This edited volume offers a state of the art overview of fast and robust solvers for the Helmholtz equation. The book consists of three parts:
new developments and analysis in Helmholtz solvers, practical methods and implementations of Helmholtz solvers, and industrial applications.
The Helmholtz equation appears in a wide range of science and engineering disciplines in which wave propagation is modeled. Examples are: seismic inversion, ultrasone medical imaging, sonar detection of submarines, waves in harbours and many more. The partial differential equation looks simple but...
This edited volume offers a state of the art overview of fast and robust solvers for the Helmholtz equation. The book consists of three parts:
The focus of this monograph is the development of space-time adaptive methods to solve the convection/reaction dominated non-stationary semi-linear advection diffusion reaction (ADR) equations with internal/boundary layers in an accurate and efficient way. After introducing the ADR equations and discontinuous Galerkin discretization, robust residual-based a posteriori error estimators in space and time are derived. The elliptic reconstruction technique is then utilized to derive the a posteriori error bounds for the fully discrete system and to obtain optimal orders of convergence.As coupled...
The focus of this monograph is the development of space-time adaptive methods to solve the convection/reaction dominated non-stationary semi-linear ad...
This book provides a clear and comprehensive survey of the "status quo" of the interrelating process and cross-fertilization of structures and methods in mathematical geodesy, written by leading experts. Starting with a foundation of special functions, potential theory, functional analysis, boundary value problems, constructive approximation, and inverse problems, readers are subsequently introduced into today's geodetic observables, geoidal modeling, gravimetry, and satellite gravity gradiometry. All chapters are self-contained and can be studied individually, making the book an ideal...
This book provides a clear and comprehensive survey of the "status quo" of the interrelating process and cross-fertilization of structures and meth...
This book presents in a consistent and unified overview results and developments in the field of today's spehrical sampling particularly arising in mathematical geosciences.
This book presents in a consistent and unified overview results and developments in the field of today's spehrical sampling particularly arising in m...
