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Recent Advances in Adaptive Computation
 
Edited by: Z.-C. Shi :  Chinese Academy of Sciences, Beijing, China
Z. Chen :  Chinese Academy of Sciences, Beijing, China
T. Tang :  Hong Kong Baptist University, Hong Kong, China
D. Yu :  Chinese Academy of Sciences, Beijing, China
Recent Advances in Adaptive Computation
eBook ISBN:  978-0-8218-7973-3
Product Code:  CONM/383.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Add to cart
Recent Advances in Adaptive Computation
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Recent Advances in Adaptive Computation
Edited by: Z.-C. Shi :  Chinese Academy of Sciences, Beijing, China
Z. Chen :  Chinese Academy of Sciences, Beijing, China
T. Tang :  Hong Kong Baptist University, Hong Kong, China
D. Yu :  Chinese Academy of Sciences, Beijing, China
eBook ISBN:  978-0-8218-7973-3
Product Code:  CONM/383.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Add to cart
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 383; 2005; 386 pp
    MSC: Primary 65; 76

    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.
    Readership

    Graduate students and research mathematicians interested in methods of computation.
  • Table of Contents
     
     
    • Articles
    • Mark Ainsworth — A synthesis of a posteriori error estimation techniques for conforming, non-conforming and discontinuous Galerkin finite element methods [ MR 2195792 ]
    • Carsten Carstensen and Max Jensen — Averaging techniques for reliable and efficient a posteriori finite element error control: analysis and applications [ MR 2195793 ]
    • Zhiming Chen and Xuezhe Liu — Adaptive computation with PML for time-harmonic scattering problems [ MR 2195794 ]
    • Benqi Guo — Recent progress on a-posteriori error analysis for the $p$ and $h\text {-}p$ finite element methods [ MR 2195795 ]
    • Ronald H. W. Hoppe — Adaptive mortar edge element methods in electromagnetic field computation [ MR 2195796 ]
    • W. B. Liu — Adaptive multi-meshes in finite element approximation of optimal control [ MR 2195797 ]
    • Alfred H. Schatz — Maximum norm error estimates for the finite element method allowing highly refined grids [ MR 2195798 ]
    • Tao Tang — Moving mesh methods for computational fluid dynamics [ MR 2195799 ]
    • Jörn Behrens and Lars Mentrup — A conservative scheme for 2D and 3D adaptive semi-Lagrangian advection [ MR 2195800 ]
    • Long Chen and Jinchao Xu — An optimal streamline diffusion finite element method for a singularly perturbed problem [ MR 2195801 ]
    • Yanping Chen — A posteriori error estimates of mixed methods for two phase flow problems [ MR 2195802 ]
    • Max Gunzburger and Hyung-Chun Lee — Reduced-order modeling of Navier-Stokes equations via centroidal Voronoi tessellation [ MR 2195803 ]
    • Bjørn-Ove Heimsund and Xue-Cheng Tai — A two-mesh superconvergence method for mesh adaptivity [ MR 2195884 ]
    • Weizhang Huang and Xiaoyong Zhan — Adaptive moving mesh modeling for two dimensional groundwater flow and transport [ MR 2195885 ]
    • Yin-Liang Huang and Wei-Cheng Wang — Adaptive computation of the corner singularity with the monotone jump condition capturing scheme [ MR 2195886 ]
    • Shengtai Li — Adaptive mesh refinement and its application to magneto-hydrodynamics [ MR 2195887 ]
    • Zhilin Li and Xingzhou Yang — An immersed finite element method for elasticity equations with interfaces [ MR 2195888 ]
    • Runchang Lin and Zhimin Zhang — Derivative superconvergence of equilateral triangular finite elements [ MR 2195889 ]
    • Kewei Liang and Ping Lin — A splitting moving mesh method for 3-D quenching and blow-up problems [ MR 2195890 ]
    • Kyoung-Sook Moon, Erik von Schwerin, Anders Szepessy and Raúl Tempone — An adaptive algorithm for ordinary, stochastic and partial differential equations [ MR 2195891 ]
    • Ningning Yan — Recovery type a posteriori error estimate for distributed convex optimal control problems governed by integral-differential equations [ MR 2195892 ]
    • Sheng Zhang and Dehao Yu — A mortar element method for coupling natural boundary element method and finite element method for unbounded domain problem [ MR 2195893 ]
    • P. A. Zegeling, W. D. de Boer and H. Z. Tang — Robust and efficient adaptive moving mesh solution of the 2-D Euler equations [ MR 2195894 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Contemporary Mathematics
Volume: 383; 2005; 386 pp
MSC: Primary 65; 76

