Description
This book presents the first survey of the Localized Orthogonal Decomposition (LOD) method, a pioneering approach for the numerical homogenization of partial differential equations with multiscale data beyond periodicity and scale separation. The authors provide a careful error analysis, including previously unpublished results, and a complete implementation of the method in MATLAB. They also reveal how the LOD method relates to classical homogenization and domain decomposition. Illustrated with numerical experiments that demonstrate the significance of the method, the book is enhanced by a survey of applications including eigenvalue problems and evolution problems.
Numerical Homogenization by Localized Orthogonal Decomposition is appropriate for graduate students in applied mathematics, numerical analysis, and scientific computing. Researchers in the field of computational partial differential equations will find this self-contained book of interest, as will applied scientists and engineers interested in multiscale simulation.
About the Author
Axel Malqvist is a professor of mathematics at Chalmers University of Technology and University of Gothenburg in Sweden. He is also a scientific adviser at the Fraunhofer Chalmers Centre. Prior to joining Gothenburg, he was an associate professor at Uppsala University, Sweden. Professor Malqvist's main scientific contributions are in the field of computational multiscale methods. In 2018, he received the Goeran Gustafsson prize in mathematics.
Daniel Peterseim holds the Chair for Computational Mathematics at the University of Augsburg, Germany. He was previously a full professor for numerical simulation at the University of Bonn. His research covers all aspects of computational partial differential equations with applications in engineering and physics. Professor Peterseim is most well known for his contributions in computational multiscale methods. In 2019, he received an ERC Consolidator Grant.
Book Information
ISBN 9781611976441
Author Axel Malqvist
Format Paperback
Page Count 108
Imprint Society for Industrial & Applied Mathematics,U.S.
Publisher Society for Industrial & Applied Mathematics,U.S.
Weight(grams) 265g
Numerical Homogenization by Localized Orthogonal Decomposition is appropriate for graduate students in applied mathematics, numerical analysis, and scientific computing. Researchers in the field of computational partial differential equations will find this self-contained book of interest, as will applied scientists and engineers interested in multiscale simulation.
About the Author
Axel Malqvist is a professor of mathematics at Chalmers University of Technology and University of Gothenburg in Sweden. He is also a scientific adviser at the Fraunhofer Chalmers Centre. Prior to joining Gothenburg, he was an associate professor at Uppsala University, Sweden. Professor Malqvist's main scientific contributions are in the field of computational multiscale methods. In 2018, he received the Goeran Gustafsson prize in mathematics.
Daniel Peterseim holds the Chair for Computational Mathematics at the University of Augsburg, Germany. He was previously a full professor for numerical simulation at the University of Bonn. His research covers all aspects of computational partial differential equations with applications in engineering and physics. Professor Peterseim is most well known for his contributions in computational multiscale methods. In 2019, he received an ERC Consolidator Grant.
Book Information
ISBN 9781611976441
Author Axel Malqvist
Format Paperback
Page Count 108
Imprint Society for Industrial & Applied Mathematics,U.S.
Publisher Society for Industrial & Applied Mathematics,U.S.
Weight(grams) 265g
