Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book presents the mathematical theory of finite elements, starting from basic results on approximation theory and finite element interpolation and building up to more recent research topics, such as and Discontinuous Galerkin, subgrid viscosity stabilization, and a posteriori error estimation. The body of the text is organized into three parts plus two appendices collecting the functional analysis results used in the book. The first part develops the theoretical basis for the finite element method and emphasizes the fundamental role of inf-sup conditions. The second party addresses various applications encompassing elliptic PDE's, mixed formulations, first-order PDEs, and the time-dependent versions of these problems. The third part covers implementation issues and should provide readers with most of the practical details needed to write or understand a finite element code. Written at the graduate level, the text contains numerous examples and exercises and is intended to serve as a graduate textbook. Depending on one's interests, several reading paths can be followed, emphasizing either theoretical results, numerical algorithms, code efficiency, or applications in the engineering sciences. The book will be useful to researchers and graduate students in mathematics, computer science and engineering.

Finite element method. --- Méthode des éléments finis --- Finite element method --- Méthode des éléments finis --- Mathematical analysis. --- Analysis (Mathematics). --- Applied mathematics. --- Engineering mathematics. --- Computer science—Mathematics. --- Partial differential equations. --- Computer mathematics. --- Analysis. --- Applications of Mathematics. --- Math Applications in Computer Science. --- Partial Differential Equations. --- Computational Mathematics and Numerical Analysis. --- Mathematical and Computational Engineering. --- Computer mathematics --- Electronic data processing --- Mathematics --- Partial differential equations --- Engineering --- Engineering analysis --- Mathematical analysis --- 517.1 Mathematical analysis --- Éléments finis, Méthode des --- Acqui 2006 --- Éléments finis, Méthode des.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Calculus. --- Functional analysis. --- Functions. --- Harmonic analysis. --- Mathematical analysis. --- 517.1 Mathematical analysis --- Mathematical analysis --- Analysis (Mathematics) --- Functions, Potential --- Potential functions --- Banach algebras --- Calculus --- Mathematics --- Bessel functions --- Fourier series --- Harmonic functions --- Time-series analysis --- Differential equations --- Numbers, Complex --- Set theory --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Fluxions (Mathematics) --- Infinitesimal calculus --- Limits (Mathematics) --- Functions --- Geometry, Infinitesimal --- Mètode dels elements finits --- Equacions en derivades parcials --- EDPs --- Equació diferencial en derivades parcials --- Equacions diferencials en derivades parcials --- Equacions diferencials parcials --- Equacions diferencials --- Dispersió (Matemàtica) --- Equació d'ona --- Equació de Dirac --- Equació de Fokker-Planck --- Equació de Schrödinger --- Equacions de Navier-Stokes --- Equacions de Hamilton-Jacobi --- Equacions de Maxwell --- Equacions de Monge-Ampère --- Equacions de Von Karman --- Equacions diferencials el·líptiques --- Equacions diferencials hiperbòliques --- Equacions diferencials parabòliques --- Equacions diferencials parcials estocàstiques --- Funcions harmòniques --- Laplacià --- Problema de Cauchy --- Problema de Neumann --- Teoria espectral (Matemàtica) --- Anàlisi numèrica --- Equacions de Von Kármán

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book introduces the basic ideas for building discontinuous Galerkin methods and, at the same time, incorporates several recent mathematical developments. It is to a large extent self-contained and is intended for graduate students and researchers in numerical analysis. The material covers a wide range of model problems, both steady and unsteady, elaborating from advection-reaction and diffusion problems up to the Navier-Stokes equations and Friedrichs' systems. Both finite-element and finite-volume viewpoints are utilized to convey the main ideas underlying the design of the approximation. The analysis is presented in a rigorous mathematical setting where discrete counterparts of the key properties of the continuous problem are identified. The framework encompasses fairly general meshes regarding element shapes and hanging nodes. Salient implementation issues are also addressed.

Discontinuous functions. --- Engineering mathematics. --- Galerkin methods. --- Galerkin methods --- Discontinuous functions --- Engineering mathematics --- Mathematics --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Calculus --- Applied Mathematics --- Engineering --- Engineering analysis --- Functions, Discontinuous --- Sinc-Galerkin methods --- Sinc methods --- Mathematics. --- Computer mathematics. --- Numerical analysis. --- Applied mathematics. --- Numerical Analysis. --- Computational Mathematics and Numerical Analysis. --- Appl.Mathematics/Computational Methods of Engineering. --- Mathematical analysis --- Functions --- Numerical analysis --- Computer science --- Mathematical and Computational Engineering. --- Computer mathematics --- Discrete mathematics --- Electronic data processing

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Elasticitat --- Models matemàtics --- Física de l'estat sòlid --- Física --- Dinàmica reticular --- Electrònica de l'estat sòlid --- Estructura cristal·lina (Sòlids) --- Micromecànica --- Vidres de spin --- Sòlids --- Models (Matemàtica) --- Models experimentals --- Models teòrics --- Mètodes de simulació --- Anàlisi de sistemes --- Mètode de Montecarlo --- Modelització multiescala --- Models economètrics --- Models lineals (Estadística) --- Models multinivell (Estadística) --- Models no lineals (Estadística) --- Programació (Ordinadors) --- Simulació per ordinador --- Teoria de màquines --- Models biològics --- Estàtica --- Física matemàtica --- Impacte --- Mecànica --- Mecànica analítica --- Propietats de la matèria --- Aeroelasticitat --- Equacions de Von Karman --- Fotoelasticitat --- Histèresi --- Mecànica dels medis continus --- Ones elàstiques --- Termoelasticitat --- Plasticitat --- Viscoelasticitat --- Esforç i tensió --- Reologia --- Resistència de materials --- Equacions de Von Kármán --- Elasticity. --- Diffusion --- Solid state physics. --- Mathematical models. --- Physics --- Solids --- Mathematical physics --- Matter --- Statics --- Rheology --- Strains and stresses --- Strength of materials --- Elastic properties --- Young's modulus --- Properties