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Mathematical physics --- Eindige-elementenmethode --- Multigrid-methoden --- Technische mechanica --- Boundary value problems --- Finite element method. --- Numerical solutions. --- fem --- sterkteleer --- elasticiteit --- Eindige-elementenmethode. --- Multigrid-methoden. --- Technische mechanica. --- Finite element method --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- Numerical analysis --- Isogeometric analysis --- Numerical solutions

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Key features:

- Presents fundamental theory in an accessible and logical way.
- Explains finite element analysis using simple, understandable mathematics.
- Emphasizes the practical approach to the study, teaching through worked examples.
- Describes commercially-available finite element packages.
- Introduces more advanced non-linear, eigenvalue and transient applications.
- A finite element program to accompany the text is available for the author.

Undergraduate and graduate mechanical engineering students and practising engineers, who require an introduction to the subject, will find this book essential for their studies and for reference.


finite element method --- CAE (computer aided engineering) --- computer-aided engineering --- Discrete mathematics --- eindige elementen --- Finite element method --- 539.4.01 --- elasticiteit --- materialen --- sterkteleer --- toegepaste mechanica --- wiskunde --- fea --- fem --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- Numerical analysis --- Isogeometric analysis --- (zie ook: finite element analysis) --- Finite element method. --- Eindige-elementenmethode --- Multigrid-methoden --- Technische mechanica --- Eindige-elementenmethode. --- Multigrid-methoden. --- Technische mechanica. --- Résolution de problème --- Problem solving

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Difference equations --- Finite element method --- Groundwater flow --- 556.3 --- 631.432.3 --- 681.3*I63 --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- Numerical analysis --- Isogeometric analysis --- Calculus of differences --- Differences, Calculus of --- Equations, Difference --- 681.3*I63 Applications (Simulation and modeling) --- Applications (Simulation and modeling) --- 556.3 Groundwater hydrology. Geohydrology. Hydrogeology --- Groundwater hydrology. Geohydrology. Hydrogeology --- 631.432.3 Permeability. Lessivage. Leaching. Mobility of soil constituents --- Permeability. Lessivage. Leaching. Mobility of soil constituents --- Mathematical models --- Hydrosphere

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Finite element method --- 681.3 *G18 --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- Numerical analysis --- Isogeometric analysis --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Mathematical analysis --- Enseignement --- Teaching --- Éléments finis, Méthode des --- Calculs numériques --- Mathématiques --- Matrices --- Calculs numériques --- Éléments finis, Méthode des. --- Mathématiques

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This is the first book devoted to the least-squares finite element method (LSFEM), which is a simple, efficient and robust technique for the numerical solution of partial differential equations. The book demonstrates that the LSFEM can solve a broad range of problems in fluid dynamics and electromagnetics with only one mathematical/computational formulation. The book shows that commonly adopted special treatments in computational fluid dynamics and computational electromagnetics, such as upwinding, numerical dissipation, staggered grid, non-equal-order elements, operator splitting and preconditioning, edge elements, vector potential, and so on, are unnecessary. This book introduces the basic theory of the least-squares method for first-order PDE systems, particularly the div-curl system and the div-curl-grad system. It is applied to the study of permissible boundary conditions for the incompressible Navier--Stokes equations, to show that the divergence equations in the Maxwell equations are not redundant, and to derive equivalent second-order versions of the Navier--Stokes equations and the Maxwell equations. This book covers diverse applications such as incompressible viscous flows, rotational inviscid flows, low- or high-Mach-number compressible flows, two-fluid flows, convective flows, and scattering waves.

Mathematical statistics --- Differential equations, Partial --- -Electromagnetism --- -Finite element method --- Fluid mechanics --- -Least squares --- 519.6 --- 681.3 *G18 --- Method of least squares --- Squares, Least --- Curve fitting --- Geodesy --- Mathematics --- Probabilities --- Triangulation --- Hydromechanics --- Continuum mechanics --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- Numerical analysis --- Isogeometric analysis --- Electromagnetics --- Magnetic induction --- Magnetism --- Metamaterials --- Partial differential equations --- Numerical solutions --- Computational mathematics. Numerical analysis. Computer programming --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Electromagnetism --- Finite element method. --- Least squares. --- Numerical solutions. --- Mathematics. --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Physics. --- Continuum physics. --- Optics. --- Electrodynamics. --- Calculus of variations. --- Computer mathematics. --- Fluids. --- Numerical and Computational Physics, Simulation. --- Classical and Continuum Physics. --- Classical Electrodynamics. --- Calculus of Variations and Optimal Control; Optimization. --- Computational Science and Engineering. --- Fluid- and Aerodynamics. --- Hydraulics --- Mechanics --- Physics --- Hydrostatics --- Permeability --- Computer mathematics --- Electronic data processing --- Isoperimetrical problems --- Variations, Calculus of --- Maxima and minima --- Dynamics --- Light --- Classical field theory --- Continuum physics --- Natural philosophy --- Philosophy, Natural --- Physical sciences