Computing Methods in Optimization Problems

This book presents a comprehensive overview of bridge and road engineering. The book provides detailed insight into the impact of bridges and roads on the environment and the benefits of adopting development assessment systems to increase the safety of bridge structures, roads, and highways.

Many features in the behaviour of structures, materials and flows are caused by phenomena that occur at one to several scales below common levels of observation. Multiscale methods account for this scale dependence: They either derive properties at the level of observation by repeated numerical homogenization of more fundamental physical properties defined several scales below (upscaling), or they devise concurrent schemes where those parts of the domain that are of interest are computed with a higher resolution than parts that are of less interest or where the solution is varying only slowly. This work is a result of a sustained German-Dutch cooperation and written by internationally leading experts in the field and gives a modern, up-to-date account of recent developments in computational multiscale mechanics. Both upscaling and concurrent computing methodologies are addressed for a range of application areas in computational solid and fluid mechanics: Scale transitions in materials, turbulence in fluid-structure interaction problems, multiscale/multilevel optimization, multiscale poromechanics.

Many features in the behaviour of structures, materials and flows are caused by phenomena that occur at one to several scales below common levels of observation. Multiscale methods account for this scale dependence: They either derive properties at the level of observation by repeated numerical homogenization of more fundamental physical properties defined several scales below (upscaling), or they devise concurrent schemes where those parts of the domain that are of interest are computed with a higher resolution than parts that are of less interest or where the solution is varying only slowly. This work is a result of a sustained German-Dutch cooperation and written by internationally leading experts in the field and gives a modern, up-to-date account of recent developments in computational multiscale mechanics. Both upscaling and concurrent computing methodologies are addressed for a range of application areas in computational solid and fluid mechanics: Scale transitions in materials, turbulence in fluid-structure interaction problems, multiscale/multilevel optimization, multiscale poromechanics.

Many features in the behaviour of structures, materials and flows are caused by phenomena that occur at one to several scales below common levels of observation. Multiscale methods account for this scale dependence: They either derive properties at the level of observation by repeated numerical homogenization of more fundamental physical properties defined several scales below (upscaling), or they devise concurrent schemes where those parts of the domain that are of interest are computed with a higher resolution than parts that are of less interest or where the solution is varying only slowly. This work is a result of a sustained German-Dutch cooperation and written by internationally leading experts in the field and gives a modern, up-to-date account of recent developments in computational multiscale mechanics. Both upscaling and concurrent computing methodologies are addressed for a range of application areas in computational solid and fluid mechanics: Scale transitions in materials, turbulence in fluid-structure interaction problems, multiscale/multilevel optimization, multiscale poromechanics.

The 93 revised full papers presented together with 5 plenary and invited papers were carefully reviewed and selected from numerous submissions for inclusion in the book. The papers are organized in topical sections on multilevel and multiscale preconditioning methods multilevel and multiscale methods for industrial applications, environmental modeling, control and uncertain systems, application of metaheuristics to large scale problems, monte carlo: methods, applications, distributed computing, grid and scientific and engineering applications, reliable numerical methods for differential equations, novel applications of optimization ideas to the numerical Solution of PDEs, and contributed talks.