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Recent Advances in Adaptive Computation
Edited by: Z.-C. Shi and Z. Chen, Chinese Academy of Sciences, Beijing, China, T. Tang, Hong Kong Baptist University, China, and D. Yu, Chinese Academy of Sciences, Beijing, China

Contemporary Mathematics
2005; 386 pp; softcover
Volume: 383
ISBN-10: 0-8218-3662-5
ISBN-13: 978-0-8218-3662-0
List Price: US$120
Member Price: US$96
Order Code: CONM/383
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There has been rapid development in the area of adaptive computation over the past decade. The International Conference on Recent Advances in Adaptive Computation was held at Zhejiang University (Hangzhou, China) to explore these new directions. The conference brought together specialists to discuss modern theories and practical applications of adaptive methods. This volume contains articles reflecting the invited talks given by leading mathematicians at the conference. It is suitable for graduate students and researchers interested in methods of computation.


Graduate students and research mathematicians interested in methods of computation.

Table of Contents

  • M. Ainsworth -- A synthesis of a posteriori error estimation techniques for conforming, non-conforming and discontinuous Galerkin finite element methods
  • C. Carstensen and M. Jensen -- Averaging techniques for reliable and efficient a posteriori finite element error control: Analysis and applications
  • Z. Chen and X. Liu -- Adaptive computation with PML for time-harmonic scattering problems
  • B. Guo -- Recent progress on a-posteriori error analysis for the \(p\) and \(h\)-\(p\) finite element methods
  • R. H. W. Hoppe -- Adaptive mortar edge element methods in electromagnetic field computation
  • W. B. Liu -- Adaptive multi-meshes in finite element approximation of optimal control
  • R. Rannacher -- Adaptive finite element methods in flow computations
  • A. H. Schatz -- Maximum norm error estimates for the finite element method allowing highly refined grids
  • T. Tang -- Moving mesh methods for computational fluid dynamics
  • J. Behrens and L. Mentrup -- A conservative scheme for 2D and 3D adaptive semi-Lagrangian advection
  • L. Chen and J. Xu -- An optimal streamline diffusion finite element method for a singularly perturbed problem
  • Y. Chen -- A posteriori error estimates of mixed methods for two phase flow problems
  • M. Gunzburger and H.-C. Lee -- Reduced-order modeling of Navier-Stokes equations via centroidal Voronoi tessellation
  • B.-O. Heimsund and X.-C. Tai -- A two-mesh superconvergence method for mesh adaptivity
  • W. Huang and X. Zhan -- Adaptive moving mesh modeling for two dimensional groundwater flow and transport
  • Y.-L. Huang and W.-C. Wang -- Adaptive computation of the corner singularity with the monotone jump condition capturing scheme
  • S. Li -- Adaptive mesh refinement and its application to magneto-hydrodynamics
  • Z. Li and X. Yang -- An immersed finite element method for elasticity equations with interfaces
  • R. Lin and Z. Zhang -- Derivative superconvergence of equilateral triangular finite elements
  • K. Liang and P. Lin -- A splitting moving mesh method for 3-D quenching and blow-up problems
  • K.-S. Moon, E. von Schwerin, A. Szepessy, and R. Tempone -- An adaptive algorithm for ordinary, stochastic and partial differential equations
  • N. Yan -- Recovery type a posteriori error estimate for distributed convex optimal control problems governed by integral-differential equations
  • S. Zhang and D. Yu -- A mortar element method for coupling natural boundary element method and finite element method for unbounded domain problem
  • P. A. Zegeling, W. D. de Boer, and H. Z. Tang -- Robust and efficient adaptive moving mesh solution of the 2-D Euler equations
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