Inside Finite Elements

All relevant implementation aspects of finite element methods are discussed in this book. The focus is on algorithms and data structures as well as on their concrete implementation. Theory is covered only as far as it gives insight into the construction of algorithms. In the exercises, a complete FE-solver for stationary 2D problems is implemented in Matlab/Octave.

Contents:
Finite Element Fundamentals
Grids and Finite Elements
Assembly
Solvers
Error Estimation
Mesh Refinement
Multigrid
Elastomechanics
Fluid Mechanics
Grid Data Structure
Function Reference

• A concise guide to algorithmic and implementation aspects of finite elements.
• A complete FE-solver for 2D problems implemented in Matlab/Octave exercises.
• Both advanced algorithmic concepts and application aspects are covered.

Martin Weiser, Konrad-Zuse-Zentrum für Informationstechnik, Germany.

"This book is a "must have" for mathematicians and engineers interested in scientific computing and applied mathematics."
Răzvan Răducanu in: Zentralblatt MATH 1343

„Die Sachverhalte werden kurz und bündig beschrieben. Das macht das Buch für […] Studenten, die schon etwas Erfahrung mit der Finiten Element Methode haben, zum idealen Nachschlagewerk bei praktischen Übungen.
Die Theorie wird kurz und knapp erläutert. Die praktischen Code Beispiele erleichtern den Studenten das Schreiben eigener Programme."
Dipl.-Ing. Martin Epperlein, Brandenburgische TU Cottbus Senftenberg