 | Mathematical Methods in Physics | Extended formulations | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | Theoretical, Mathematical and Computational Physics | Sorting networks | Mathematics | Permutahedron | Combinatorics | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Studies | Geometry | Optimization algorithms | Theorems | Mathematical models | Mathematical programming | Networks | Mathematical analysis | Inequalities | Texts | Constants | Hulls (structures) | Optimization | Sorting

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2002, Volume 272, Issue 1, pp. 368 - 379

This paper presents extensions to traditional calculus of variations for systems containing fractional derivatives. The fractional derivative is described in...

Fractional optimal control | Fractional variational problems | Fractional calculus | Fractional derivative | Fractional calculus of variations | MATHEMATICS | MATHEMATICS, APPLIED | fractional calculus | fractional optimal control | fractional calculus of variations | fractional derivative | fractional variational problems

Fractional optimal control | Fractional variational problems | Fractional calculus | Fractional derivative | Fractional calculus of variations | MATHEMATICS | MATHEMATICS, APPLIED | fractional calculus | fractional optimal control | fractional calculus of variations | fractional derivative | fractional variational problems

Journal Article

Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 01/2016, Volume 298, pp. 373 - 406

In this paper we present an accurate stabilized FIC-FEM formulation for the 1D advection–diffusion–reaction equation in the exponential and propagation regimes...

Finite element method | FIC | Advection–diffusion–reaction | Finite increment calculus | Advection-diffusion-reaction | NUMERICAL-METHODS | MAXIMUM PRINCIPLE | LEAST-SQUARES METHOD | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | INCOMPRESSIBLE FLOWS | BUBBLE FUNCTIONS | COMPUTATIONAL FLUID-DYNAMICS | PETROV-GALERKIN METHODS | SHARP GRADIENTS | CALCULUS FORMULATION | FINITE-ELEMENT-METHOD | Differential equations

Finite element method | FIC | Advection–diffusion–reaction | Finite increment calculus | Advection-diffusion-reaction | NUMERICAL-METHODS | MAXIMUM PRINCIPLE | LEAST-SQUARES METHOD | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | INCOMPRESSIBLE FLOWS | BUBBLE FUNCTIONS | COMPUTATIONAL FLUID-DYNAMICS | PETROV-GALERKIN METHODS | SHARP GRADIENTS | CALCULUS FORMULATION | FINITE-ELEMENT-METHOD | Differential equations

Journal Article

Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 09/2015, Volume 92, Issue 6

This paper examines the properties of "lattice universes" wherein point masses are arranged in a regular lattice on spacelike hypersurfaces; open, flat, and...

EVOLUTION | COSMOLOGICAL VOID MODELS | LARGE-SCALE STRUCTURE | ASTRONOMY & ASTROPHYSICS | DARK ENERGY | REGGE CALCULUS | PHYSICS, PARTICLES & FIELDS | Cosmological constant | Red shift | Approximation | Mathematical analysis | Lattices | Cosmology | Evolution | Mathematical models

EVOLUTION | COSMOLOGICAL VOID MODELS | LARGE-SCALE STRUCTURE | ASTRONOMY & ASTROPHYSICS | DARK ENERGY | REGGE CALCULUS | PHYSICS, PARTICLES & FIELDS | Cosmological constant | Red shift | Approximation | Mathematical analysis | Lattices | Cosmology | Evolution | Mathematical models

Journal Article

International Journal for Numerical Methods in Fluids, ISSN 0271-2091, 04/2014, Volume 74, Issue 10, pp. 699 - 731

SUMMARY We present a Lagrangian formulation for finite element analysis of quasi‐incompressible fluids that has excellent mass preservation features. The...

quasi‐incompressible flows | Lagrangian formulation | finite element method | reduced mass loss | incompressible flows | Finite element method | Quasi-incompressible flows | Incompressible flows | Reduced mass loss | PHYSICS, FLUIDS & PLASMAS | CALCULUS | BED EROSION | SIMULATION | FREE-SURFACE FLOWS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | quasi-incompressible flows | SOLIDS | TOOL | Collapse | Fluids | Computational fluid dynamics | Tanks | Mathematical analysis | Fluid flow | Mathematical models

quasi‐incompressible flows | Lagrangian formulation | finite element method | reduced mass loss | incompressible flows | Finite element method | Quasi-incompressible flows | Incompressible flows | Reduced mass loss | PHYSICS, FLUIDS & PLASMAS | CALCULUS | BED EROSION | SIMULATION | FREE-SURFACE FLOWS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | quasi-incompressible flows | SOLIDS | TOOL | Collapse | Fluids | Computational fluid dynamics | Tanks | Mathematical analysis | Fluid flow | Mathematical models

