Numerical solution of partial differential equations theory, algorithms, and their applications : in honor of Professor Raytcho Lazarov's 40 years of research in computational methods and applied mathematics Oleg P. Iliev [and others], editors

Format:

Book

Contributor:

Iliev, O. P. (Oleg P.)

Series:

Springer proceedings in mathematics & statistics v. 45

Springer proceedings in mathematics & statistics 2194-1009 v. 45

Language:

English

Subjects (All):

Lazarov, Raĭcho.

Differential equations, Partial--Numerical solutions.

Differential equations, Partial.

Genre:

Festschriften

Physical Description:

1 online resource

Place of Publication:

New York, NY Springer ©2013

System Details:

text file

PDF

Summary:

One of the current main challenges in the area of scientific computing is the design and implementation of accurate numerical models for complex physical systems which are described by time-dependent coupled systems of nonlinear PDEs. This volume integrates the works of experts in computational mathematics and its applications, with a focus on modern algorithms which are at the heart of accurate modeling: adaptive finite element methods, conservative finite difference methods and finite volume methods, and multilevel solution techniques. Fundamental theoretical results are revisited in survey articles, and new techniques in numerical analysis are introduced. Applications showcasing the efficiency, reliability, and robustness of the algorithms in porous media, structural mechanics, and electromagnetism are presented. Researchers and graduate students in numerical analysis and numerical solutions of PDEs and their scientific computing applications will find this book useful

Contents:

Improving Conservation for First-Order System Least-Squares Finite-Element Methods J.H. Adler, P.S. Vassilevski Multiscale Coarsening for Linear Elasticity by Energy Minimization Marco Buck, Oleg Iliev, Heiko Andrä Preconditioners for Some Matrices of Two-by-Two Block Form, with Applications, I Owe Axelsson A Multigrid Algorithm for an Elliptic Problem with a Perturbed Boundary Condition Andrea Bonito, Joseph E. Pasciak Parallel Unsmoothed Aggregation Algebraic Multigrid Algorithms on GPUs James Brannick, Yao Chen, Xiaozhe Hu Aspects of Guaranteed Error Control in CPDEs C. Carstensen, C. Merdon, J. Neumann A Finite Volume Element Method for a Nonlinear Parabolic Problem P. Chatzipantelidis, V. Ginting Multidimensional Sensitivity Analysis of Large-Scale Mathematical Models Ivan Dimov, Rayna Georgieva Structures and Waves in a Nonlinear Heat-Conducting Medium Stefka Dimova, Milena Dimova Efficient Parallel Algorithms for Unsteady Incompressible Flows Jean-Luc Guermond, Peter D. Minev Efficient Solvers for Some Classes of Time-Periodic Eddy Current Optimal Control Problems Michael Kolmbauer, Ulrich Langer Robust Algebraic Multilevel Preconditioners for Anisotropic Problems J. Kraus, M. Lymbery, S. Margenov A Weak Galerkin Mixed Finite Element Method for Biharmonic Equations Lin Mu, Junping Wang, Yanqiu Wang, Xiu Ye Domain Decomposition Scheme for First-Order Evolution Equations with Nonselfadjoint Operators Petr Vabishchevich, Petr Zakharov Spectral Coarse Spaces in Robust Two-Level Schwarz Methods J. Willems

Notes:

Includes bibliographical references

Print version record

Other Format:

Print version Numerical solution of partial differential equations

ISBN:

9781461471721

1461471729

1461471710

9781461471714

OCLC:

848807320

Access Restriction:

Restricted for use by site license