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.
Readership

Graduate students and research mathematicians interested in methods of computation.
  • Articles
  • Mark Ainsworth — A synthesis of a posteriori error estimation techniques for conforming, non-conforming and discontinuous Galerkin finite element methods [ MR 2195792 ]
  • Carsten Carstensen and Max Jensen — Averaging techniques for reliable and efficient a posteriori finite element error control: analysis and applications [ MR 2195793 ]
  • Zhiming Chen and Xuezhe Liu — Adaptive computation with PML for time-harmonic scattering problems [ MR 2195794 ]
  • Benqi Guo — Recent progress on a-posteriori error analysis for the $p$ and $h\text {-}p$ finite element methods [ MR 2195795 ]
  • Ronald H. W. Hoppe — Adaptive mortar edge element methods in electromagnetic field computation [ MR 2195796 ]
  • W. B. Liu — Adaptive multi-meshes in finite element approximation of optimal control [ MR 2195797 ]
  • Alfred H. Schatz — Maximum norm error estimates for the finite element method allowing highly refined grids [ MR 2195798 ]
  • Tao Tang — Moving mesh methods for computational fluid dynamics [ MR 2195799 ]
  • Jörn Behrens and Lars Mentrup — A conservative scheme for 2D and 3D adaptive semi-Lagrangian advection [ MR 2195800 ]
  • Long Chen and Jinchao Xu — An optimal streamline diffusion finite element method for a singularly perturbed problem [ MR 2195801 ]
  • Yanping Chen — A posteriori error estimates of mixed methods for two phase flow problems [ MR 2195802 ]
  • Max Gunzburger and Hyung-Chun Lee — Reduced-order modeling of Navier-Stokes equations via centroidal Voronoi tessellation [ MR 2195803 ]
  • Bjørn-Ove Heimsund and Xue-Cheng Tai — A two-mesh superconvergence method for mesh adaptivity [ MR 2195884 ]
  • Weizhang Huang and Xiaoyong Zhan — Adaptive moving mesh modeling for two dimensional groundwater flow and transport [ MR 2195885 ]
  • Yin-Liang Huang and Wei-Cheng Wang — Adaptive computation of the corner singularity with the monotone jump condition capturing scheme [ MR 2195886 ]
  • Shengtai Li — Adaptive mesh refinement and its application to magneto-hydrodynamics [ MR 2195887 ]
  • Zhilin Li and Xingzhou Yang — An immersed finite element method for elasticity equations with interfaces [ MR 2195888 ]
  • Runchang Lin and Zhimin Zhang — Derivative superconvergence of equilateral triangular finite elements [ MR 2195889 ]
  • Kewei Liang and Ping Lin — A splitting moving mesh method for 3-D quenching and blow-up problems [ MR 2195890 ]
  • Kyoung-Sook Moon, Erik von Schwerin, Anders Szepessy and Raúl Tempone — An adaptive algorithm for ordinary, stochastic and partial differential equations [ MR 2195891 ]
  • Ningning Yan — Recovery type a posteriori error estimate for distributed convex optimal control problems governed by integral-differential equations [ MR 2195892 ]
  • Sheng Zhang and Dehao Yu — A mortar element method for coupling natural boundary element method and finite element method for unbounded domain problem [ MR 2195893 ]
  • P. A. Zegeling, W. D. de Boer and H. Z. Tang — Robust and efficient adaptive moving mesh solution of the 2-D Euler equations [ MR 2195894 ]
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