Journal Article

Mathematical Finance, ISSN 0960-1627, 07/2016, Volume 26, Issue 3, pp. 589 - 601

Many investment models in discrete or continuous‐time settings boil down to maximizing an objective of the quantile function of the decision variable. This...

behavioral finance | law‐invariant | CPT | time consistency | portfolio choice/selection | change‐of‐variable | atomless/nonatomic | calculus of variations | RDUT | atomic | functional optimization problem | probability weighting/distortion function | quantile formulation | relaxation method | Time consistency | Probability weighting/distortion function | Change-of-variable | Law-invariant | Atomic | Portfolio choice/selection | Behavioral finance | Functional optimization problem | Quantile formulation | Atomless/nonatomic | Relaxation method | Calculus of variations | law-invariant | change-of-variable | portfolio choice | atomless | nonatomic | BUSINESS, FINANCE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | selection | distortion function | SOCIAL SCIENCES, MATHEMATICAL METHODS | ECONOMICS | probability weighting | PORTFOLIO | CONSUMPTION | Studies | Economic theory | Investment policy | Financial services

behavioral finance | law‐invariant | CPT | time consistency | portfolio choice/selection | change‐of‐variable | atomless/nonatomic | calculus of variations | RDUT | atomic | functional optimization problem | probability weighting/distortion function | quantile formulation | relaxation method | Time consistency | Probability weighting/distortion function | Change-of-variable | Law-invariant | Atomic | Portfolio choice/selection | Behavioral finance | Functional optimization problem | Quantile formulation | Atomless/nonatomic | Relaxation method | Calculus of variations | law-invariant | change-of-variable | portfolio choice | atomless | nonatomic | BUSINESS, FINANCE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | selection | distortion function | SOCIAL SCIENCES, MATHEMATICAL METHODS | ECONOMICS | probability weighting | PORTFOLIO | CONSUMPTION | Studies | Economic theory | Investment policy | Financial services

Journal Article

Computational Mechanics, ISSN 0178-7675, 9/2006, Volume 38, Issue 4, pp. 440 - 455

We present a general formulation for incompressible fluid flow analysis using the finite element method. The necessary stabilization for dealing with...

Finite element method | Engineering | Mechanics, Fluids, Thermodynamics | Finite calculus | High Reynolds numbers | Turbulence model | Incompressible fluid | Computational Science and Engineering | Theoretical and Applied Mechanics | Stabilized formulation | DISSIPATION | finite calculus | ADVECTIVE-DIFFUSIVE TRANSPORT | high Reynolds numbers | PETROV-GALERKIN FORMULATION | turbulence model | incompressible fluid | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | finite element method | NAVIER-STOKES EQUATIONS | stabilized formulation | COMPUTATIONAL FLUID-DYNAMICS | SYSTEMS | CALCULUS FORMULATION | FINITE-ELEMENT-METHOD | GENERALIZED STREAMLINE OPERATOR | EQUAL-ORDER INTERPOLATIONS | Incompressible flow | Turbulent flow | Computational fluid dynamics | Incompressibility | Stabilization | Turbulence models | Fluid flow | Nonlinear programming | Incompressible fluids | Anàlisi numèrica | Mètodes en elements finits | Fluid dynamics | Dinàmica de fluids | Matemàtiques i estadística | Mathematical models | Mètodes numèrics | Stabilized formulation Incompressible fluid Finite calculus Finite element method High Reynolds numbers Turbulence model | Àrees temàtiques de la UPC | Física | Física de fluids | Flux de fluids

Finite element method | Engineering | Mechanics, Fluids, Thermodynamics | Finite calculus | High Reynolds numbers | Turbulence model | Incompressible fluid | Computational Science and Engineering | Theoretical and Applied Mechanics | Stabilized formulation | DISSIPATION | finite calculus | ADVECTIVE-DIFFUSIVE TRANSPORT | high Reynolds numbers | PETROV-GALERKIN FORMULATION | turbulence model | incompressible fluid | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | finite element method | NAVIER-STOKES EQUATIONS | stabilized formulation | COMPUTATIONAL FLUID-DYNAMICS | SYSTEMS | CALCULUS FORMULATION | FINITE-ELEMENT-METHOD | GENERALIZED STREAMLINE OPERATOR | EQUAL-ORDER INTERPOLATIONS | Incompressible flow | Turbulent flow | Computational fluid dynamics | Incompressibility | Stabilization | Turbulence models | Fluid flow | Nonlinear programming | Incompressible fluids | Anàlisi numèrica | Mètodes en elements finits | Fluid dynamics | Dinàmica de fluids | Matemàtiques i estadística | Mathematical models | Mètodes numèrics | Stabilized formulation Incompressible fluid Finite calculus Finite element method High Reynolds numbers Turbulence model | Àrees temàtiques de la UPC | Física | Física de fluids | Flux de fluids

Journal Article