1.

Record Nr.

UNINA9910437764103321

Titolo

Advanced finite element methods and applications / / Thomas Apel and Olaf Steinbach (eds.)

Pubbl/distr/stampa

Berlin ; ; New York, : Springer, 2010

ISBN

9786613847638

9781283535182

1283535181

9783642303166

3642303161

Edizione

[1st ed. 2013.]

Descrizione fisica

1 online resource (379 p.)

Collana

Lecture notes in applied and computational mechanics ; ; 66

Altri autori (Persone)

ApelThomas

SteinbachOlaf

Disciplina

629.108

Soggetti

Finite element method

Mathematics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Splitting of Elements.

Nota di contenuto

From the Contents: A Brief History of the Parallel Dawn in Karl-Marx-Stadt/Chemnitz -- Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes -- Fast Domain Decomposition Algorithms for Elliptic Problems with Piecewise Variable Orthotropism -- Inexact Additive Schwarz Solvers for hp-FEM Discretizations in Three Dimensions -- A Rigorous Error Analysis of Coupled FEM-BEM Problems with Arbitrary Many Subdomain -- A Review of Anisotropic Refinement Methods for Triangular Meshes in FEM -- A Postprocessing Finite Element Strategy for Poisson’s Equation in Polygonal Domains: Computing the Stress Intensity Factors.

Sommario/riassunto

This volume on some recent aspects of finite element methods and their applications is dedicated to Ulrich Langer and Arnd Meyer on the occasion of their 60th birthdays in 2012. Their work combines the numerical analysis of finite element algorithms, their efficient implementation on state of the art hardware architectures, and the collaboration with engineers and practitioners. In this spirit, this volume contains contributions of former students and collaborators



indicating the broad range of their interests in the theory and application of finite element methods. Topics cover the analysis of domain decomposition and multilevel methods, including hp finite elements, hybrid discontinuous Galerkin methods, and the coupling of finite and boundary element methods; the efficient solution of eigenvalue problems related to partial differential  equations with applications in electrical engineering and optics; and the solution of direct and inverse field problems in solid mechanics.